Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7 √49-x² S S (x² + y²) dy dx 0 Change the Cartesian integral into an equivalent polar integral. 7 √49-x² S S (x² + y²) dy dx= SSD dr de 0 0 00

Q: How many possible real negative zeros are there for the function f(x) = 4x4 - 5x³+x² - 4x +1? A 0 B…

A: The given function is: fx=4x4-5x3+x2-4x+1 To find: How many possible real negative zeros are there…

Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.

Q: Find u. (vx w). eBook u = (5, 5, 5) = (4,2,0) w = (0, 0, 2) v =

A:

Q: c) Derivatives of trigonometric function and inverse trigonometric functions 6) Differen...... 7)…

A:

Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve.…

A:

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 20 = 0. The extrema are…

A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.

Q: 3. Determine whether Rolle's Theorem can be applied to Ax) = -x² + 10x on the closed interval…

A:

Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

A:

Q: 3 Find the open intervals where the function f(x) = -2x³ + 6x² +171x-2 is concave upward or concave…

A: given function is :-f(x) = -2x3+6x2+171x-2then we have to find point of inflection and concavity…

Q: If g(x)= xf(x), where f(2)= 7 and f'(2) = -2, find an equation of the tangent line to the graph of g…

A:

Q: Given that log(5) ≈ 0.6990 and log(2) ≈ 0.6990 and log(2) ≈ 0.3010, find the value of the logarithm.…

A: The given data is: log5≈0.6990log2≈0.3010  Find the value of the logarithm log52

Q: ​You've decided to sell sweatshirts for the upcoming game. You project that at a price of ​$33.32…

A:

Q: Let D be the region under the curve y = In √ and above the x-axis = e. Find the volume of the region…

A:

Q: Find y" by implicit differentiation. x² +9y² = 9 y" =

A:

Q: For the following function, find (a) the critical numbers, (b) the open intervals where the function…

A:

Q: (a) Find an equation z = x² - y², of the tangent plane to the surface at the given point. (3, 2, 5)

A:

Q: Complete the steps below to show that the limit exists by rationalizing with conjugates. √x-10 100 x…

A:

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

A:

Q: f(-1)=0 and g(-1)=-1  a. (f+g)(-1), b. (f-g)(-1), c. (fg)(-1), d. (f/g)(-1)

A: Given query is to find indicated function operations.

Q: Find dv/dx by implicit differentiation, given that -x^2/v^2-cos(3v)=-8

A:

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

Q: Find the limit. lim (2 sin x - 1) x→0 lim (2 sin x-1)= (Type an integer | (Type an X-0 integer or a…

A: Given query is to find indicated limit.

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.16t On January 1, 2019, the value of the equipment was $14,550.

Q: The sides of a square baseball diamond are 90 feet long. A player is between second and third base,…

A: The sides of a square baseball diamond are 90 feet long. A player is between second and third…

Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: Sketch the region of integration and change the order of integration. *3 /In(x) [³ /0 f(x, y) dy dx…

A:

Q: Graph the curve, y=x²/3 + 1 1/3 X Explain the relationship between the curve's formula and the graph

A:

Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A:

Q: Derive the volume formula of the cone by integration. In doing so, (a) find the equation of the line…

A:

Q: 112. Gaussians An important function in statistics is the Gaussian (or normal distribution, or…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² - 4xy+3y² -…

A:

Q: Given Cost and Price​ (demand) functions C(q)=110q+40000 and p(q)=−2.3q+950​, what is the marginal…

A: Given Cost and price function:- Cq=110q+40,000pq=-2.3q+950

Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-2). x f(x) g(x)…

A: Use the chain rule of derivative and put the value from the given table.

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In each of the following, find the ellipse’s eccentricity, foci and directrices. i. 16x2+ 25y2=400…

A: Answer: As per the guidelines we can solve only first questions, so post other questions separately,…

Q: Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

A: Given query is to find the limit.

Q: (a) What is the equation of the plane passing through the points (2,0,0), (0,1,0), and (0,0,2)? (b)…

A: Given that plane passing trough the points (2,0,0),(0,1,0) and (0,0,2)

Q: Use the graph below to determine whether the statements about the function y = f(x) are true or…

A:

Q: Find a set of parametric equations for the tangent line to the curve z = x² + y², z = 36 -y, (6, -1,…

A:

Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given: The cost function ( in dollarss) C(x)=0.13x²-0.00006x³ The revenue function (in dollars)…

Q: Use spherical coordinates to integrate f(x, y, z) = √√x² + y² + z² over the solid E between the…

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²₁…

A: Given query is to find direction derivative.

Q: Use Cramer's rule to solve the system of equations 2x1 + x2-3x3 21-2x2 + x3 3x1 +4x22x3 = 1 = 0 =…

A:

Q: Use the function below to answer the following questions g(x)= ex-6 X (a) Use transformations of the…

A:

Q: 1. Let f: R→ R such that f(x) = -x ifa is rational and f(x) = 2x+3 if x is irrational. Prove that f…

A:

Q: Water, at the rate of 12 cubic feet per minute, is pouring into a leaky container whose shape is a…

A:

Q: Prove by strong induction that root of 2 is irrational.

A:

Q: Determine the set of points at which the function is continuous. xy f(x, y) = x² + xy + y² 0 # o…

A: Given function is f(x,y)=xyx2+xy+y2if (x,y)≠(0,0)0if (x,y)=(0,0)

Q: x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and…

A: Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x-12)5 f'(x) =…

A: