When the cross product between any two vector is zero then these vectors are perpendicular Ignore "Give your reasons" below. There is no need to give a reason. Select one: True False

Q: Use the Chain Rule to find dw/dt. dw dt = w = In x² + y² + z², x = 3 sint, y = 8 cost, z = 6 tan t

A: So, After the differentiation the final answer for the question is:…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: y = (lnx + C)/x is a solution to the differential equation (x^2)y' + xy = 1 a) Find a solution a…

A: please see the attached solution belowExplanation:Hope it will helps youplease ask if you gets any…

Q: How Hey Find Find the largest product the positive numbers X, Y and Z can have if x+y+z² = 16,…

A: Let  Let

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: We'll be analyzing the surface area of a round cylinder - in other words the amount of material…

A: The domain of A(r) represents the valid value for the radius r for which the function A(r) is…

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A: The exact area of the parallelogram is 726​. The approximate area of the parallelogram is…

Q: (8 points) Suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c…

A: I have given detailed solution below thanksExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: (a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² =…

A: For part (a), the surface integral evaluates to(−332π​). For part (b), the surface integral…

Q: Evaluate the definite integral 0 dx 2√√x(1±√x)2

A:

Q: Write the corresponding rectangular equation for the curve represented by the parametric equations…

A:

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

A:

Q: Q.2

A: The answer is given below.Explanation:

Q: The concentration of a drug in an organ t seconds after it has been administered is given by x(t) =…

A: The objective of the question is to understand the concentration of a drug in an organ at any given…

Q: 2 sin x+3sx=3 Write your answer in radians in terms of π. If there is more than he solution,…

A: c

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y"…

A: given IVP

Q: Show that the function (f : [0, infinity) -> R given by f(x) = e^{2x} - 2e^x + 2 ] has an inverse…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of…

A: The limit of the function f(x) at x= -6   exist if =

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: To calculate the surface area of S, we'll use the formula for the surface area of a parametric…

Q: Mercury moves in an elliptical orbit with the sun at one of the foci. The length of the half of the…

A: Length of half of major axis = 56996838 kilometersEccentricity= 0.2056

Q: tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

A: f(x) is a descrete functionWe have to find f(x) is continuous and differentiable at x= 0 or not

Q: Question The graph below represents the function g (a) and the graph gives selected values for the…

A:

Q: X+2 At what points is the function y = continuous? x²-11x+18 Describe the set of x-values where the…

A: Given function is We have to find the points where the given function y is continuous.

Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

A:

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: Suppose that the Quick-Fix Car Service franchise finds that the income generated by its stores can…

A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find f'(x). f(x)=3x-2 Inx 7 f'(x)=

A: (.) The given function is,              we find derivative of given function.

Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and   fx​≡fx​(g(t),h(t))

Q: Evaluate √ x²ekx dx. (Helpful hint: √ ekx dx = €** + C) ekx k

A: To evaluate the following integral.

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units…

A:

Q: Use the compound interest formula, A (t) = P(1 + 77) n After a certain number of years, the value of…

A: The value of investment is : $ 15903.61Explanation:

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: Determine which sets are vector spacesunder the given operations. For those that are not, list all…

A: The objective of the question is to determine whether the given set of all pairs of real numbers (x,…

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

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A: The resultant speed of the airplane is 801.783 km/h along the 85.02o from the x-axis.…

Q: Please review and solve problem 6 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answers are attached.Explanation:Step 1:

Q: Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

A: Formulas are used for solving this problem:-

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A: Hence the magnitude of the torque is 21.395385NmExplanation:Step 1:ForceF is [60,15,105]NForceF is…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 2.- Calculate the average value of the function f(x) =…

A: The average value of the given function isgiven by,Here,

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: Correct matches are:A. 3 B. 1 C. 5 D. 4 E. 2Explanation:A.  tan⁡(arcsin⁡(x/3)) corresponds to option…

Q: Express log3A, where A = numbers. 14 4 in terms of the logarithms of prime 7 √20 √/148 attempt left…

A: Refer the image posted in explanation for the answer .If you have any further questions or if…

Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Let (f : [0, infinity) -&gt; R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that for a given function f, which is continuous and…

Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

A: