Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and P₁23(1.5)=4.

Q: find the general solution (x + yex) dx-xexdy=0

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Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

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Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: La longitud de un rectángulo es tres veces su ancho. Si el perímetro del rectángulo es 72 in, ¿cuál…

A: Length of rectangle be l

Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

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Q: Use a fixed-point iteration method to determine a solution accurate to within 10-2 forx-3x²-3=0 on…

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Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

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Q: SOLVE THE EQUATION X = ex-1

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Q: Simplify:- 16--// 5 2

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Q: S²³ x² e ²x ly and numerically. For the luations use (a) single application of I rule; Compute…

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Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: 1 Use the identity sin²x = to obtain the Maclaurin series for sin² r. Then differentiate this series…

A: Here is the step by step solution of ques 4.

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

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: Find the area enclosed by the loop of the curve y² = x (x - 1) ². Consider the attached graph.

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Q: The reverse order of 2 2 1 Jo Jy x 1 sinx cos dxdy is sinx cos dydx False True O

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: Integrate the function So x² e ²x 2x both analytically and numerically. For the numerical…

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Q: 3. (x + y − 1)dx + (y-x-5)dy=0igant bas ins

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Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x/4 + 4  and g(x) = −2x/3 − 4 The region R in interval of [1, 4]

Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: Which of the following is FALSE? A. integrate f(x) dx from b to a = - integrate f(x) dx from a to b…

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Q: Q22. determine the family of curves that is orthogonal to the family Zy²+3x²=X when z > O and yea.…

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Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region…

A: Let's solve given double integral.

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: solve 2x+1 = x2

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Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

A: The given integrals are;  g) (x2-2x+1)e2x h) x3ex.

Q: 2 S Sec'x In cotx) dx

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Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral

Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: find the are 2y² + 3x² = K family of orthoganał to the when κ>0 y >0. choose your answer from the…

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Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

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Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

Q: Refer to the functions fand g and evaluate the function for the given value of x. Select "Undefined"…

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Q: True or False: The definite integral 2 Lux+ is equal to Select one: O True O False (x + 3e*)dx 2 2…

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Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Since, you have posted question with multiparts. As per guidelines, we"ll solve only first three…

Q: b. The formula A(t) = 19.6e0.0138 models the population, A(t), of a US state in millions, t years…

A: Given: At=19.6e0.0138twhere At denotes the population in a US state in millions, t years afterthe…

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

A: Given:      fx=x+1x interval is 1,6 There are two criteria for the Mean Value Theorem to be valid.…