Differentiate the following with respect to x using appropriate rule  1) (2-5x)^ 3/2 2) 2x^3 cos 3x 3) 2x+1 / 3x-4

Q: the trigonometric equati- sin (20) cos(0) = 0

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: We have to find the limit.

Q: Find the minimum value of  z =x2 + y2 subject to the condition  x + y = 18.

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Q: Subject: calculus

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Q: 1 cot-¹(-√3)

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Q: Find the area between f(x)=x2−25 and the​ x-axis from x=0 to x=6.

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Q: 5 + 3 2 1 Find the area under the curve y = 4 X over the interval [1, 5].

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Q: csct y' (t) = 1, y (³7) = −3

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Q: 3 x²+2x+5 dx - 5 y²-4y+10 dy = 0

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Q: Given the demand function D(p)=400-4p^2. Find the elasticity of demand at a price of $8.

A: We need to find elasticity of demand.

Q: 2 cos²(0)+ 9 cos(0) + 4 = 0

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 2x3/2…

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Q: The shaded region shown below is bounded by the functions f(x)= x² +1.25x + 5 and g(x) = x + 2 and…

A: To find out the area of the shaded region.

Q: You are given the four points in the plane A = (0,5), B= (5,-2), C=(8,5), and D=(12,-5). The graph…

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Q: Find the cross derivative of f(x,y) = sin(x³y)

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Q: If the 100th term of an arithmetic sequence is 509, and its common difference is 5, then its first…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³9x² - 21x + 3 Find…

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Q: For a particular object, a(t) = 4t² +7 and v(0) = 6. Find v(t).

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Q: Find the values of a and b such that the function defined by x³ - 27 x - 3 f(x) = = bx + 1 2x - 1 s…

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Q: Problem 2. Find the volume of the solid generated by revolving the region bounded by y=√x, y=0, and…

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Q: Use implicit differentiation to find az/ax and az/ay. x² + 4y² + 9z² = 2 əz əx ||

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Q: Assume x and y are functions of t. Evaluate dy dt (Type an exact answer in simplified form.) for 3xe…

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Q: Q.1 Determine whether the scatter plot could be best modeled with a linear model, a quadratic model,…

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Q: A store rents movies. If the rental fee is $4 each, the store knows they can rent 60 movies per…

A: Solving the following problem

Q: Find all horizontal and vertical asymptotes of the function √16x² + 1 x² f(x)= x²16 x +4

A: f(x) = [√(16x^2+1) x2]/[(x2-16)(x+4)].

Q: 0 (24t23)i + 8t +² +1 -k dt √²+1

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Q: 1 1 x Σ (-1)^x", Ixl < 1 M = 0

A: We know that the power series formula 1/(1+x)= sum_n=0^infinity (-x)^n

Q: Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 4]. 8…

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Q: ∞ Σ(−1)n+1 n+1 In n n=1 n

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Q: 2. Find a power series representation for f(x) correct to 6 decimal places. 0.1 602; = X 1+x³ x…

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Q: Evaluate the double integral f, xydA, where region D is boun line y = 1, x = 2 and y = x.

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Q: Determine the area of the region bounded by the curves y = x² and y = 2x + 3. Sketch the curves, s

A: The region bounded by the curves y=x2 and y=2x+3 Interesection point…

Q: u' (x) = e6x-5u

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Q: 2s L-1 ¹1 { (8² + + 1)²} Find C-1 1 { + D)}} without using partial fractions. s(s+1)

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Q: The plane that passes through the point (5, 4, −2) and is perpendicular to both 4x + 2z = −20 and 4x…

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Q: 50. A hospital is located 3 miles west and 4 miles north of the center of town. Suppose that a…

A: A parametric equation :is an equation where the variables (usually x and y) are expressed in terms…

Q: 1. Maintenance costs for a building generally increase as the building gets older. From past…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q²-0.6q+600. The…

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Q: Book Problem 36 A particle is moving with acceleration a(t) = 24t + 18. its position at time t = 0…

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Q: Suppose that P-3.12x² +1.5y2-0.08x³ -0.01y tons is the production function for a product with x…

A: P=3.12x2+1.5y2-0.08x3-0.01y3

Q: ℗ Do Homework - Section 3.11- Profile 1 - Microsoft Edge…

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Q: A certain breed of mouse was introduced onto a small island with an initial population of 220 mice,…

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Q: 70. a(t) = t² − 4t+6, s(0)=0, s(1) = 20

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Q: Find an equation of a plane containing the three points (2, -1, -5), (0, -6, -4), (0, -5, -2) in…

A: Given three points and the coefficient of x (-11) in the equation of plane.

Q: Use the power series 1 1 + x = (-1)^x", Ixl < 1 n = 0 to find a power series for the function,…

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Q: (d) Intervals where the graph of f is increasing, decreasing, concave up and concave down. Use a…

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Q: If x³ + y³ = 37, find the value of d²y 2 dx at the point (-3,4).

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Q: An auditorium with a flat floor has a large screen on one wall. The lower edge of the screen is 4 ft…

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Q: 90e-0.1t hilligrams of the drug remain in the patient's bloodstream after 2 hours? (Round your…

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Q: Let h(x) = -4+ex +1.

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