x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

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Q: Using u-substitution, the integral f(x)dx reduces to a new integral f g(u)du. If g(u) : u+1 evaluate...

A: ∫f(x)dx = x + ln(x-1) +c we have to find f(x) so we have to derivate the ∫f(x)dx so f(x) = 1 + 1/(x-...

Q: Solve the following differential equation xy = y(Iny- Inx) Select one: O a. In(2)- L: E CX O b. In(2...

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Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer ...

A: Given query is to find the correct option for partial derivatives.

Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

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Q: Determine whether the series converges. 2 +4 2 +9 O The series converges. O The series diverges.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 cos(0) – 1 OP

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: 3 find the limit if it exists .If it do esn't exist, explain why. lim 13+x| X-> -3 2(34+X)

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Q: Find the point on the curve y = 23/2 for which the tangent line to the curve is perpendicular to the...

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Q: e solution to fe2* sec?(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k.

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

Q: nsider the following function. (x) = 2* -9 (a) Find the critical numbers of f. (Enter your answers a...

A: Topic:- calculus

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: . Graph (2) on the same coordinate axes, labeling the points corresponding to those you labeled on t...

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Q: solve for x the equation 4y = 3x2 + 2x – - 5

A: The given equation,     4y=3x2+2x-5

Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand? co...

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Q: Directions: Determine which graphs represent a function and then drag each into the appropriate colu...

A: Topic = Functions

Q: landscaping

A: We will find a linear equation. 

Q: Evaluating Definite Integrals Use the results of Equations (2) and (4) to evaluate the integrals in ...

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Q: Solve the following differential equation (1+x)y' – y=0 Select one: O a. Inlyl=In|1-2xl)+c O b. Inly...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k Σ 2ln k k=2 ...

A: We know about conditionally convergent when series absolutely divergent.

Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: k If u = f (x), then f dx x4+2x2+1 +C for some constant k . Compute kf (1). x2+1 %3D

A: We have to find kf(1).

Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f ():-- 5/7 A 2 5/...

A: topic - functions and indefinite integral

Q: Using the limit comparison test the appropriate b, that is used to make the series E In(n) converges...

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Q: Solve using the U-Technique Question 8 Given: S . There is a function f (x) such that when u = -x³, ...

A: Given: ∫2f(x)dxe-x3   , u=-x3

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Solve the system. 2х + 6у - z %3D 6 4х - Зу + 5z 3D - 10 8х + 9y - 2z 3 12 The solution set is {(CI)...

A: We have to solve system of equation

Q: tan' sec? 그dr 26. 28. 7 dr - 10

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Q: A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, pouring a brine solution ...

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Q: m2+2m Consider f dm. If we let u = m + 1, what will be the resulting integral as a function of u? m+...

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Q: 2. Find five arithmetic means between 12 and 21-6.

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Q: メ+

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Q: View Policies Current Attempt in Progress A company operates two plants which manufacture the same i...

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Q: (x – h)? + y? = r² O y " +(y')² + 1 = 0 O y" +(y')² = 0

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Q: Find the standard (slopc-intcrcept form) cquation of the tangent linc to the following functions at ...

A: find equation of tangent line please like if your problem resolve

Q: IUS IIIteTval of Converger Approximate In(0.5) using the first 5 terms using the expansion.

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Q: Which of the following planes is parallel to the plane За — 2у + z — 3? - 3x 2y + 9 - 6х — 4у + 22 —...

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Q: Evaluate the limit. If dne, explain. (2cos(4x² + 7) + [6x² + 4] lim X→+∞ 4x2 + 7

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Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses.

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Q: der the following function. (x) = 9 - |x - 1| (a) Find the critical numbers of f. (Enter your answer...

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Q: f(x,y) = 2. 2 Vx +y ... Find the limit as (x,y)→(0,0) along the path y = x for x> 0. (Type an exact ...

A: We have to find the limit along the path y=x.

Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: .......

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Q: solve the equation over the interval [0,2\pi ) ). (5sin(2x) 5cos(2x))^2=25 x=__________

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Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN ...

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Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)