Find the following limit. lim <3t²4t + 1, t→2 answer=< t² + 5t - 14 t-2 Question Help: Video Calculator Submit Question -, 3. cos(t) > V

Q: For the given function, compute the missing values in the following table. f(x) = 2−x x −3 −2…

A: We have given f(x) = 2-x

Q: The point x = 0 is a regular singular point of the given differential equation. Find the recursive…

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Q: Evaluate the iterated integral In 3 In 5 S + 3y dy dx

A: The given iterated integral is:∫0ln 3∫1ln 5 ex+3y dy dx

Q: f cos 4x√sin 4x + 1dx. O-(sin 4x + 1)³/2 + C O(sin 4x + 1)³/2 + C O-(sin 4x + 1)-¹/² + C O(sin 4x +…

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Q: Let f(x) = 3x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: A utility company burns coal to generate electricity. The cost, C(p), (in dollars) of removing p…

A: Answer is in step2.

Q: 9. Find the critical points of f(0) = cos² 0 + 0 in [0, 7]. (Hint: use sin 20 = 2 sin 0 cos 0) KI6…

A: A detailed solution is given below.

Q: Consider the following function. f(x) = ln(5 + 7x) a. Find the full power series of f(x) centered at…

A: The solution is shown below-

Q: Find the distance between the skew lines: z = 8-9t x = 5+7t, y = 3+7t, x = 1 -t, y = 6, z = 5+8t…

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Q: The engine in a tank has a power curve approximated by x² 40x Y + 30 25000 46 where x is the RPM and…

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Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 600 1,200 2,400 f(x) =

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of v.

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Q: Assuming that we are drawing five cards from a standard deck of 52 cord duck . How many ways can we…

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Q: 9 f(x) 3 + 7x a. Find the full power series of f(x) centered at x = 0 and give the first five…

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Q: The following table gives the percentage, P, of households with a television set that also have a…

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Q: Consider the function f(x)=x^3e^8x,−3≤x≤1 The absolute maximum value is = and this occurs at x…

A: Here we have to find the absolute extrema.

Q: The owner of a cattle ranch would like to fence in a rectangular area of 1500000 m² and then divide…

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Q: Find f'(x) if f(x) = x cos (x²) dy inddx _y=²csc(√x) b) Find

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Q: If f(x)=√ sinx, find f'(x). f'(x) =

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Q: - The cost function for a product is C(q) = q³ −— 66q² + 1452q + 1110 for 0 ≤ q ≤ 50 and a price per…

A: Given cost function:- Cq=q3-66q2+1452q+1110

Q: For what value(s) of x does the graph of have a horizontal tangent? x = help (numbers) f(x) = 10x³…

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Q: 37. lim x40+ log₂ x log, 3x

A: Note: Since, the student has mentioned to solve question no. 37,  so we solving according to this…

Q: Find y" by implicit differentiation. 2x³ + 5y³ = 2 y" = 2x² 5y2 X

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Q: 1 - cos(x7) x² a. Find the Maclaurin series for f(x) after removing the removable discontinuity at x…

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Q: Consider the function f(x)=9x2+(4x−2)(3/2)−1 over the interval [1,7]. Does the extreme value theorem…

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Q: Match each of the following conditions with an equation. f(x) = 24x - 4 fil(0) f(0) = f(0) = 0 = y =…

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Q: F) y= 4x³ In(8x)

A: y=4x3ln8xd dx(xn)=nxn-1d dx(lnx)=1xd dx(ab)=b×dadx-a×db dxb2

Q: A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs…

A: x is the number of CDs produced The variable cost is $12 per CD and the fixed costs are $40,000.…

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Solution Regression model for men

Q: Express this alternating sum S as a simple fraction:

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Q: Find the derivative of y = x²ª dy/dx =

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Q: 2r cos 0 Replace the polar equation r= (csc 0)3e2rc with an equivalent Cartesian equation. T

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Q: Consider the function f(x) = 9(x - 5)2/3. For this function there are two important intervals: (-∞,…

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Q: Determine the value of K so the planes intersect in a line. x + y + z = 0 x + 2y+ 3z = 0 x + 4y…

A: I have a pendard the formula used in the solution part and the concept also mentioned there

Q: Differentiate y = ψ y=5 k=0 Σ(k - 4)ak. k=0 ---

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Q: art 1 or what value(s) of x does the graph of have a horizontal tangent? C = art 2 Differentiate the…

A: For calculating horizontal tangent for  f(x)=10x^3-15x^2-60x-30 Where it's derivative is equal to…

Q: The percentage of deaths caused by smoking related heart disease is represented by the function 65(x…

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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Q: A car travels down a straight road. Let s(t) be the position (in meters) of the car at time t…

A: Here given thats(t) =position of the car at time tgiven initial position s(0) = 4minitial velocity…

Q: Find the area of the region bounded by the curve y = f(x) = x³ - 4x + 1 and the tangent line to the…

A: First we need to find the equation of tangent line at point (-1,4)

Q: In order to approximate the area under f(x) = e²² from x = 5 to x = 22 using 20 rectangles and the…

A: We need to approximate the area under f(x)=e-x2 from x=5 to x=22. So, here, a=5 and b=22.

Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

Q: 2. Find the equation of the line tangent to the graph of y=-³²e²x at x = 2

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Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

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Q: 1. fx³ex/²dx

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Q: Consider the function f(x, y) = 2ye7 and the region R = {(x, y)|0 ≤ x ≤ 1, 0 ≤ y ≤ x³}. (a) Find the…

A: The solution is shown below-

Q: 30) Emily has a gift certificate for $10 to use at an online store. She can purchase songs for $1…

A: Given: Emily has a gift certificate for $10 to use at an onlinestore. She can purchase songs for $1…

Q: How many critical points does the function f(x) = 7sin2 (8x) have on the interval (0, π)? Provide…

A: Given that  a function f(x) = 7sin2(8x) and we find its critical points.     Here i attached the…

Q: We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: a.  point on parabola with x = a

Q: SET UP the double integral to find the area of e right by the parabola y = x², on the left by the…

A: Given  Area is bounded by parabola (y=x^2) from right and line x+y=2 from left and y=4 from above