Given f(x) = (2x -3) (x+1). Determine (if any)

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < x < 2n %3D 5, 68 Give your answers accurate to…

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Q: The derivative of a fraction (that is, the quotient obtained by the division of two functions) is…

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Q: Find the area of the region described. - 3 The region in the first quadrant bounded by y =x and y= 3…

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Q: 12. Evaluate: 212 – 3/ī +1 dr (4) / (e) /: (a)/2 sec (20) de | rVr-1 dr (b) dr 16+9r2 sin t dt cos?…

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Q: Given the demand function D(p)=275−2p^2 Find the Elasticity of Demand at a price of $2

A: We have to find the elasticity of demand at price of $2.

Q: sinh x - 1 dx cosh x

A: We can find the answer as below.

Q: State the discriminant of 6x2-2x+K

A: Quadratic equaton is  6x2-2x+K=0

Q: Write an equation of the line parallel to x+8y=0​, such that the point ​(7​,9​) is on the line.…

A: Given query is to find indicated line.

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Given H=-29.53+1.073t2-0.2233t2 logt Here H  is head circumference Na t is the age function now,…

Q: a) Is the series >. is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: We have to find the convergent test

Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: An open-top rectangular box is being constructed to hold a volume of 400 in'. The base of the box is…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The objective of the question is determine Mn.

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: Evaluate 7(t) dt: 4 4t -k; a = 0 and b = 4 t2 +1 †(t) -î + 2e4t cos t ĵ- t2 + 5t +6

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Q: 15.5 10.5 15.5 Suppose | f(z)dz = 4, f(z)dz = 8, f(z)dr = 2. 13 f(z)dz 10.5 10.5 | (4f(z) – 8)dr =…

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Q: 2. Evaluate ř(t) dt: 4 4t ř(t) t2 + 5t + 6' î + 2e4t cos t j - k; a = 0 and b = 4 t2 + 1

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Q: Evaluate: J Vx – 4x² dx 2

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Q: The position of a particle in the xy-plane at time t is r(t) = (t - 1) i + ( - 2) j. Find an…

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Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: (a) Determine the extrema of the function over a one-year period. (t, R)- March relative minimum…

A: answer is in next step

Q: the choices for this question is a. 5x - 3y +19 = 0 b. -5x + 3y -19 = 0 c. 5x +3y -19 = 0 d. 5x…

A: Here is the answer given below

Q: 2. (Arc length) Prior to the accident that happened on Monday afternoon, the shape of the front…

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Q: бу + 4z Зх + Зу = -24 %3D -6 %D 2x 3z = 4 (х, у, 2) -

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Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x – y = 12

A: answer is in next step

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-2x. (Use…

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Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

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Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find the Indefinite Integral and 5x + dx (5x), Step 1 To obtain the glven Integral, rewrite the…

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Q: 4) Consider the function g defined by ga, y) = cas (7x Jj )+ logg(x-y) (c) in what dire ction…

A: The given function is: gx, y=cosπxy+1log3x-y. Required formula: The maximum directional derivative…

Q: 8 dx I (x – 2)(x +6)

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Q: En=1" Vn sin а. 1 b. 2 c. Converge

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Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: Suppose f(x) = ex, xE[0, 1]. (a) Find the slope of the secant line connecting the points (x, y) =…

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Q: dy The family of curves having * is 1) y=-2x+c 2) y=(2x - x') +e 3) y = 2x - +o O 4) y=(2- x²)³ +c…

A: We have to find solution of the above question

Q: Write the product as a sum or difference: 8 sin(20x)sin(9r)

A: Consider  8sin(20x)sin(9x)

Q: Determine where the given function is increasing and where i 19) f(x) = (x + 3)2/3 - 6 A) Decreasing…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: in(2x) – 5 cos(x) = 0 for all solutions 0 < a < 2n .68

A: Please refer to the image below

Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

A: topic- exponential function

Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Using integration, derive the La L(sinh at)

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Q: Find the first five non-zero terms of Taylor series centered at x = 5 for the function below. f(x) =…

A: To find the first five non‐zero terms of Taylor series centered at x=5 for the function given…

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: Assume that the number of barbeque dinners that can be sold, x can be related to the price charged,…

A: Given query is to find marginal revenue.

Q: n! 00 is 2.5.8....(3n+2) Zn=1 а. 3 b. 5 с. d. 3.

A: For the following problem,

Q: dy yt + 3y2 +1

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Q: times the radius. Water is poured into a cylindrical tank whose height is when the radius is 3m ? I…

A: The solution of question no 1 is given in the next step.

Q: Problem #1: Differentiatef (x ) = [(4 x4 - 5 )(3 x2-9 x -5 ) ]3 and solve f (2). Solution: Reason:

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Q: 3 (16-9r2)7 dr 9. p6

A: