Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

Q: 30. Find the area bounded by the curve 5y²=16x and the curve y²=8x-24. A. 36 B. 25 C. 16 D. 14

A: Topic = Area

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

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Q: B-Find the area of the region inside the curve 1+cos@ and outside the curve -1 and graph the two…

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Q: 5 1 3 √x² – 9 S dx

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Q: 27. Consider the function h(x) = 2x² e-x² a) In two or three steps, write the properly simplified…

A: As per our guidelines, we are supposed to solve only 3 subparts. Kindly post other parts in the next…

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

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

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Q: :.S •√ √x(x² – 3x + 2)dx

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Q: 1 (x-2) +- -(x - 2)²_ -(x-2)³ +...+ 25 1 125 1. Given the series 1- 1 —— (a) For what values of x,…

A: Solve the given series as following:-

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: We want to use the Alternating Series Test to determine if the series: Σ (-1)²+1 k=1 converges or…

A: Given series ∑k=1∞  (-1)2k+1 k3k7+17

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is (b) The indefinite integral…

A: Solving the question by finding the value of the problem.

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

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Q: y' = x - 4xy

A: We have to find solution of differential equation.

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

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Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: The z-transform of [n] = u[-n] is

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Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

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A: topic - compound interest

Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

Q: 4T (2n)-T(n) 4. Use Simpson's rule to approximate I'v = 3 2x3³ +23dx with S(40). Use the formula…

A: ​

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: Use the graph to determine whether each statement is tru lim f(x) exists. x → -3 -5 -4 -3 -2 -1 -1…

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Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: Set up, but do not evaluate, an integral that represents the length of the parametric curve Select…

A: Application of integration

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: B-Find the area of the region inside the curve r-1+cose and outside the curve -1 and graph the two…

A: Equate both equations to find limits and intersecting points of these curves

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A: We have to find relative maxima and minima.

Q: The determinant for the following matrix is [511] L4 2 O C 10 2

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Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two…

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Q: Determine whether each set equipped with the given operations is a vector space. For those that are…

A: We have to choose the correct option from given options.

Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

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Q: 1 A = 1 1 * The Eigen values of the matrix 0 1 1 10 1. 1 10 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0-12

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Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53