S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

Q: y 2 y = sec? x y = sin(4x) → X T/8

A:

Q: dx Given: Vx sin/x Find: Formula o Sesc u du O2 fcsc u CSC du O 2 sin u du Ssin u du

A: Explained below 

Q: ax Evaluate • (1– 2x)² 1 2 2 O 1 O-1

A:

Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-4r? ...

A:

Q: 2.1x + 11.1 if r – 1 if z = – 1 Determine which one of the following rules for continuity is violat...

A: Given query is to find the rule whic is violated.

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

A:

Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl VZ...

A: Explained below 

Q: 4. Let F be a smooth vector field. Show that the flux of F leaving an infinitesimal cube of volume d...

A:

Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: Consider the following rational function: anx" + an – 1xn-1+ ... + a1x + ao f(x) bmxm + bm - 1xm-1+....

A: The rational function,      fx=anxn+an-1xn-1+....+a1x+a0bmxm+bm-1xm-1+....+b1x+b0

Q: f(x) = (4x + 1)2;    (0, 1) (a) Find an equation of the tangent line to the graph of the function at...

A:

Q: 5. Find the limits: a) limg→0 4 – Vx + 16 Vz – 3 b) limz→9 z - 9 t +2 c) lim→-2 |t+2|

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Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: Identify whether the statement represents an exponential function. For each training session, a pers...

A: Topic:- function

Q: a. Suppose the function f is updated from f(x) = x* to f(x) = – 4 · a*. How does changing the coeffi...

A: Multiple questions are asked, I am answering the first question.

Q: Evaluate x* zdS, where S is the part of the plane z = 1+4x + 3y above the rectangle [0, 3] x [0, 5]

A: Please see the below picture for detailed solution.

Q: write the following Integral as a limit (a) Determine whether the following Integrol Converges or di...

A:

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: tan æ – In () DIFFERENTIATE the given:

A:

Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

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Q: Consider the following image. 10 -10 -5 10

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Q: Find the area enclosed between f(x) = 0.6x² + 3 and g(x) = x from x = -2 to x = 6.

A: Topic:- application of integration

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

A:

Q: Choose x such that the following two vectors are parallel u = (-5, 7, – 9) and v = (25, x, 45)> -7 N...

A:

Q: dy dx + + 3y – 5x – e-t = 0 dt dt dx dy dt + x + y – 3 = 0 dt

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: 1. Find the volume of solids generated by revolving the regions bounded by the lines and curves: a) ...

A:

Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 2x b) f(x) = ...

A:

Q: a. The graph of a monomial function f is shown below. 25 20 15 10- 5 -5 -4 -3 -5 -10 -15 -20 -25 Com...

A: Please see the below picture for detailed solution. 

Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: If $1500 is invested at an interest rate of 3.5% per year, compounded continuously, find the value o...

A: topic - exponential function

Q: SV5+12x? - 4x4 xdx 2x2 - 3 (2x2 - 3)/5+ 12x? – 4xª + 14Arcsin V14 +C O (2x2 - 3)/5+ 12x² – 4xª + 14I...

A:

Q: sec? x dx- 4 Evaluate /1-tan x O-1 O -2 1 O 2

A: We have to find the integral

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A:

Q: In the following exercises, state whether each statement is true, or give an example to show that li...

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

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the ...

A: Topic:- application of derivatives

Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

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

Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

A:

Q: Express the general solution in terms of Bessel functions: 4x?y" – 4xy/ + (16x² + 3)y = 0

A:

Q: 3. y = x³ – 3x² + 2x – 6 ACTIVITY 1. Find the deriva 1. f(x) = -2 2. g(x) = 4x3 %3D 2 %3D -

A: Solution:As per our guidelines we are supposed to answer only three questions. Here  f(x)=-2

Q: v) Given that the expression for the composite function, i[h(x)], can be written in the rm: V(ax + b...

A:

Q: 4 4e | f(z) = as x approaches 0 using the table of values? !! I. II. -1 -0.5 -2 -0.1 -1.5 -0.01 -1.1...

A: To find the limit at x tends to zero. We need to find limit near to the value x=0 There are four opt...

Q: . Find the equation of the line tangent to the function at the given value of x. . Use a graphing ut...

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Q: Determine the value of x of the discontinuous function: * x – 1 x 3

A:

Q: Find the exact value of the slope of the tangent line to the graph of 2 – x? – a² + 3xy – 3y = 1 at ...

A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c....

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Q: 11. sec(x)/sec(x) + tan(x)dx

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Q: Given the differential equation у" — у' — 12у %3D 7ез^ cos(x) Determine the Wronskian for the differ...

A: Solving wronskian

Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

A: