Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

Q: Determine the real values of a, b, and c for the quadratic function Ax) = ax + bx+c, a +0 that…

A: Here we have to determine the real values of a, b, and c for the quadratic function f(x)=ax2+bx+c…

Q: aph the function g(x) = x* + 2, if x < 1 Is the function continuous? Explain. x +2, if x 2 1

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Q: 6x 60. Find all local extreme values of f(x) The FIRST local extreme value, moving from left to…

A: Given that a function and we find the value of extreme local maxima and local minima.     Here i…

Q: dx /1 + 6x²

A: We have to find integration.

Q: dx 4 XVx - 4

A: We need to find the solution for the given  integral by trigonometric substitution.

Q: For the linear transformation T: R* - R, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0,…

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Q: Find the work done by the force field F(x, y, z) = xy i+ yzj+xzk on a particle that moves along the…

A: Solution is given below:

Q: A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and…

A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: Evaluate the double integral over the rectangular region R.R. ∬R7xy3dA;∬R7xy3d⁢A⁢; R={(x,y):…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 sts 1. 3у?) dy

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Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. ii.…

A: Given data÷

Q: 3. Find the area, take the elements of the area parallel to the x-axis. y= 2x°- 3x-9x; y =…

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Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

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Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and…

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Q: Find the derivative. ( cos ft dt x10 COS^/

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

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Q: Find the limit. lim (t i - 7 j+ 1? k) t→3 lim (t i – 7 j+² k) = i+ j+ k i i i

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Q: An object moves with velocity as given in the graph below (in ft/s How far did the object travel…

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Q: Use Green's theorem to calculate.(2x³ – y*)dx + (x³ +y*)dy, where C is the boundary of the annular…

A: Apply greens theorem

Q: Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

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Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

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Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

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Q: Confirm that the force field F = xy'i+ x²yj is conservative in some open connected region containing…

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Q: encourage new members a bank offers a savings account of 2.4% interest mpounded monthly provided new…

A: We will determine the account value after 10 years.

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: Find the area of tge region bounded by the loop of y^2 = x(5-x)^2 -about plane area, complete…

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Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that q : D → R is a function…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use dx x(In(x?))5

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Q: 4. x = VI - i , y = t³ – 3t

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Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: what is 2x2

A: 2×2= 4

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt 0.

A: this is a problem related to vector integration. Based on the general formula and concepts we will…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Here we will find all the quantities one by one,

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: Find your answer below

Q: Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t…

A: The derivative is defined as an instantaneous rate of change at a given point. g(t) gives total…

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? Integration of…

A: Given ∫x dx9+x2

Q: Does the following graph represent a function that satisfies the following condition f0) = -2, lim…

A: Topic:- calculus

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 5. x = 1-, y = 6 – 7+

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Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: Solution is given below:

Q: . Find f 6x5-25x*+8x3 +43x2-8x-12 (3x-11x3+9x2-11x+6)(9x2+12x+16) dx if this can be reduced to…

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Q: Given k(t)=log_2.4(t+1.6)−3.7 The 3 starting points you would use would be:    . Round answers to 4…

A: Given : K(t) = log2.4(t + 1.6) - 3.7 Basic Function : y = log2.4 t The 3 starting points you would…

Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by

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Q: Find T(t) and N(t) at the given point. r(t) = 10 cos(t)i + 10 sin(t)j + tk; t = 2 TE) -| 6) =

A: we have to find unit tangent vector and normal vector.

Q: 1

A: In game theory , the battle of the sexes ( BoS ) is a two player coordination game that also…