Find the partial fraction decomposition. 2x-2 (x-2)(3x-5)

Q: (b) O The system has no solution. 10 1 -2 O The system has a unique solution. 01 2 8. (x, y, 2) =…

A: See below the answer and explanation

Q: SVy+1-20 dy = 4x(x2 + 2)dx. 2 dy can be evaluated conveniently if we let x =Vy+1-2 and True False

A:

Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

A:

Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

A:

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

A:

Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: : Write step by step solutions and justify your answers. 1).- ! Solve the following Initial Value…

A:

Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: Q3 Find dy tan (X?y) tanx 2 y-(1+x)

A: A detailed solution is given below

Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

A:

Q: Use implicit differentiation to find dy/dx. 13) 2хy - у2 - 1 A) _ у -х B) X - y C)L X - y D) – y - x

A:

Q: Graphing a region and finding its area. 1. Sketch the region and find the area of the region bounded…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

A:

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 6 cos(t)i + 6 sin(t)j+…

A:

Q: dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

A:

Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: End P4)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below

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: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

A:

Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

A:

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: An environmental protection agency discovered in the beginning of 2009 that a waste dump has been…

A: Let's find

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

A:

Q: Evaluate the integral. In 2 tanh x dx

A: ∫02tanhx dx=∫02sinhxcoshxdxUsing formula ∫f'(x)f(x)dx = ln|f(x)| +cHere , f(x)=sinhx , f'(x)= coshx

Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

A:

Q: 25) (2x2 V9 + 4x3 dx

A: Answer is in below step.

Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

Q: a) (fog)(7) b) If 4) If f(x) = x + 3 and g(x) then find (gof) (2). %3D x+1

A:

Q: 15

A:

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

A:

Q: Work Problem 1 [With integrity statement] (! Let R be the region bounded by y=x+ 2, y 0, and x=2.…

A:

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

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

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

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

A:

Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

A:

Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

A:

Q: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

A:

Q: X-8 Q18: Select the incorrect step while evaluating S dx. x2-7x+10 x-8 8 I: Let I = dx = S dx - S dx…

A: Given problem:-

Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: f "(x) 2)-1/2 x+2( -3 + 2)-1/2 + 4) -3( 2x+ 2

A: Solving

Q: Question 8 Saved If limx→a f(x) 8(x) = 1 and limr-→a g(x) = 0 then, we must have limx→a = True False

A:

Q: In x²/25+ x² dx , we let x=5sine. A True

A:

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

A: