if any. Find the absolute extremum point (s) of f(x) = el-cosa on [-, ],

Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: Question 2 Consider using the method of partial fractions to solve rb dx = Sa 2x²+2+x³+x² dx = [Aƒ…

A:

Q: Determine the values of r for which the differential equation y' +9y = 0 has solutions of the form y…

A: Given differential equation.

Q: Explain why you think the sequence converges to a finite number or (n+1)! diverges. If the sequence…

A:

Q: VI. Suppose h' is continuous at x = 0 and h'(x) =tan(2x) - 1 if x > 0. Find h(0), if it exists.

A: Let's find.

Q: Given : A B Ⓒ E b 27π²-24 [x³sin(2x) dx = . 64 2π 3 3π 4 TU 4 =|m 5 T 6 Find b if Isb -SOST

A:

Q: Question 3 x²+x+1 Sa 2x²+2+x³+x -D Sa x+2' - dx = [Aƒ (x) — B ln(g(x)]å + D rb dx 2 and if A = B<0,…

A:

Q: d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt the product…

A:

Q: If f cos*2t dt = At-B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants 24-38…

A: This is a problem related to integration of the trigonometric function. Based on the general formula…

Q: Logarithm function Copy the table onto your paper, and fill in the x-values for y = log, x. x y -1 0…

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Q: Two copies of the same Rational Function are shown below. On the graph below draw the Horizontal…

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Q: II. Find 2. y = Do not simplify your answers. dx tan ¹(cosha) (sin² x)(secha)secz [use logarithmic…

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Q: dy II. Find Do not simplify your answers. dx ㅠ 1. log;(√2æ² + y) + tan(xª — πª) = sin¯¹(x² − 1) + ½…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Consider S 1x². 2-9 x3 what is the integral form in terms of ? A / Scos² e de Ⓡ = sin²e de B C…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee…

A: answer is in next step

Q: Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

A:

Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: The height y (in feet) of a ball thrown by a child is 1 y 162² +42 +5 where a is the horizontal…

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Q: Question 14 If f(x)=x+4 and g(x) = -4, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function…

A:

Q: dw a) Find for the following function. dt w = 2ye* -In(z), x = ln(t2 + 1), y = cos(2t + 2), z = et…

A: If w=f(x,y,z) and x =g(t),y=h(t) , z=u(t) then,    dwdt =∂w∂x.dxdt+∂w∂y.dydt+∂w∂z.dzdt. Note : As…

Q: O parabolic cylinder

A:

Q: rem, if applicable, to determine if f(x) takes the value 0.1 for some x in [0, 1].

A:

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Given: fx=36x2-12x+36x-3   As we know that; To calculate the vertical asymptote, equate the…

Q: Given: (1+2x) ex dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the value…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = et sin(t), z =…

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Q: x² dx (x²+4)5/2 Sπ/4. (Use trigonometric substitution)

A:

Q: X A b B a C) C D d is solved by trigonometric substitution, which of the following (b) x = √5 sec8…

A: We can solve as follows

Q: Let (A) = and B = . Find the angle between B and A D O [cos) 2/√(30(21)) O [cos] ^(-1) 2/√(30(21)) O…

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Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√²-x-√√x² + x)

A: The given limit,     limx→-∞x2-x-x2+x

Q: 8 Given: (В © √³x³sin(2x)dx= F4 5T 6 21 Зд TL 277²-24 64 T Find bif sb st

A: Solution is given below:

Q: dy/dx of sec^2 (x^pi - pi^y)

A: To find the derivative of given function.

Q: 4x /² sin () cos (+) sin (²) dx (Consider initially the first 2 terms) 3

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We need to find domain and value of r(t).

Q: +x+1 2x² +2+x³+x dx = [Aƒ'(x) − B ln(g(x)] + D, and if A=B<0, then f x+2 -2x + +5In(x + 2) + C 2 x²…

A: Solution of the problem as follows

Q: d Calculater₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

Q: ST/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: Your answer is incorrect. Evaluate the definite integral. NOTE: Enter the exact answer. Ld+23|| =…

A:

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: A B Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv= dx, the integral can be written…

A:

Q: Question 8 Jesse wants to build a rectangular pen for his animals. One side of the pen will be…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x - 1+1/2/3 1. lim x-1 2x²…

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Q: Calculate the derivative. x4-4 y = x²5 (Give an exact answer. Use symbolic notation and fractions…

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Q: 62. du * |x|dx

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 lim = (?, ?) t→+∞0 8t² +9¹ 5t

A:

Q: Solving z² + 14-7-0 by completing the square method produces an equation of the form (z + h)² = k.…

A: Given,              x2+14x-7=0

Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: The equation z² + 71-3-0 has two solutions A and B where A <B and A and B Give your answers to 3…

A: The given equation,          x2+7x-3=0