2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In X+3 +C X+3 In + C |x-2 |(x – 2)³ +C - x+3

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: We need to use mid point rule to approximate integral.

Q: Differentiate the function:  k(x) = 4 ln (x) + 2 cos x + x^2 k'(x) =

A: k(x)=4ln(x)+2cosx+x2Differentiate with respect to xk'(x)=(4×1x)+2-sinx+2xk'(x)=4x-2sinx+2x

Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: (1) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

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Q: Describe the surface. x² + z? = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A: The given surface is: x2+z2=7

Q: Which of the following functions is the derivative of „sin(x) f(x) : = X sin(x) cos(x) xsin(x)…

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Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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Q: Find the indicated derivative in each using three-step rule. 1) f(x) = x² – 4x +3; f'(x)

A: Solution: As per our guidelines, we are supposed to answer only? One question ( if there are…

Q: Find the angle between the vectors u = - 4i + 6j and v = 4i - 3j - 5k. The angle between the vectors…

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Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

A: We have to solve the given integration

Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

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Q: 20 Q41. Term independent of x in expansion of is? бх3

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Q: (æ² + 1)² x²ez² 2(x2 + 1) + C x²ez? 2(z² + 1) -ze +C O A Ов 1 2(x2 + 1) cea 2 2(2² + 1) - 2" +C…

A: The given integral is: I=∫x3ex2(x2+1)2dx=∫x2ex2(x2+1)2x dx Substitute x2=u⇒2xdx=du⇒xdx=du2 So,…

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

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Q: Veluate lesing Sub methad s x(xZ-3)" dX 1

A: Given query is to find the integral using substitution method.

Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

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Q: 104. x + 4xy – y³ = 6

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Q: Strontiun1-90 nas d nall-lire of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for…

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Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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Q: Given t = x + ex, find dx/dt

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Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: S(3x2 + 4x – 5) dx

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of y. 30) y = In (sinh 5x) D . sinh 5x A) coth 5x B) 5 csch 5x C) 5 coth 5x

A: We can answer the question as below.

Q: x = 2y X=y-8 -12 12 -8-

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Q: For the function y In (6x) on the interval [1, 9], answer the following questions. (a) Give the…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 12t – t2 (a) Find the…

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Q: Eveluate intelgal 2.

A: Given query is to find the integral.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j+…

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Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

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Q: Fird the area lounded by the curve: a) y=X ° and y =2x+3 aJCurve accurately drown with immportant…

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Q: In7 Change the Cartesian integral dx dy into an equivalent polar integral. Then evaluate the polar…

A: Put x=rcosthetha and y=rsinthetha

Q: Find all values of A E C such that A(1+2i, 5+4i) = (3+2i, 6-1)

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Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

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Q: In solving the antiderivative of f(x) = cos(x) 1- cos(x) by miscellaneous substitution, the…

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Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: Find f'(x) and f'(C). Function Value of c x2 - 4 f(x) = C = 1 x-8 f'(x) %3D f'(c) %3D

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Q: Let v = (-2, 3, 4) Calculate: v xi= ( || v xj= ( v x k = (

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x2 (in…

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Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

A: answer is in next step

Q: Find any critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = x6…

A: For critical numbers, Put g'(x) = 0 and solve for x.

Q: The owners of a restaurant are interested in analyzing the productivity of their staff. The function…

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Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

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Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

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Q: 5xy = 4x²z – 3yz2; yx and y,. -

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following