5. If x = 5cis(2.945)and y = cis( – 0.755) find xy³. Leave your answer in polar form. Note the argument must be in radians between %3D - - T and t.

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Find y' given xe*y – x sin- y = In(xy).

A: Given,            xexy-xsin-1y=lnxyTo find : y'

Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

Q: dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

A:

Q: mlar

A:

Q: Father will fence a circular garden whose radius is 3.5m/ How many meters of fencing material will…

A: Father will fence a circular garden whose radius is 3.5m

Q: Q16. Consider the function z = f(x, y) = x² + 16y? + 4. (a) What is the domain and range of ƒ ?…

A: Given function f(x,y)=x2+16y2+4 As per our guideline we supposed to answer only first three subparts

Q: The graph ofr sec 0 = 4 is the graph of a circle. True False

A:

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

A:

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: Find the radius and interval of convergence, R, of the series. E-1 n!

A: Answer is in below step.

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: Section 1.9 In Exercises 1-3, find the general solution of the differential equation specified. dy…

A: First order differential equation : Consider the first order differential equation…

Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: Find a power series representation for the function. (Center your power series representation at =…

A:

Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: Consider the indefinite integral 26 dx: (x7 + 6)"

A:

Q: 1-2 1 A system of equations is given. (a) Determine whether the system is linear or nonlinear. (b)…

A:

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

A:

Q: Solve the system of equations. x+2y = 0 8y = - 4x Solve the first equation for x. x +2y = 0 x = y

A: x+2y = 0 8y = -4x 2y = -x put this in equation  so the the equation has infinite solution    x + 2y…

Q: Find an equation of the plane. The plane through the point (2, -8, -1) and parallel to the plane 7x…

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x= 2. X-6 f(x) = 5x - 1

A:

Q: (x² (а3 — 2)da 4x +

A:

Q: In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

A:

Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

A:

Q: dy = 2 x cos ( 3x² ) and y(0) = 1. Suppose d x What is y(1)?

A:

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

A:

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

A:

Q: Find the radius of convergence of the series 2" n=1 O 1/2 O 2 O1 O infinity

A: Explanation of the answer is as follows

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

A:

Q: If the region R is bounded between two circles x2 +y? = 1 and x²+y? = 16 , then we have: J| x²+y?)…

A: Let's find.

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

A:

Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

A:

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

A:

Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

A:

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: 1. List the intervals where f is increasing. 2. List the intervals where f is decreasing. 3. List…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 5 3 + s2-8 s2+ 3.

A:

Q: Dix) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: 1. Find the maximum value of r+y subject to the constraint r+ y = 18.

A:

Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: equation for the hyperbola with foci (0, ±5) and with asymptotes y = +x. ind an

A:

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1…

A: Let's find.

Q: Dx) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and…

A:

Q: Find f'(÷) for f(x) = 2 sin z cos x

A: