Evaluate the following integral. 498. (e+e-ª) dx

Q: x²+3x-130 lim 2 x-10 x²-100

A: L=limx→10x2+3x−130x2−100

Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: Evaluate the integral: - 20 √2²√2² + 64 x²₁ dx (A) Which trig substitution is correct for this…

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Q: Find all relative extrema. Use the Second-Derivative Test where applicable. (If an answer does not…

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Q: Find the area between the curves f(x): 3x² 12 (in dark blue) and g(x) = -x² + 4 (in dark red) over…

A: Region is bounded by f(x)=3x2−12 and g(x)=−x2+4 over the interval [−3,3]

Q: Use a half-angle formula to find the exact value of tan 112.5°. tan 112.5° = √2 21 2 16 X 5

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Q: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

A: The function f determine the cost of a new Honda accord in term of the number of years T since 2000.…

Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: * Find the general Solution of :- - dy dx = 3 Sec X

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: we are given the marginal cost function and we need to find out the total cost of producing 680…

Q: Des the sequence faf converge if the Sequence is convergent. OL or a₁ = 1 + (-1)^ diverge? find the…

A: Oscillatory sequence : An Oscillatory sequence is a sequence where the terms of sequence repeats…

Q: Theorem 4.13. Suppose that f is continuous on the closed interval I and has a derivative at each…

A: use the mean value theorem to prove the questions

Q: 2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all…

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Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: Multiply both sides by (x² + 1)² and combine like terms. x² + 6x + 1 = (Ax + B)(x² + 1) + Cx + D =…

A: The given equation

Q: n's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy C wen path. : boundary of the…

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Q: The cost of laying a fibre optic cable underwater is 3 times that of underground. An island is 4 km…

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Q: Set up the integral that computes the volume of the region W in R³ bounded by the surfaces z = 0, x…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: elow, we see a region bounded by two curves. (graph not necessarily to scale)

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Q: 1. With a programmable calculator (or a computer), it is possible to evaluate the expressions for…

A: Given that the region under the curve  from The right endpoint sum

Q: Solve a Consumers' or Producers' Surplus Problem. A sports watch has a price-demand equation given…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

A: The given equation is .The aim is to solve the given equation.

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Find the local maximum of f(x,y) = xy(1-x-y) Find the critical point(s) and check the value of D = f…

A: given function

Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

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Q: eral Antiderivative) Evaluate the following indefinite integral: πχ' cos (x³) dx

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Q: The graph of a function f is given. -1 I 0 1 f Consider the integral I when answering the following…

A: To find the right end sum, left end sum and midpoint sum.

Q: Hello please help solve this calculus problem attached down below.

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Q: Substitute the expressions from the previous steps. Then substitute (x, y) = (1, 1) and solve for dy…

A: To find the slope of the tangent line to the curve  at the point .

Q: Consider the function f(x) below. Over what interval(s) is the function concave up? Give your answer…

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Q: Find the general Solution For D-E cosy dx + (x Siny - 1) dy =o

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Q: Consider the following function and given interval. f(x) = 2√x, [4, 9] Is f(x) continuous on the…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (0, 6) for…

A: Maxima and minima

Q: Find the total-cost function, C, assuming that C(x) is in dollars and that the total cost of…

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Q: While on Casey's computer, you notice that a model for a recent experiment is completed. The model…

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Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: F₁ = (e + sin(y), xe" - 2y)

A: We have to check whether the given vector field is conservative.

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Solve the following integration :- S [ 5 Cos x dx

A: we need to find the integration.

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 1-4 A) lim 2/2+1 B) lim x-0 Question 4.22)…

A: a) limx-infinity x[arc(tanx)-pi/2]According to Bartleby guidelines we solve only one question repost…

Q: The vector field F(x, y) = (-y sin(xy), -x sin(xy)) is the gradient vector field of the function…

A: find r(t) at t=2,t=0

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

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Q: Evaluate the Taylor series expansion of degree four for the given function at the specified point.…

A: f(x)=ex/4,a=4A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: If 6400cm2 of material is available to make a box with a square base and an open top, find the…

A: If 6400 cm2 of material is available to make a box with a square base and an open top,then to find…

Q: 6) Show that=1

A:

Q: If f(x)= cos(sinx), find f'(1). 0.2314 1 0 -0.4029

A: The given function is