hy is the derivative of -1/x^2 = 2x-3 and not -2x-3?

Q: Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

A:

Q: 6. Find the surface ares for the part of the graph f(x, y) = ²-3ay+2 that lies above the triangular…

A:

Q: Sales of the Average sales = Submit Answer 672 arning Calculus tutorial software packages are…

A: Given f( t ) =  t2t3 + 6 as we know that average of f( t ) = ∫t1t2f( t )dtgiven t1 = 3  &  t2 =…

Q: 12 IF ST ² A If f(x) dx = 14, then compute the value of the following definite integral. √3 16 f(3x)…

A:

Q: 2. y = -2 cos(2x)

A: To sketch the graph for one period and to to determine the amplitude and period for the following…

Q: Find the exact value of each expression. (a) e2 In(4) (b) e-4 In(2) (c) eln(In(e))

A: We can answer all the three questions in the below steps.

Q: 1. Determine if the Mean Value Theorem can be applied to the following function on the the given…

A:

Q: b)y= 4 x-2 ,(6,1) c)f(x)=√√x+4,x=5

A:

Q: Find the Maclaurin series for f(x) = cos(19x). cos(19x) = Σ n0

A: As we know that: Maclaurin series for the cosx centered at x=0 is given by f(x)=∑k=0∞(-1)kx2k(2k)!…

Q: Find the arc length of the following curve on the given interval. R|N JU x = 3 sint - 3t cost, y = 3…

A:

Q: Find the exact value of each expression. (Enter your answers in radians.) sin (sin (3x)) 4 (a)…

A:

Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

A:

Q: Use the Fundamental Theorem of Calculus to evalue the definite integral D= D= BSD 1 7 x100 NOTE: Use…

A:

Q: (a) Estimate the area under the graph of the function f(x) = endpoints. Round your answer to four…

A: Let's find area under the curve  by using right and left endpoints.

Q: 25. Show whether the following function is continuous et x = 0. 4x-9if x>-3 3x+6 if xs-3 f(x)=

A:

Q: Bruh i paid $8 for a wrong answer gtfo.

A:

Q: Find the surface area of the rectangular solid with with length 1 = 9.3 m, width w = 5.4 m, and…

A: Solve for the surface area of the given figure

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Write the sum using sigma notation: A 1+2+3 +4 + ··· + 84 = Σ Β, where B, n=1 A = B =

A:

Q: Consider the following. f(x) = x³ + 9, g(x) = √√√x (a) Find the function (fog)(x). (fog)(x) = Find…

A:

Q: Find a non-constant function f(x)f(x) such that its average value over the interval [1,5][1,5] is…

A: The answer is given below:

Q: On the highway, if you're traveling 65 mph, you travel about A. 1/2 mile B. 20 feet C. 50 feet D.…

A:

Q: Find the value of x lim x0 √4+3x - 2 1. limit 2. limit 3. limit = 4. limit 5. limit || 6. limit = =…

A:

Q: A graphing calculator is recommended. Use the graphical method to find all solutions of the system…

A: Given  x29+y218=1 and y=-x2+6x-6

Q: a Ab B Area A = 1,348 Area B = 2,385 a Area C = 3,052 Area D 1,622 C C/ D d X f(x) dx = (Simplify…

A: Let's find given integral value from graph.

Q: (a) Solve for v(t) if the raindrop falls from rest. (2) v(t) = (b) This model assumes that the rate…

A: Basic information:  ddxaxn=anxn-1∫axndx=axn+1n+1 + Cρ is a density of the rain drop.…

Q: 7 Given the graph to the right, find f(x)dx ff(x)dx 0 7 [f(x)dx=₁ 0 10- 8- 6- 4- 2- 0- 0 N. 2 4 6…

A: We have to find the definite integral.

Q: A sports ball has a diameter of 11 cm. Find the volume of the ball. Round your answer to 2 decimal…

A:

Q: 2. Find the area of the region bounded by the curves y = f(x)=x²-3x and y = g(x) = -2² +9

A: we need to find the area bounded by the curves

Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: volume of storagr bin is volume of cylindwe +volume of cone volume of cylindwe =πr2hvolume of cone…

Q: Consider the indefinite integral fz6 · Væ² + 1 dr: 5 7 . This can be transformed into a basic…

A: To solve the following integration problem

Q: For the demand function given, find the elasticity at the given price and state whether the demand…

A: q=800-5x Put x=83 q=800-5*83 q=800-415 q=385 dq/dx=d(800-5x)/dx  dq/dx=-5

Q: An airplane flies due east from point A to point B, a distance of 200 miles. The plane n turns on a…

A: Given query is to find the distance between A and C.

Q: Consider the following function. f(x) = x² - 8x + 7 (a) Find the critical numbers of f, if any.…

A: Given a function f(x)

Q: Find the net change in velocity over [2,7] of an object with the acceleration a(t) = 20t – 4t² (in…

A:

Q: -3t Express x = e ³t y = 2e2t in the form y = f(x) by eliminating the parameter. : y = ||

A: Given x=e-3t and y=2e2t

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 818 00 n…

A: Given series:- ∑n=1∞6n+17n+1

Q: A tank contains 500 m³ of solution with 12 kg of dissolved chloride. A water enters the tank at rate…

A: Let's find amount of salt in the tank after 5 minutes.

Q: Determine if the limit 7 x+1 lim x-0 x -7 exists, and if it does, find its value. 1. limit = 2.…

A: We can find the limit in the below steps.

Q: Calculate (+4) (-2) – (-2)

A: Given query is to find the value of the expression.

Q: (6399 #6 p. 2 x² + 1 y =

A:

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: 1. Evaluate the double integral (2² IMO (2²+2y) dA where D is the region bounded by y = z, y = r³,…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Compute the definite integral (Hint: You will need to use integration by parts twice). fe 0 -X е cos…

A: ∫u.vdx=u∫vdx-∫dudx∫vdxdx∫cosxdx=sinx+c∫sinxdx=-cosx+c

Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

A: To evaluate the given indefinite integral.

Q: Use the ratio test to determine whether m an+1 an n=21 = lim n-→∞0 9n Find the ratio of successive…

A: Given query is to apply ratio test.

Q: The second number is the reciprocal of the first number and the sum is a minimum, find 2 positive…

A: Given that the second number is the reciprocal of the first number and thesum is a minimum. Our Aim…

Q: Estimate the area under the graph of the function f(x)=√x+ 5 from z = = -3 to z = 5 using a Riemann…

A: Area under f(x) from  x=a to x=b using Riemann sum with n subintervals and midpoints is given by,…