f(x) = X x² +1

Q: Find the volume V of the solid obtained by rotating the region bounded by the curves y = 6/x, x = 1,…

A:

Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-1). x -2 -1 f(x)…

A: Consider the table

Q: Write an equation for the function graphed below -6 -5 -4 -3 y = -2 2 + 3 4 5 Q

A:

Q: 1: Evaluate the following integrals: 1. fff e ²x+3y + 4z dv 0≤x≤ ln2 2. √ √ √ √1+y³dydx 0 ≤ y ≤ In3…

A:

Q: Use the two-path test to prove that the following limit does not exist. lim xxy)-(0.0) y +x y-2x…

A:

Q: Use the Riemann sum midpoint rule to calculate the distance John run in 5 seconds

A: We need to use Reimann sum.

Q: lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

A: According to question,Given limit,limx→1 x3+5x2-x-5x2+4x-5

Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since, you have asked a question with multiple sub parts, as per company guidelines we will solve…

Q: 2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated…

A: Given,

Q: ex \e=-2) (e²+1) dx

A: To find integral

Q: The graph of the derivative f' of a function f is shown. ہتا 2 y = f(x) X 6 (a) On what intervals is…

A: If a function f has a local maximum or local minimum at x= k  then f'(k)=0 A function f is…

Q: roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A:

Q: Change the order of integration. [( f(x,y)dx)dy. 0

A:

Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

A:

Q: Integrate sinx given integral by 20 2 w5 x= sing the using sin: 1 + si

A:

Q: Suppose that f(x) 13x - 3 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Here we have to apply the application of differentiation.

Q: Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6-…

A:

Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

Q: Let f(x)=12x^2−7x−11 How many critical points does this function have?   How many inflection…

A: Given query is to find critical point and inflection points.

Q: Approximate the sum of the series correct to four decimal places. -0.2212 n=1 (-1)" 4"n!

A:

Q: This function: 24 4 -4 -2 0 -2 -4 has a jump disco has an infinite di

A:

Q: - y² = 4 in the first quadrant.

A:

Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

A:

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

A:

Q: Assume that the fucntion f is continuous for all x. If f´ (3) = 0 and f´´(3) > 0, then the point (3,…

A:

Q: Evaluate lim x-0 e-1 X

A: We have to slove above limit problem

Q: Derivatives exponentials

A:

Q: a. 1 e+e0.5x te e2x So¹ dx

A: D=∫01ex+e0.5xe2xdx∫exdx=ex+c

Q: B: Find the Inverse Laplace transform for the following functions: 2-5s (s-6) (s² +11) a) F(s) = (b)…

A:

Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

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

Q: 2. Let g(x) = arctan(x²) — ln(1 + x¹). Find the equation of the line tangent to y = g(x) at x = 1.…

A: Given:- gx=arctanx2-ln1+x4

Q: 2. A population y grows according to the equation dy the population doubles every 21 years, then…

A:

Q: Translate the given matrix equations into a system of linear equations. (Enter your answers as a…

A: Given, 01911-500xyzw = -25

Q: The trough in the figure is to be made to the dimensions shown. Only the angle can be varied. What…

A: Figure :

Q: Find the critical points and the intervals on which the function f(x) = 2x² - 5x -5 is increasing or…

A: Given function f( x ) = 2x2 - 5x - 5

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Find x² - 4x equation of the plane tangent to: z = 4e" at (8,16,4)

A:

Q: I only need in text so i can copy, What function is the inverse of the exponential function…

A:

Q: A certain magical substance that is used to make solid magical spheres costs $600 per cubic foot.…

A: As we know that Area of sphere( A ) = 4πr2Volume of sphere( V ) = 43πr3

Q: Find dy dx using implicit differentiation. A 6x² +9y 8x +9y² Hint: First clear the denominator to…

A:

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: since it is given that, Sodium chlorate crystals are easy to grow in the shape of cubes by allowing…

Q: Use the chain rule to find əz əs əz at = II - Z = tan дz əs and дz at u = 9s + 5t, v = 5s - 9t

A:

Q: The number of bacteria in a flask grows according to the differential equation dy/dt=0.09y In this…

A: The given data is: dydt=0.09y

Q: 2. You are under contract to design a storage building with a square base and a volume of 14,000…

A:

Q: ke for this investment to reach a value of $11,800.00?

A: Given query is to find the investment to grow 11800.00

Q: If = {(x, y) | x² + y² ≤ 4, x>0} then: 16₂ (3x + 5y) dA= Question Help: Video

A: Here we have to find the double integral.

Q: Let be a quadrant II angle with sin(0) = = Find sin 0 2 √89 10

A:

Q: 1. Find the point (s) at which the following parametric curve x = t², = t³ - 9t intersects itself.…

A:

Q: Evaluate the integral. 9 y4 SS 4 y 3 y X dxdy

A: