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Q: 2.1 Use the Second Fundamental Theorem of Calculus to find F(x) = √₁2²₁dt F(x) = ₂√t4 + 1 dt a. b.

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: Determine if the graph of each function is increasing or decreasing, concave up or concave down, and…

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Q: Fill in the missing values below one at a time to find the quotient when 2x³ +11x² + 6x - 3 is…

A: 2x3+11x2+6x-3 divided by x+1

Q: 3 to 4-x² dx

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Q: Σ (k+ 1) (k + 2) k=1

A: Ratio Test

Q: 7. f tanxdx

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Q: A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each…

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Q: Determine a pair of equations that can parameterize the curve ² = 4x - 5y - 6, using a(t) = t as one…

A: Express y in terms of x and then put x=t.

Q: Is the series 3271-n convergent or divergent? n=1

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Q: Find (x + 3y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0} . z Round your answer to four decimal…

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Q: A graphing calculator is recommended. The population of a certain species of bird is limited by the…

A: According to question,Given Function of  No.  of Birds at any time 't',nt = 31500.5 + 20.5 e-0.042t

Q: Find the terms through degree 4 of the Maclaurin series of f(x) = e* sinx. Use multiplication and…

A: Given: The function is f(x)=exsinx. The Maclaurin series is defined as,…

Q: For the given cost function C(x) = 14400 + 300x + x², = First, find the average cost function. Use…

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Q: What is the kernel function of a Laplace transform? O exponential function transcendental function…

A: We need to write down the correct option .

Q: Consider the following acceleration a = a=32, v(0) = 10, s(0)=6 , initial velocity, and initial…

A: formula used  a=dvdt∫xndx=xn+1n+1+c

Q: Question Find the derivative of f(x) = √√5x¹ + 2x +2.

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Q: Find the radius of convergence and interval of convergence of the power series Σ n=0 n(n + 1) xn 4n

A: The given series is: ∑n=0∞ n(n+1)xn4n

Q: 2) Draw an expansion path in which it becomes cheaper for a firm to use K as it gets bigger.

A: We know that the production function of the firm: q=f(x,y) which gives us the isoquant map of the…

Q: COS(X) sec(x) = tan(x) sin(x)

A: Given; 1/cos(x) - 1/sec(x) = tan(x)sin(x).

Q: Your velocity is v(t) = ln(t² + 1) ft/sec for t in seconds, 0 ≤ t ≤ 4. Find the distance traveled…

A: Given :vt=lnt2+1

Q: 1 Find the derivative the long way, using the limit of Ax as Ax->00,

A: To find the derivative

Q: (c) Using results in part (b), show that the minimum distance is |(ba). (d₁ × d₂)| ||d₁ x d₂|| M =…

A: Let p1 and p2 be two skew lines with equations…

Q: Find the Taylor series Σ n=0 f(n) (9) = R = for f centered at 9 if (-1)^n! 3^(n + 2) What is the…

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Q: Find 24 dA, dA, z²+1 Round your answer to four decimal places. R= [0,4] x [-1,1]

A: Here, we need to find the following. Now,…

Q: Show that the function f(x) = x + 5x + 3 has exactly one zero in the interval [-1, 0]. Which theorem…

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Q: Given that [ f(x) dx 19 7 ) what is [ 14 14 f(x) dx?

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Q: 3. 1+x 1+x² dx

A: Topic = Integration

Q: 비빅 TL 8. Sise 4 secxtanxdx

A: secx=1cosxtanx=sinxcosxsecxtanx=1cosx×sinxcosx=sinxcos2x

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: Find the general solution of the following ODE. y(4)−4y′′=0 Fill in the banks: y= c1+ c2(__) _…

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Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = xe-5x, a =…

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Q: Write the expression in rectangular form x + yi and in exponential form rei {cos 7π 18 + i sin 7π 18…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -170 feet per…

A: Given query is to find the height of the roof.

Q: Consider the function f(x) = = 8 x² 10 190/2 5 x6 Let F(x) be the antiderivative of f(x) with F(1) =…

A: Topic = Integration

Q: Find the laplace transform of f(t) = 3t5 - 5e²t + 10 sin 4t OF (s) OF (s) = OF (s) = OF (s) OF (s)…

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Q: 1 7 dx x ln(3x)

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Q: If there is more than one solution, use a comma to separate your answers. Express your answer(s) in…

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Q: f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima of f…

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Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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Q: A cylindral drill with radius 2 cm is used to bore a hole through the center of a sphere with radius…

A: Volume of ring =Volume of sphere-Volume of cylinder

Q: Draw the graph of y = 4*, then use it to draw the graph of y= log4(x). y

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Q: The line tangent to the graph of g(x)=³-4x+1 at the point (2, 1) is given by the formula These…

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Q: The system of differential equations : has the solution Y = where (in increasing order λ₁ < X₂ <A3):…

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = log4(x2 - 1)

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Q: 6. If f f(x) dx = 10 and ₁ g(x) dx = 6, then [2f(x) - 3g(x)]dx is

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Q: 2.2 Given f(x) dx = 10 and ſº g(x) dx = −2, evaluate [g(x) = f(x)] dx b. [f(x) + g(x)] dx ₂2g(x) dx…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) √ (2x² + 3 + 2²-1) dx…

A: Given integral:- ∫2x2+3+2x2+1dx

Q: 9. Evaluate dt 3t+1

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Q: Consider the function f(x) = = 10 8 x3 x6 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: 3) Draw a set of short run average cost curves and marginal cost curves in which the marginal…

A: Given: Set of short-run average cost curves Marginal cost curves And the marginal product of the…