9-4x2 In solving for the antiderivative of f(x) = using trigonometric substitution, is transformed into Jf(8)d® after appropriate substitution. Determine the value of f(e) for 0 = 0.89. (note: O is in radian, your answer must be in two decimal places )

Q: 4. Solve the initial value problem. Give your answer in explicit form / = 4x /j + Vj sin a, y(T) = 7

A:

Q: sin'x cosx dx Evaluate: (1- sinx)2(1+ sinx) 2 sinx sin 10x - +C 10 A) 8 (B None sin 10x +C 10 (D)…

A: ∫un du = un+1n+1 +C

Q: *xe' de (x+1)2 Using integration by parts to evaluate it is best to let dx A u=xe"; dv =- (x+1)2 x…

A:

Q: To begin evaluating sintxcos xdx conveniently, express:

A: Given ∫sin4xcos5xdxWe can simplify this and write as∫sin4x(cos2x)2cosxdx

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: topic - relative frequency

Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

Q: To begin evaluating sin"x cos'x dx , express A cos x to (cos?x) cosx and use the identity cos?x= 1-…

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Q: (4x²+ 5x*)dx (x+1) (x²– 6x + 34) 2 By method of partial fraction, the integral can be evaluated when…

A: Please see the below picture for detailed solution.

Q: S 25 - x2 In -dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: Given, u= √(25-x2)

Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 х — 1 is x =

A:

Q: 2r+3, x<1 f (x) dx if f (x) = 5, Evaluate x21 A 21 B 19 28 D 16

A:

Q: Question 16 n2x cos3x dx= sin5xdx - sinxdx A) True B False Question 17 csch2zdz=–In|csch2z –…

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Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

A:

Q: In't dt 1. t(9-In?t)

A: The objective of the question is evaluate the indefinite integral.

Q: Find the slope of the tangent line to the curve below at the point (6, 8). V3r + 4y + V2ry…

A:

Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

A:

Q: a. A*(CB) = (AC)*B %3D

A:

Q: 2 -/2x +1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=3 and y=5 ?…

A: Antiderivative

Q: Question 17 Which of the following is NOT an improper integral? x-dx A -2 Vx2-1 x/2 sec x dx 01 x13…

A:

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. ④ 금Sn(3e)- sin(11e")+C sin(11e*) + C 22 A © -cos(ae)- cos(11e) +c…

A: The given integral,   ∫excos7excos4exdx

Q: The integral expression J xsin (2x)dx can be evaluated using integration by parts of the form Judv =…

A:

Q: x1/2 dx reduces to Using an appropriate algebraic substitution, the integral 1+x32 2y2 dy 1+y3 ys dy…

A:

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+ A True B) False

A:

Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 5)²(x – 5)(x + 6)3. (a) What is the remainder…

A:

Q: Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4…

A:

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A: The given vectors are: A=0,4,2, B=6,-1,0 &amp; C=3,0,1

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare A None 1- cos4x and…

A:

Q: The only solution to evaluate is using algebraic substitution technique. 3+V

A:

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A:

Q: e4x dx Which of the following trigonometric substitutions is the most appropriate to the intgral J-…

A: Follow next step

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 A 4 B C -4 D E) None 3. 3.

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

Q: o begin evaluating | sin“x cos x dx , express A sin*x to (sin?x)* and use the identity sin?x = 1-c…

A: Given query is to find the identity used to integrate.

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

A:

Q: evaluated uring integration by The integral expression Sxin?(2x)dx be can using integration by the…

A:

Q: Using the limit definition of a derivative find the derivative of f(x)= the square root of 4x-3.…

A:

Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: List all possible rational roots for the function f(z) = 7x* – 4x – 5z² – 6x + 119. Give your list…

A: givenf(x)=7x4 -4x3 -5x2 -6x +119

Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.8q+635. The​…

A: Given that the marginal cost for a company to produce q items is given by       MC(q) = 0.004q2 -…

Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

A:

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

Q: Graph the function and its inverse using a graphing calculator. Use an inverse graphing feature, if…

A:

Q: 0, and a root of multiplicity 1 at z =-5 The polynomial of degree 5, P(r) has leading coefficient 1,…

A: topic - polynomial

Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

A:

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A:

Q: that

A: