Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and v to the nearest degree. 0 =

Q: Show that the stationary paths of this parametric functional are given by the solutions of the…

A: Final answer of the given question is attached in the explanation section.Explanation:

Q: Given the definite integral

A:

Q: VII) Solve the rational inequality. Express your answer using interval notation. 4x 1. x²-4 I- -3 2.…

A: 1.xϵ⟨−2,0]∪⟨2,∞⟩ 2.xϵ⟨−2,3] 3.xϵ⟨2,4⟩   Explanation:

Q: Precalc

A: +−31​,+−32​,+−35​,+−310​+1,−1,+2,−2,+5,−5,+10,−10Explanation:If you have any problem let me know…

Q: find the limit

A: The objective of this question is to find the limit of the expression sin(x) - sin(x)cos(x) + 2 as x…

Q: You borrow $300,000.00 that charges you 5.1% interest, compounded monthly. You will make payments…

A:

Q: Problem #4: Suppose that the function f(x) is defined as f(x) = 7 sin²x-3 sin x cos x + 2 cos² (2x)…

A: Step 1:Step 2:

Q: This exercise is based on the following table, which lists interest rates on long-term investments…

A: The objective of this question is to find out how long it will take for an investment of $9,000 to…

Q: Determine whether the sequence converges or diverges, if it converges, find the limit. √1+4n2/1+n2

A:

Q: 4  For the function shown in the​ graph, give the​ interval(s) where the rate of change of​ f(x)…

A: Step 1:a) The rate of change is positive on the interval where the slope is increasing. From the…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x׳, 0 ≤x≤ 5…

A:

Q: Simplify 7log7(49】

A: The objective of the question is to simplify the given logarithmic expression 7*log7(49).

Q: Q3 C7

A: Step 1: Use the table of values to compare the temperature of the object T to time t where its…

Q: If f(x) = 2. e*, find f'(1).

A: given function

Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A:

Q: Consider the integral functional I(u = [ £{√1 √1+ [u'(x)]² dx Solve the minimization problem…

A: Step 1: Set up the Euler-Lagrange equation. The Lagrangian function is: L(x,u,u′)=1+[u′(x)]2​ The…

Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $10 the…

A: Given points: (10, 19000) and (9, 23000)Calculate slope m: (23000−19000)​/9-10=−4000Use slope m and…

Q: Consider the function f(x)=2x^3-12x^2-30x+2 on the interval [-6,10]. Find the average or mean slope…

A: The answer is given below.Explanation:

Q: Precalculus Question (8)

A: a. (0,B2)b. (0,FC​)Explanation:For both numbers, the y - intercept is a point at the given when x=0.…

Q: For the function graphed below, estimate the point of greatest curvature -4-3-2 x =

A: Step 1: Step 2:We can visually inspect the graph to estimate the point of greatest curvature…

Q: A tourist drops a stone off a cliff and it falls into an ocean. Let s(t) represent the position of…

A: Given that a tourist drops a stone off a cliff and it falls into an ocean.Let s(t) represent the…

Q: Use determinants to find the area of the triangle with vertices (0,0), (3, 5) and (2, -1) in R².

A:

Q: Find an equation of the line tangent to the graph of f(x)=(5x+4) (6x-5) at the point (1,9). The…

A: The given function equation is

Q: 1 Use the fact that the derivative of the function g(x)=√x is g'(x) = - to find the equation of the…

A: Answer: y=x/16 +4=0.0625x+4Explanation:Step 1:

Q: Show all proper work this is the curve sketching unit in calculus Both a,b,c are part of 1 question

A: Step 1: Step 2: Step 3:

Q: Find the derivative of each function include all steps

A: Question explained below : Explanation:ANSWER : ( e ) ​​   ANSWER : ( f ) ​​   ANSWER : ( g ) ​​…

Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A: d) f(x)=x5e) f(x)= x3(x-2)(x+3)f) f(x)=x3

Q: Precalc Question 2

A: The ratio of the leading terms is 2xIt indicates that the graph of the function will have a slant…

Q: Find all local extrema using the second derivative test. Show all work for full credit. Make sure to…

A: 1. f(x)=9x5−9x3f(x) has a local minimum at x=53​​​​ because f′′(x)>0.f(x) has a local maximum at…

Q: Q4 C7

A:

Q: Sketch the graph of a function g with the property that g'(x) 0 for x > -3. Choose the correct…

A: The objective of the question is to identify the correct graph of a function g based on the…

Q: Find the critical numbers of the function f(x)=12x^5+75x^4-80x^3+2 and classify them using a graph.

A: we are to find the critical points of the function f(x) and classify them using the graph.

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Step 1:

Q: 2. ²x³√9+x²dx

A: Step 1:Step 2: Step 3: Step 4:

Q: PLS DO PART D ASAP

A: Answer:  1,−1,−1Explanation:Step 1:Step 2:Step 3: In last column three entries are 1,−1,−1

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation:

Q: 6. A lamina that occupies the region D bounded by x = 1-y² and the coordinate axes in the first…

A: (a). The mass of the lamina is 41​.(b). The center of mass of lamina is given…

Q: Find the first four terms of the Taylor series for the function 2 tan(x) about x = П 4

A:

Q: The gradient function of a curve is f'(x) = 2kx +7. Given that f(0) = 6 and f(2) = 8, find the value…

A: The gradient of the function is given byThe initial conditions areTo determine: The value of .

Q: Which of the following curves, given by the parametric equations, pass through the point by the…

A: To determine the curves given by the following parametric equations,that pass through the point by…

Q: 2) Evaluate the following definte integrals: a) 4√-3V

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

Q: Find volume V. Use cylindrical or spherical coordinates.

A: Final SolutionSo, the volume V of the solid region inside the cone z=r and between the planes z=1…

Q: Find the average rate of change for the given function. f(x)=√2x+3; between x=3 and x = 11 What…

A:

Q: Find the error in the following work. d 2x+5 2 dx x². - 1 (2x+5)(2x)-(x²-1)2 (x²-1)² 4x²+10x-2x²+2 2…

A:

Q: HELP ASAP

A: Answer: We calculated that    ∫04​∫16−y2​64−y2​​7+x2+y21​dxdy+∫48​∫064−y2​​7+x2+y21​dxdy…

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A:

Q: (6) Find дл ду : ye+sin(2)=423 (8 points)

A: Explanation is given below:Explanation:

Q: Use the quotient rule to find the derivative of the function. dy dx 2x+1 y=-

A:

Q: Use a graph to find a number 8 such that if | - π 4 < then tan(x) - 1| < 0.2.

A: Step 1:

Q: Let lim f(x) = 4. Use the limit rules to find the following limit. x+7 lim √f(x) x-7 lim √f(x) x+7…

A: Step 1: Step 2: Step 3: Step 4: