Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA equals D

Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: (xx) 2. 6. 3. 7. 8. 9. 10. 11. 16. 17. 12. 18. 19. 13. 14. 15. To divide a decimal number by 1000,…

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Q: Find the component form of the vector u initial point (3,8,8) terminal point (5,6,10)

A: Initial point of u is (3,8,8)terminal point of u is (5,6,10)

Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: nd the radius of convergence, R, of the series. ∞ (-1)^x" √n n = 1 nd the interval, I, of…

A: We have to find the radius of convergence

Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: Evaluate 1) |x-2|dx

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Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: Show your complete solution: Evaluate the triple integral pl+y² xdtdydx 1-x S S T 2y

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Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Two particles move along a straight line. The first particle, Particle A, travels with a velocity of…

A: Solution is given below:

Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

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Q: Researchers at two universities have developed a piecewise function that can be used to estimate the…

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: Question 2 Find a differential equation whose general solution is y = c₁est + c₂e-2t. 0 2

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A) 7 5 A

A: We have to find the exact value of the trignometric angle A, csc(A)=? Since ABC is right triangle,…

Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve the initial value problem y" + 4y + 4y = 0, y(-1) = 5, y'(−1) = 6. y(t) = =

A: The given initial value problem is y''+4y'+4y=0,  y(-1)=5, y'(-1)=6

Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

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Q: valuate the following double integral over the region R by converting it to an iterated integral. Se…

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Q: Evaluate the indefinite integral f7 sin v cos vdv =

A: Given ∫7sin6v cosv dvTo evaluate the integral:

Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: Solve the given initial-value problem. y(x) = y" + 6y'7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11e2x 7e…

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Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

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Q: If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)? Do not include "g′(−6)=" in your answer. For example,…

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Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

Q: Simplify the following witfacet casing the conjugates of the debominator 1-) 25 3+4i

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: It is possible to rewrite the expression as xa A=-2/7 B=-5/7 xb x9 where q is a constant. Perform…

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Q: The vector v and it's initial point is given find terminal point v=, initial point (-7,-8)

A: In this question we have to find terminal point.

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) tim-al-ca (2) lim, x(tan"¹x-x)

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Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: Question 5 Test the series below for convergence using the Root Test. 5)₁ ∞ n=1 f(n): 3n 6n + 5 The…

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Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x

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Q: Solve the initial value problem 25y" — 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t): How does the…

A: We can solve this as follows:

Q: 7. Use the Method of Lagrange Multipliers to find the extrema value of a function f(x, y, z) = 2x² +…

A: Concept: Lagrange multipliers: A straightforward and elegant technique for determining the local…

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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