The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to make F(0)=0? 2 4 4.

Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: sinx sinx +x The integral / COSx - e te e sinr equal to zero. Evaluate m +n+p+q+r. dx may be written...

A: We will solve the integral and find the sum. 

Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: Find the derivative of f(x, y) = e*y + eY at the point (1,3) in the direction of the vector

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Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

Q: 1. tan(8) cos(8)

A: Given query is to simplify the expression  

Q: The equation 2ydx + (3y– 2x)dy = 0 has an integrating factor equal to: O y O y^(-1) O y^(-2) O y^2

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Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: In a world where people's happiness is the product of the square of the amount of one's food which c...

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Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + x...

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw d...

A: Given query is to find the indicated derivative.

Q: b -x" + -xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be writ...

A: Explained below 

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: Sin/cos

A: Given query is to simplify the expression.

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

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Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x + 2...

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Q: sinx sinx +x Cosx - e +e The integral / dx may be written as me' ,nsinx + рx + qe^ + C, e sinx where...

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

Q: 26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, ...

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Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: 2x+ 17 3.5 dx x* +6 4. ſ cot63x dx

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Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: Consider

A: Please refer to the image below

Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

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Q: Your are driving away from New York. Your distance​ (in miles) away from New York x hours after​ 1...

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: We have to find maximum profit so we find first derivative

Q: Find the equations of planes that just touch the sphere (x – 5)2 + (y – 3)² + (z – 5)² = 9 and are p...

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: True or False: By the partial fraction decomposition, we should write 5x + 2 A В + х2 +x — 12 х — 3 ...

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: Find the goneral Solution: HW auswr メピー=C

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Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

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Q: Find a general solution for y in terms of x that satisfies the first-order linear differential equat...

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Q: Show whether each of the following series diverges at the end-point (s) of the interval of convergen...

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Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

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Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

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Q: Use the Integral Test to determine if the serie 1 Σ (n+ 2)°/¾ n=1 converges or diverges.

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Q: 28. A particle moves along the curve y = 3x2 +1 in such a way that the y value is increasing at the ...

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Q: The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back ...

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Q: The integral cosx -e sinx teSinx + dy may be written as mensinx pr t gerx C, where m, n, p, q, r, an...

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.