dz In Vz+4 - 2 2ydy , if we let y=Vz+4, then the new integral becomes у-2 A True B False

Q: Choose the suitable function y1, for the method of reduction of order, to find a second solution y2…

A:

Q: x² – 25 S The antiderivative of dx is V x2 – 25 – sec-lx+ C. A True В False

A: follow next step

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

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Q: (3-y Q1) Evaluate the integral dx dy using polar coordinate

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Q: Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х,…

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Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x² + 9y² =…

A: As per given  We have to determine volume of solid

Q: applying substitution méthöd: sqns -48

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Q: Give the VALUE only. No need to inclu unit. *

A: Given: s=24t+10t2

Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Reduction of order can be used with 2x to find a second solution for the %D DE: 2x²y" – xy' - 2y =…

A: Given y1= 2x² is a solution of 2x²y''-xy'-2y=0....(i) So 2x²y1''-xy1'-2y1=0....(ii) Let y=…

Q: !. Find the numbers, if any, where the function f(x) is discontinuous. Explain your answer. x + 1…

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Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy-2x1-y2dx=0

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: The volume enclosed by the cylinders z= 5-x,z= 4x and the planes y = 0, x+ y =1. Solution

A: First we will draw the region and find limits for x, y and z

Q: dy Find given x' +y =8.y. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Topic = Derivative

Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

A:

Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: QI) Evaluate the integral dx dy using polar coordinate

A: Solving

Q: Find dy dx 1-Ln(»+さ)=かげとxッ) tュx 2- Y= (1+x)

A: As per bartleby guidelines we only give first question answers.

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: 2 3) -2

A:

Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

A:

Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: Find the total distance traveled by a body and the body's displacement for a body whose velocity is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: dy Find if yJx-9 =Xyt2 %3D

A: we have to find dy/dx

Q: csc 2 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. ( A) True…

A:

Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

A:

Q: Find if yvx – 8 = xy + 2.

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Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

A:

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and…

A: => i have provided this answer with dull description in step-2.

Q: 4.Describe the largest set S on which it is correct to say that f is continuous S (x,y) = In(1–x² –…

A: Given problem:- Describe the largest set S on which it is correct to say that f is continuous C.…

Q: S tan?x secs x dx 1 х + Ос none of the choices 1 -sec"x + sec*x + C + C O A B.

A:

Q: Write Tif the statement is true, or F if it is false. Write your answers on the blanks. dx x +C 3 2.…

A: 1.∫5x233dx=∫53x23dx=53x5353+c=x53+c1. T2.∫-45x544dx=-45x944×49+c=-5x94+c2. T

Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

A:

Q: Find the centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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Q: Consider the region bounded by the curve v= x2 – 1 and the x - axis over the interval [0,3]. Find…

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Q: Find al ales of that satsy th equation f(x)= g'(x) # f(x)=sin x and g(x)=cos x. 3mt x+kT, where k is…

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Q: e auxiliary equation of the DE: sy"-4 y"+ -2 y=0 is s m3-4 m2+-2 =0. Lect one: True False

A: We have to choose the correct option from the given options

Q: x² + 64 Using trigonometric substitution, given -dx, the simplified form of the integral is: x2 sec³…

A: Given: ∫x2+6464dx