A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per second). The velocity (in feet per second) function is v(t)=44+2.2t. The car reaches the speed of 60 miles per hour (i.e., 88 feet per second) in 20 seconds. Then during the 20 seconds the car has traveled miles.

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Evaluate the integral. 10) 5x2 V5 + 3x3 dx

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: Rung-kutta ylsx+zy use o Sulve me hou2s

A:

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: 37 Let (): (Give an exact answer. Use symbolic notation and fractions where needed.) <1< 2x and cos…

A: cos(t)=49    and    3π2&lt;t&lt;2π We need find the value of cost2 using half-angle formula.

Q: Given ú x ở = (2, 3, – 3), find (ủ – 4v) × (ú + 3v).

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: one-sided limit (if it exists). 72. lim

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Q: show

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Find an equation of the plane with the given characteristics.   The plane passes through the point…

Q: Find the volume of the parallelepiped determined by the vectors a = (5, 2, – 1), b = (0, 4, 1), č =…

A: We will find the volume of the parallelepiped by using the given vectors.

Q: 1. In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: a) ∫-12x2-3xdx=x33-3x22-12=233-3(2)22-(-1)33-3(-1)22=83-6+13+32=-32∫-12(x2-3x)dx=-32b)…

Q: Use logarithmic differentiation to find dy/dx. y = x6/x dy %3D dx II

A:

Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: 3. Find asymptotes, intercepts and graph. 4х -8 f(x) = X +1

A: Solve the following

Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

A:

Q: In 6 19) ex dx In 3

A: ∫ ex dx = ex +C

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

A:

Q: Determine whether each of the following statements is True (a) For a quadratic function f(x) - b x^2…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Qi Find the adjointof A 2. A= 2

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Q: 2х + 3 dx x² + 3x

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Q: 5. Find y' * xY = y*

A:

Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

A:

Q: Let å = (– 4, 0, – 5) and b = (– 4, 1, 3). Find the angle between the vector (in radians)

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Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: The graph of the velocity function v = v(t) is given below. Determine the distance trav- eled during…

A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: A firm's marginal profit, P, as a function of its total cost, C, is given by the equation below. a)…

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Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

A: Given

Q: y = f(x) A) -5 B) 5 C) 3 D) -3

A:

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: lim cos x + x cos a. 0 b. 1 d. does not exist

A: This question is based on Squeeze theorem.

Q: Use polar coordinates to evaluate the double integral int int _R (4+x) dA , where R is the region…

A:

Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: 30 507 13.

A:

Q: Find the Maclaunin polynomial of degree 3 for the fuction. - ge

A: The given function is:fx=e-9xTo find the Maclaurin polynomial.

Q: The equation x10 – 10x2 +5 = 0 has a root in (0, 1) Select one: True False

A: We want to check true or false.

Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is…

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Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

A:

Q: -1/4 4. J1/12 Je+atvE 2 dt

A: This question can be solved using integration by substitution.

Q: In x 35. lim

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Q: Consider the function f(x) = cos(2x). %3D 1. Find the Taylor series for f(x) at x = T.

A: