Which of the following is an antiderivative of f (x) = 52 ? O (In5)52 – 1 52 +3 In5 52 2ln5 1. (52+1)+6 2ln5 O None of these

Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

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Q: A manufacturer has a steady annual demand for 15,190 cases of sugar. It costs $5 to store 1 case for…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: x f(p)%3D5110-5p-0.3p" (A) p 15 (C) p 80 (B) p 70

A: Given :     Elasticity

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: So 3a (a + 4) dx = 5120 Select one: O True O False

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: Please

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Q: The general solution of the differential equation dy/dx = 12x is y = 4x° + C. %3D Select one: O True…

A: topic- differential equation

Q: Solve the following differential equations of 1 x’y" – 2xy' – 4y =

A: To find the solution of given differential equation.

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A: topic- differential equations

Q: x³dx is equivalent to Using trigonometric substitution,

A: Given,  ∫ x3x2-4dx

Q: Solve using Gauss-Jordan elimination. 4x1 - 7x2 - 5x3 = 41 X1 - 3x2 = 14 Write the system of…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: QUESTION 6 Refer to the graph below. When the price of a product is P2, then the consumer surplus…

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Q: Evaluate the integral (12x + 15y)dx + (24x – y)dy along the paraboli arc y = x from (0,0) to (1,1).…

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Q: Use substitution to find the Taylor series at x 0 of the function 4 sin (-x). Choose the correct…

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: Find V. (V x F), if F(x, y, z) = 7e**i+ 8xej – 3elk.

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Q: QUESTION 10 Suppose the demand function D(x) = - 3x+7 and supply function S(x) =2x+2. Find producer…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: Green's theorem states that for  counterclockwise direction∮CPdx+Qdy=∬R∂P∂y-∂Q∂xdxdy

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

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Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

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Q: Find the general solution of the following differential equation. y''' +y'' + 3y' −5y = 0 [Hint:…

A: Use the auxiliary equation for finding the other roots and general solution.

Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

A: I am attaching image so that you understand each and every step.

Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: Given :

Q: QUESTION 13 nd all possible corner points of the feasible region described by the following system…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: Given graph,

Q: Find the points on the surface 1x^2+2y^2+5z^2=1 at which the tangent plane is parallel to the plane…

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Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: y = sec?(x), 0s

A: Here is the solution

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

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Q: L (7+ 4)(x + 3)dæ = 74/3 %3D Select one: O True O False

A: The given integral,       ∫-11x+4x+3dx=743

Q: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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