1. Short answer. If v(t) is the velocity of a particle in rectilinear motion, measured in cm/h, what does the integral tv(t)dt represent, and what are its units?

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: function q= 19825 √pº where p is in dollars. Currently, each unit of the product is selling for $3.…

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Q: Problem #6: Find the unit vector e, in the direction of v = (6, 7). Problem #6: If your answer is…

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Q: 8 What is the constant term in the expansion of (x-¹? a. 600 b. 500 c. 70 d. 75

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Q: 1. Suppose that f(x) and g(x) are differentiable functions and it is known that: f(3) = 2, f'(3) =…

A: Since you have asked multiple question, we will solve the first question for you i.e. 3.1.1. If you…

Q: area

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Q: Find the 20th term of the geometric sequence with a = 1/8 and a7 = −1/64 a20

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Q: How would I find tan pi/4 if I didn't have access to the table of trigonometric functions? (like on…

A: To find  tan pi/4

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Q: Find the surface area of the surface generated by rotating the curve y = cos (x/2), 0 ≤ x ≤ π/2,

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Q: Sketch the curve for the pair of parametric equations. x = O O O t² 6₁ Y=t 42 46

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Q: Let A and B be 3 x 3 matrices, with det (A) = -3 and det (B) = 4. Compute the following. a. det(AB)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential…

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Q: 4. Determine algebraically the equations for two lines that are tangent to y = 3x² - 24x + 50 that…

A: we have to find out the equations of two lines tjat are tangent to the equation and passes from the…

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: Find the net change in the value of the function between the given inputs. f(x) = 8 − 5x;    from 5…

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Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 8 is y = 9x -…

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Q: The path of a total solar eclipse is modeled by f(t)=0.003321² -0.587t+ 36.184, where f(t) is the…

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Q: : f(x) = 3x2-4x-4 on [0,2]

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Q: Write the equation y= (x^2)/3 in polar form

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Q: nd the nth Taylor polynomial for the function, centered at c. f(x) = x²cos x, n = 2, C = T -(x) =

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Q: Find (f¹) (-2) if f(x) = x³ + x - 4. (f¯¹1) '( − 2) = | (Simplify your answer.)

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Q: lim 21 2² 1 if eta dt

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (±3, 0),…

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Q: The height of the cylinder is 6 inches. We'll be analyzing the surface area of a round cylinder - in…

A: Please see the below picture for detailed solution.

Q: Find the area of the shaded region. r = √e R 2 X

A: Given : r=∅r2=∅   shaded region : π≤∅≤2π

Q: Exercise 1 Let f(x) = arcsin ( i) Find the domain of f, its sign, eventual symmetries, limits and…

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Q: f(x, y, z) = x² + y² + z²; x² + y² + z = 13 maximum. minimum

A: We can use Lagrange multipliers to find the maximum and minimum values of the function f(x, y, z)…

Q: e Ratio Test or the Root Test to deter 6 85 1 2 8 converges O diverges

A: we will find the required convergency or divergency of the given series.

Q: The cross product of the two vectors u = and v= is vector: Select one:

A: given vectors are  :-u = 1,5,3       and    v = 7,1,5then we have to find cross  product of these…

Q: arcsin (sin 37)

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Q: Use the graph of y = f(x) in the accompanying figure to estimate the value of ƒ'(2). -1 -1,0 -1 1,0…

A: Please see the below picture for detailed solution.

Q: olve for me: There is a cubic function with f(3) = f (−3/2) = 0 with a turning point at the factor…

A: There is a cubic function with f(3) = f (−3/2) = 0  Therefore, factors are   (x-3) and (x+32)…

Q: Find the slope of the tangent line to the curve defined by 2x4 + 6xy — 7y³ = −623 at the point…

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Q: Write the pair of parametric equations in rectangular form. x = t, y= 23/10 Oy= 0y= 22²2 5 3

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Q: Find the sum of the convergent series. 2 + 0.2 0.02 +0.002+...

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Q: Suppose that 1.² 1 (1 + x2)3/2 dx = 1½ Then a =

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Q: Question 22 The graph of y = -tan (+7) has an asymptote at a = -37. O True False answer as sin (sin…

A: Please see the below picture for detailed solution.

Q: The cross product of the two vectors u = and v= is the vector : Select one: w = 22, 16, -34 > 22,…

A: Here is the solution:

Q: 7, 8, 2, and 10 = Verify the given linear approximation at a = 0. Then determine the values of x for…

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Q: 3) (0) 3x²2 4) y = 5x² +3e' + 2e

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Q: 6. Use Bernoulli's method to solve the initial value problem: x2 - 2xy = xy³ dx

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

A: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars)  are…

Q: A box with a square base and open top must have a volume of 415292 cm³. We wish to find the…

A: Let length of square base=x cm and y be height of box

Q: Let h(t) = 5t³.2 — 2t-3.2. 2.2 6.4 + A.2 Then h'(t) is 16t h'(3) is 179.44868179 h"(t) is and h'(3)…

A: h(t)=5t3.2-2t-3.2d dt(tn)=ntn-1

Q: you

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (±2, 0), vertices…

A: Solution will be given below

Q: cubic inch and compare your results to Jason's. Find the conversion factors to change cubic inches…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…