x-2 Evaluate the integrand J dx using partial fractions (x-1)(x²-4x+4) A. In]x – 1| – In x – 2| -+c x-2 2 B. In]x + 1|– In x - 2 - + c x-2 2 +c c. In|x – 2| – In x+ 2| D. In]x – 1|+ c x+2 A В

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c - ...

A: To evaluate the given integral.

Q: 2х+5 9. Find the derivative of the function (x) = Simplify your answer. Show your 2х-3

A: 9. fx=2x+52x-3f'x=22x-3-22x+52x-32=-162x-32f'x=-162x-3210.gx=cos25xg' x=2cos5x-sin5x5g' x=-10cos5xsi...

Q: F sin?(20)de c. D. - A. в. A B.

A:

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't...

A: topic- indefinite integral

Q: 23) Find the SLOPE m = at the point (2, 0). [Hint: sin 0=0 and cos 0 =1] A) 2 of a tangent line to t...

A:

Q: If f(t) -Int find f'(t). Use exact values. 4 16' f'(t) = 2 x o tở In(t)

A: This is a problem of differentiation. Please follow the procedure given below. 

Q: 1. Complete the table for the sine, cosine and tangent for the special angles in quadrant I. Keep yo...

A:

Q: 4x + 300 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A: We have to find elastricity and in small price cause the total revenue to increase or decrease

Q: 1 1B= (1 – i)10 + 40eš", and 1+ 1+i If A = 1+ C = log [2 + In(3 + 4i)] Solve for A + B + C. Reduce y...

A:

Q: Rate of Evaporation The Los Angeles Zoo plans to transport a California sea lion to the San Diego Zo...

A: Given : At any time t ,the blanket will lose water (due to evaporation) at rate proportional to the ...

Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

A:

Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: Find all solutions to the equation on the interval 0, 27) : cos (a V3 - 2 * 47 3' 3 47 57 3 3 * 27 4...

A: Given query is to find the solution of the equation.

Q: Suppose that f(1) = (2x – 5)°(5z' + 1). Find f'(x), and then evaluate f' atr= 2 and I = 2. f'(2) = f...

A: For the given function we find the Differentiation using multiplication rule as follows  -       If ...

Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

A:

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x cos x + 3x...

A: topic - derivative of the function

Q: Suppose that an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 (a) Does th...

A:

Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

A:

Q: A hemisphere with a radius of 4 m is used to protect some plants. The thickness of the material is 0...

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 3] x2 - x...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A:

Q: Find domain and range to the following function Y = tan (cotr)

A: We will see that we have the following restrictions on domain of the function

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is...

A:

Q: 2. -dx xpS

A:

Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

A: We have to find solution of given integration of trigonometric term having even power on sine and co...

Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: The given function is: f(x)=ln xx

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r ...

A:

Q: Evaluate the integral of the following transcendental functions. dy 4) S- 19- 49 y

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Write out the first three terms and the last term. Then use the formula for the sum of the first n t...

A: Given query is to find performed indicated operation for arithmetic sequence.

Q: Let f(1) = (1 + 2x + 2)*

A:

Q: Let F(r) = | S(t) dt and G(r) = g(t) dt, where the graphs of f(r) and g(r) on [0,6] are below. 3.5 y...

A:

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: d²y Find dx2 if –10x – 6y = -6.

A:

Q: Solve 2log (x+ 1) =log (x) + log (x+3). Don't forget to check for extraneous solutions.

A:

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=5 and x...

A:

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2). S...

A:

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2 a...

A:

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

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

Q: A nonhomogeneous differential equation, a complementary solution yc, and a particular solution y, ar...

A:

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

A:

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

A:

Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

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

Q: (a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in...

A: Sum

Q: 5. A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is pl...

A:

Q: The function f (x) = 6x¬l for the interval (0, 2) has a local minimum. neither local minimum nor max...

A:

Q: 120 150 30 360 11 240 300

A:

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

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

Q: Let F(#) f(/(=)) and G(r) =(F(2))2 and suppose that f(5) = 6, f(6) = 3, f'(6) = 7, f'(5) = 15 Find F...

A: