Find the slope of the curve x3 = (y - x2)2 at (1,2).

Q: Use simple area formulas from geometry to find the area function A(x) that gives the area between…

A: Given that: f(x)=20x+20

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: 2. Evaluate = I= √²² + y² + 2² av where E is the region enclosed by the the sphere x² + y² + 2² =z.…

A:

Q: 3t² + t 3 t→→∞ t³ - 4t + 1 11. lim r - p³ r→∞ 2 - r² + 3r³ 13. lim

A: see below the answer and explanation

Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

A:

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

A:

Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

A:

Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

A:

Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: For what values of the numbers a and b does the function f(x) axebr² have the maximum value f(1) =…

A:

Q: 4. Let (n) be an increasing sequence of real numbers. Assume, furthermore, that (x₂) has a…

A:

Q: Part 1. Sint / Part 2. Cost a) 13 b) None () / 0) F) Part 3. tan t (a) डे उ F) 0 b) I C) 9 d) none h…

A:

Q: Obtain the general solution by the indicated technique: 1.2 (3x-1)y'=6y-10(3x-1)³ ; linear equation…

A:

Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 1, - 2). Vf(-1, -2)

A:

Q: The limit lim X-8 √9x² – 1 3x − 6 Select one: O True O False = 1 Ignore "Give your reasons" below.…

A:

Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

A:

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for =…

A:

Q: Use a double integral to find the area of the region bounded by all leaves of the rose r = 5 sin 50.…

A: The given curve is: r=5 sin5θ

Q: Find f′(x) and simplify.   f(x)=6x5 (x 4 − 2)  F'(x)=.......?

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: The given region is:x=33y ,      x=0    and     y=2

Q: 1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined…

A:

Q: The total cost (in dollars) of producing a coffee machines is C(x) = 2400 + 60x -0.2x². (A) Find the…

A:

Q: Show that Rolle's Theorem can be applied to the following functions on the closed interval [a,b],…

A: According to Rolle's theorem , if a function f is continuous on the closed interval [a, b]…

Q: Find the following using the table below. X 1 2 3 4 f(x) 13 2 4 f'(x) 1 3 4 2 g(x) 2 4 3 1 g'(x) 2 3…

A:

Q: and algebraically why the following two transformations are different.. y = 3f (²x-1) +5 y = 3f…

A: The function is given as   y = 3f14x-1+5     and     y = 3f14(x-1)+5

Q: (3) Use the Comparison Test to determine if the series is convergent. ∞ sin n n² + 2 n=0

A:

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

Q: ) Obtain the differential equation of the family of plane curve described and sketch at least 5…

A: We have to find the differential equation of the family of plane curves, that is "straight lines…

Q: Evaluate the integral 9 3 12 SS S 00 4y 9 3 12 SSS 0 0 4y (Type an exact answer.) 3 cos (x²) 4√2 3…

A:

Q: (1) Use the Limit Comparison Test to determine if the series is convergent. η3 1 Σ+2 n=3 .

A:

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

A:

Q: Problem 3. evaluating them. (a) 1₁ 1 (x - 3)³/2 dx Determine whether each integral is convergent or…

A: Note : I think question c is incorrectly printed

Q: answer incorrect

A:

Q: Find the value of f'(9) if f(t) = 10√t - 7 √t

A: Here is the solution:

Q: Question 1 [ a) [ b). Consider the function f(x)=x²+3x+c Find the domain of f(x) in terms of c on…

A:

Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

A:

Q: In the accompanying diagram, right triangles AOB and COD are inscribed in circle O, which has a…

A: Topic- Area of shaded region We are given  Right triangles AOB and COD are inscribed in circle O ,…

Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

A:

Q: Evaluate the definite integrals (show your solutions) sẽ có cos³ 3xsin3xdx

A:

Q: 1. Evaluate the following integrals: b. I sin(4x) cos² (3x) dx

A:

Q: Let Ġ(x, y) = (x², y). Calculate the flux of G across the line segment from (0, 0) to (1, − 2).

A:

Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

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

Q: The matrices A, B and C are given by and D=AB - 2C. Give the value of d 2,3. a) O-12 b) O-13 c) O-11…

A:

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: The given function is; f(x,y,z)=x2yz-xyz3.

Q: 1. What does it mean to say that a function is periodic?

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the funct 8 + sec(6t) dt…

A:

Q: 1. Find the derivatives of the following functions: a) f(x) = 2x³ + e²x b) f(x) = ln (2x - 1)5

A:

Q: Approximate the area under the curve graphed below from x = 2 to x = 5 using a Right Endpoint…

A:

Q: Evaluate each expression using the graphs of y=f(x) and y=g(x) shown below. a) (gof)(6) b) (gof)(0)…

A: To find (fog)(a) = f(g(a)), first find g(a) . Then, put the value of g(a) in f(g(a)) . Let g(a) = b…