:- 3) y cos 20 2 1 3 a: b: Period: C: d: Phase Shift: 21/3 downi

Q: 2pq If sin A = ,where A is an acute p2+q² • angle of a right triangle, what is sec A? p² + q? p² +…

A:

Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

Q: (8x3 + 2x) dx = 2x4 + x² Select one: O True O False (sinx/cos-x)dx = sec x + C Select one: O True O…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: Given the function below find the value of f(-4). * if x -5 2x² + 1 f(x) = O -67/16 None of these O…

A:

Q: tion Using Integration by parts, evaluate: S x³Vx3 + 1dx Your ancwor

A:

Q: Find the maximum value of the function f(x) = x³ -9x2 + 15x - 5. Answer: Find the value of x for…

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: 345 cos dx 1-cos24x+sin? 4x

A:

Q: 4. [V40-4v-v² dv

A: Please see the answer below.

Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

A:

Q: dy J 1+y+1

A:

Q: (3 - 2 3 – 4cos dx

A: The given integration,     ∫3-4cosxπ2 dx

Q: Find the dot product of v and u and determine if the vectors are orthogonal. a. v = , u = The…

A: There is more than 1 question, as per the Q&A guidelines we are answering the 1st question. If…

Q: The region bounded by the given curves is rotated about the Specified cukis. Sketch the region and…

A:

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

A:

Q: nsider the following. u = (-9, -3, -7), v = (-4, –5, –1) (a) Find the projection of u onto v. 58 42…

A: Given : u=<-9,-3,-7> and v=<-4,-5,-1>.

Q: Let the region R be the area enclosed by the function f (x) = e® + 2 and g(x) = 6x + 3. Write an…

A: Given: f(x) = ex +2,    g(x)=6x+3

Q: 4. [V40-4v-v² dv

A:

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Solved below

Q: t/3 cos e sin 20 de T/6

A:

Q: student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

A: Given query is to find the maximum height.

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A:

Q: The shaded region shown below is bounded by the functions f(x) = -4x? + 10 and g(x) = x + 6 and the…

A: area

Q: Consider the figures below. (1) (2) 5- 4. Use the rectangles in each graph to approximate the area…

A: Solution is here

Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Explained below

Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

A:

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

A:

Q: 3dt 1. (2t+8) Vt+1

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 13, –10) Vw(5, 13, -10)…

A:

Q: Exact ODE y'sin2nx-nycos 2rx

A:

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

A:

Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A:

Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x° -…

A: Here we have to factorize the given cubic equation.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A:

Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: dx V3+2x-x2 10.

A:

Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

A:

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: We need to find orthogonal trajectory.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

A:

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

A:

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A:

Q: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: Use cylindrical coordinates to calculate the triple integral w S(x, y, z) dV for the function f(x,…

A: To evaluate: ∫∫∫wf(x,y,z)dV=∫∫∫1784zx2+y2dV Here, the region of integration is x2+y2≤z≤28-x2+y2…