Q5) A) Graph the curve Y = - 2 x (x -4)(x + 6)(x - 2) between the value of x [0, 4), then find the area of the finite region bounded by this curve and x-axis.

Q: The average home attendance per week at a Class AA baseball park varied according to the formula N(t...

A: N(t) =950(4+0.3t)12 Substitute t=2N(2) =950(4+0.3(2))12

Q: 3. A particle is moving with the given data. Find the position of the particle. a(1) = 3 cos/-2sint,...

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Q: - x if x 1 10. Let f(x) = (a) Evaluate f(-2) and f(1). (b) Sketch the graph of f.

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Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

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Q: Evaluate the following integral : S (sec X + cot X)² dx

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Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

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Q: Consider the function f(x. y. =) = 1 /g² + =². (a Find the gradient vector Vf. Write your final answ...

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Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by th...

A: Let's find. 

Q: Question For j(x) = f(x) · g(x), use the product rule to find j'(-8) if f(-8) = 2,f'(-8) = -2, g(-8)...

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Q: Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If...

A: d) -1nen+2ne2n+ne) e2n+1en+2

Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Two sides of a triangle have lengths of 12 m and 16 m. The angle between them is increasing at a rat...

A: Two sides of a triangle have lengths of 12 m and 16 m. The angle between them is increasing at a rat...

Q: Let E be the solid region bounded by the planes z= y, z = 2y, y 1, a 0, and r 3. The density of this...

A: We have to find the equation in integral form. And evaluate the mass of the object.

Q: tan (in |4x2|) dx is bin sec (In |(2x)ªl)| + C. what is ba The integral of A B) 4 © 1 1

A: Topic:- integration

Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: # m Find Ay and f'(x)Ax. 2. For y f(x)=. x = -1.6, and Ax = 0.1 at x = -16 and Ax = 0.1 (Do not roun...

A: We will find the values of each. 

Q: 3(1+t^2)dy/dt=2ty(y^3-1) how to solve this differential equation

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Q: II. Find the standard equation (slope-intercept form) of the tangent line to the given function at t...

A: topic- equation of tangent line

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

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Q: Consider the series. 8 8 + 3 8 8 + .. 34 32 33 This can be written as a geometric series in the form...

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Q: If {an}1 is a convergent sequence, then {2a,}1 is also a convergent sequence. n=1 Select one: O True...

A: First is true and second is false. 

Q: Car 1 is heading due south from Math-town at a rate of 40 miles per hour. Car 2 is heading due west ...

A: topic - application of derivatives

Q: 2 an is an infinite series with partial sum Sy = 9 – N2 Suppose that n=1 16 What are the values of а...

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Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

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Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

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Q: -) A) Find by using chain rule if f = ( , u = -1,x=-1 dx u+1 B) Evaluate the following integral: SV2...

A: This question is based on chain rule differentiation and indefinite integral.

Q: cot 2x dx . Evaluate the integral V cot2(2x) – 15 A In |cot (2x) + V cot²(2x) – 15| + C 2 csc (2x) B...

A: ANSWER: Option: B

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: Vx 2. Let f(x) x + 1' (a) Evaluate f(0), f(2), and f(a + 2). (b) Find the domain of f. (c) What is t...

A:

Q: is

A: We will find the derivative using quotient rule. 

Q: Verify the inverse function theorem of the function y = 4x2 +4x + 9.

A: Solution is given below:

Q: dx The integral / can be re-written as 1- x (A lim (2 - 2 V1-m ) m-- 00 B lim (-2 + 2 V1–m ) m-- 00 ...

A: ∫-∞0 dx1-x

Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

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Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x...

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Q: Qu 4 Using an operator , solve the following differential equations d²y dy a) dx² 10 + 25y = 0 dx

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Q: a) Using an operator , solve the following differential equations d²y dy 20y = 0 dx dx2

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Q: y' = xy+3x-y-3 xy-2x+4y-8

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Q: 4 du Consider dx. Transforming the integrand, the result will be kJ, where k is a constant. What is ...

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Q: A small aircraft is flying on a heading of N 30°W at a constant speed of 150 km/h. The wind is blowi...

A: The vector representation of the velocity of plane, velocity of wind and resultant vector R has been...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: een integrals within a region of th ne line integral of its boundary, m fically we have: be a simple...

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Q: The graph of the derivative f' of a function fis shown. y A y=f(x) 0. 4 9. (a) On what intervals is ...

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Q: 9y+14 dy 3. Jy-2)(y²++4) (y-2)(y²+4)

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x² dy 2xy %3D 4y*, У(1) - dx ...

A: Topic:- differential equations

Q: dx du where u= f(x) and for some constant, k. Compute \2). The integral reduces to eX + 1 A e +1 e2 ...

A: The integral ∫dxex+1 reduces to ∫kduu

Q: A Bifolium is the family of curves given by (x +y)* = kx²y, where k is a real number constant. %3D a...

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Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: