€x2 + 5х + C) dx %3D Зх + 5

Q: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

Q: F'(x) = (ax3 + b)2 O none of the choices O 1 За ах3 + b 1 1 2a ax3 + b 1 1 - За аx3 + b. o 1 2a (…

A:

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

A:

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

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Q: 2x + 1 Evaluate: (3x – 1) (x² + 2x + 2) 2 In (|3x – 1|) – In (x² + 2x + 2) + 4 arctan (x + 1) +C A F…

A: Find your answer below

Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

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

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Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Topic = Derivative

Q: integral is true or false: 3 dxdydz = 72. 0. 1 -3 Select one: Truo

A:

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

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) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: dx 1.4 Ven(3)+2x dx 1.5 Show steps. Your reasoning is more important than the numerical answer.

A:

Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: dy Find given x' +y =8y. dx

A: Given  x3 + y3 = 8xy

Q: Evaluate triple integral f, SE Lx? - y?)dz dy dx.

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: Let's draw the diagram for the given condition

Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

A:

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: find the rational number represented by the repeating decimal. 0.451141414

A:

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: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

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

A: Given: s=24t+10t2

Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: (a) Given a vector A =-i+ 2j – 2z in Cartesian coordinates, (i) sketch vector A, (ii) find its…

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Q: b + c =? с — 2а 4a = 3b, 5b = 3c =

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

A: Here, the given equation is: x3+y3=8xy...(1)

Q: :(7e*) cos (4e") dx Evaluate: e cos --cos (3e*) – cos (1le*) + C 22 ® os (3e*) +cos (11e)+c COS 6.…

A: We have to find value of given indefinite integral

Q: Question 2 Evaluate: J y* sech (e m)tanh (e ) dy A sech (y7) + C B) None © -eh*(,) + C E

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Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

A:

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x

Q: characters. * Determine the slope of the tangent to the curve y - 3xy +2x = 4 at the point (3, 2).…

A:

Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

Q: Question 12 S dy =2/y- 5inlVy+5|+c Vy +5 A True B) False

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Q: Write T if the statement is true, or F if it is false. W. 1. -dx x' +C 3 %3D 45x=-5x +C 9. 2. %3D 4…

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Q: 8. (a) Use the limit comparison test to determine whether the series converges. k=1 (b) Use the…

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Q: 10x ME 10. 4+ 25x'

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Q: Question 3 2 dr sech 2r = A True B) False

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Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

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Q: 33 Vx2 f(x) = + Ve2x + 2x – In e, x # 1 TT Sin 2x - 1-x

A:

Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

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: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

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: 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: Question 1 1 In solving the antiderivative of f(x) = sin(x) + 3cos(x)+3 by miscellaneous…

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Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

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Q: At which value of x does the local maximum occur? Ox=3 O local maximum does not exist Ox-1 Ox=5

A: