Sketch 9x2 + 25y2 = 5625 and the line segments connecting (20, 0) and (-20, 0) to (15, 12)

Q: Show by example that the following statement is wrong. The number L is the limit of f(x) as x…

A:

Q: Consider a circle of radius 7 and a point P rotating around it, as shown in the figure to the left,…

A:

Q: Given that lim f(x) = 4 X-1 (b) lim [g(x)]³ X-1 (c) lim x-1 find each limit, if it exists. (If an…

A:

Q: Find parametric equations for the curve, and check your work by generating the curve with a graphing…

A:

Q: go O II 6 Paragraph For f(x)= x2+4 and g(x)=x2-4 find the following function (gof)(2) HE 7 Ty F8 G…

A:

Q: Find the area of the parallelogram with vertices: P(0, 0, 0, 0), Q(-3, 4, -4,-4), R(-3, 6, -5, -2),…

A:

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 1)(³√x − ²√x + 2) y' = X

A:

Q: Then Graph, emphasize the Limit. 5. lim x-3 √²-5+2 x-3

A: limx→3x2-5+2x-3 We have to find the limit.

Q: Tutorial Exercise Find the open interval(s) on which the curve given by the vector-valued function…

A:

Q: log[4.42(±0.01) × 10³7] c. y = d. y = [2.936(±0.002)] ¹/4

A:

Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

A: I am attaching image so that you understand each and every step.

Q: Solve the following exact differential equation (yery + 3x²)dx + (xeªy − 7)dy = 0 Express your…

A:

Q: The vector u = (3296, 1472, 2262) gives the numbers of hamburgers, chicken sandwiches, and…

A:

Q: Question 4x4 - 1 1 If F(x) = In(t) 4+1² dt, what is F'(x)? . Be sure to enter the argument for any…

A:

Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (fog)(x)

A: given that f(x)=5x-1 and g(x)=x+15 find (fog)(x)?

Q: If D, E and F are three points on the sides BC, CA and AB, respectively, of a triangle ABC such that…

A:

Q: Find dy du and du dx (a) y = u³ and u = x² + 2 dy du du dx dy dx (b) dy du du dx dy dx II 11 || y =…

A: Given, y=u3 and u=x2+2We know…

Q: Simplify 9(4")x63-4 22n-2 to the lowest single base.

A: Simplify the given

Q: Use f(x) = 4x − 5 and g(x) = 5 − x2 to evaluate the expression. - f(g(0))   - g(f(0))

A:

Q: Use trigonometric substitutions to evaluate the definite integral 1 [5x²³√1-x² dx.

A:

Q: Suppose that f(x) = C 4x-8 Then, The domain of f is {a E Rx # Number f-¹(z) = } an and

A:

Q: 7.    Evaluate the improper integral (if convergent). (If the quantity diverges, enter DIVERGES.) 8…

A:

Q: Given f(x)=8+3/x and g(x)=3/x find the function f/g Also find the domain for the function

A:

Q: If g(s) = 4√/s + O O 2 2 2 O4 O 4 1 7 S² 7 + + 82 + 7 82 7 s² 7 82 + + 7S 3 83/2 6 $3/2 3 $3/2 3…

A:

Q: Consider the following initial value problem: (t²- 20t+51). =y with y(10) = 1. dy dt A. Solve the…

A: We know, ∫ dx/x = ln|x| A. Given differential equation, (t²-20t+51)dy/dt =y  So, dy/y =…

Q: 1. Prove using index notation. ABC REF = AB (c@f) E¹: R ":"product is defined as where := Pij Qiz…

A: Given ......  A~B~c~ · D~E~f~ = A~B~(c~⊗f~)E~T:D~                 Where,…

Q: For f(x)= square root x and g(x)=x-1 find the following function (gof)(x) H HE

A:

Q: Differentiate. f(x) = ln(csc 5x + cot 5x)

A:

Q: (Technology Permitted) The population P of wild turkeys in a sanctuary is given by P(t)=et+2 5+1500,…

A:

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. x-c* |x+51 X+5' f(x) = (x+7)- x-5+…

A:

Q: Find f'(x) if f(x) = .

A: The given function is fx=π We have to find the derivative of fx

Q: Q2. Using cylindrical coordinates to find the volume of the region bounded below by the cone z =…

A:

Q: For f(x)= x2+4 and g(x)=x2-4 find the following function (fog)(x)

A: We have to find the function fog(x).

Q: ¹ƒ ƒ(x) + x³ [ƒ(x)]³ = 2052 and f(2)= 4, find f'(2) =

A: Given f(x)+x5f(x)3=2052

Q: Find the solution: dr = b(cos(0) dr + rsin(0)d0) b is a constant

A: The given equation is; dr=b(cos(theta)dr+rsin(theta)d(theta)).

Q: Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx = y (6x2 - 6x +…

A: find equation of tangent line? y=6x2-6x+11+2xat x=1y=13y=3pointx1,y1≡ 1,3

Q: Must solve the entire question1.Both subparts. Don't solve partially. Question1. a) Write the…

A: Given   1. For line 1 - Passing through point P-2, -3 and have x-intercept equal to -1. 2. For line…

Q: Define two vector functions r(t) = 4 sin(t)i + 3 cos(t)j + t²k ū(t) = 3 sin(t)i + 4 cos(t)j + t³k…

A: Calculating the dot product of given two vectors

Q: Consider the following. f(x)=x²-6x² + 7

A:

Q: At what points is the following function continuous? f(x) = x-3x-4 X-4 5, 1 x #4 x = 4 The function…

A:

Q: Find the general solution of the differential equation Write your solution in the form F(x, y) = C,…

A:

Q: If h(x) = 6 - 3x³, find h' (3). at the point (3,- 75). The Use this to find the equation of the…

A:

Q: If a stone is dropped from a height of 784 feet, its height s after t seconds is given by s(t) = 784…

A:

Q: Sketch a graph of ƒ(x) = = 8 7 6 Clear All Draw: 5432 5 4- 7 -8-7 -6 -5 -4 -3 -2 -1 1 -2 234 -5 67 7…

A: given f(x)=2x+611.5x-5if     x≤-1if  -1<x≤4if x>4

Q: For the function y = (x² + 4)(x³ − 9x), at (-3, 0) find the following. (a) the slope of the tangent…

A:

Q: 4. The picture shows the graph of cer- tain differentiable function f(x). (a) Find an equation for…

A:

Q: The Graph below represents the velocity of a particle moving on a horizontal line on the interval…

A:

Q: Find the particular solution: (1 + x³)dy - x²ydx = 0 when x=1, y=2

A: linear  differential equation of first order of the type dydx+P(x)y=Q(x).Then its solution is given…

Q: 9. [ DETAILS 10. What is the x-coordinate of any point in the yz-plane? LARSONET5 11.2.012. DETAILS…

A: This question can be solved using the concepts of three dimensional geometry.