8,x<0 f(x)= {ax+b, 0

Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-3 X→-1 a. Find lim f(x) or…

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Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: QUESTION 8 Write the given iterated integral as an iterated integral with the order of integration…

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Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

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Q: 4. Evaluate the iterated integral by converting to polar coordinates. (a) f(x² + y²) dydk 0 (b)…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: dx √√x + ³√x X

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Q: let fx= 2x^3-x^2-12x+1 find the critical numbers of fx, determine the location of the relative…

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Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).

Q: If it cost $10 to fill a gas tank in 1990, how much would it have cost to fill the same tank in…

A: Here we will calculate the price in 2000,

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: 6) Find the value of cot t if cos t = a) O b) O c) O 2 d) 0 1 Previous Page 6 of 8 Next -and T < t <…

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Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: Given equation represent 3 Dimensions or R^3

Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

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Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: Find the general solution of the differential equation. dy dx y=0 -7y

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Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Extra / 2 به (x۰ -5 ) + 1x -x*) 4

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Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: 1 4. First, make a substitution and then use integration by parts to evaluate [Hint: Use the fact…

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Q: Which of the following pair of vectors have the same direction? Select one: O a = a = -i - 2j + 2k…

A: We have to find vector having same direction

Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: Minimizing surface area. Open Air Waste Management is designing a rectangular construction dumpster…

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Q: Determine t'(x) if t(x) = 7(3*). Select the correct answer below: O t'(x) = 7(3³) O t'(x) = 3' ln x…

A: We know that t(x)=7(3x)

Q: Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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Q: • We have 3 tan ³ = 3 O What's the value of Explain in detail 0?

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Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: 1. Solve the following linear differential equations with constant coefficients: (i) (D² - 2D + 1) y…

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Q: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

A: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

Q: 32. a) Determine the vector equation of the line of intersection of these 2 plane (1) x + 2y + 2z =…

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

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

Q: Find the general or particular solution, as indicated, for the following differential equation. dy y…

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Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

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Q: Solve the system of equations by any method. 5x +9y = 15 x 2y = 4 Enter the exact answer as an…

A: We have to find value of x&amp;y

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: To produce x units of a religious medal costs C(x)=15x + 112. The revenue is R(x)=31x. Both cost and…

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Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

Q: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: If a = 2j and b Select one: True False 4k, then a b = 8. ●

A: