Determine if y=5 cos x and x=31²-5t+3 dx

Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…

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A: Integration is the area between the curve and x-axis.

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Q: Evaluate the iterated integral. - y² I. L (x + y) dx dy

A: Take integration

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Q: a²z a²z Determine + Ər² მ02 if_z = tan-¹ Ө - r + r r²+0²

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: Find the derivative of f(x) = ecos² (3x+1) Of(z) 6 sin(3r+1) cos(3x + 1)ecos² (3+1) O (E) None of…

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Q: Emma thinks that three lines cannot be simultaneously perpendicular to each other. What can Emma's…

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Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…

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Q: Find the laplace transform of ƒ (t) = 2t² + 4t – 5 OF (s) = 5s5+484+4s³ 86 OF (s) -58²-4s+4 83 OF…

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Q: 6. The graph off consists of line segments and a semicircle, as shown in the figure. Evaluate each…

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Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: 3. (2 + y² + xy2) dx + (x²y + y + 2xy)dy = 0

A: As per the guidelines I can solve only one question

Q: Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

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Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: Direction: Provide a complete solution when necessary. A. Solve the following Systems of Non-Linear…

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Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: Use the formula k(t) k(t) = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t³j to find k(t).

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Q: A Cessna plane takes off from an airport at sea level and its altitude (in feet) at time t (in…

A: Given: ht=2000lnt+1 Rate of climb will be rate of change of height i.e. dhdt

Q: You are given the following graph of the function f(x): 4 1.0 -5 #1 -10 Find the point where the…

A: Given question:- Find the point where the second derivative changes sign from negative to positive.

Q: The height above the ground (in meters) of a person on a Ferris wheel as a function of the angle…

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Q: Question If a brick is dropped from a height of 40 ft., its position after t seconds is given by the…

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Q: Find d² y dx² for x³ + y³ = 2 43

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: 4x+10 1. S (x-2)(x-1)² dx

A: Given integral ∫4x+10(x-2)2(x-1)2  dx

Q: How to determine whether the function is continuous or not at a given point x = a ? x ≤ 1 (3x5 - 1…

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Q: 2. (4x³-3)dx

A: Let's find.

Q: y=x√3-2x³

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Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

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Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 6x²y²j

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Q: 1 A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved…

A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Q: 38. a10-49.5, a14 = -73.5

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Q: Define a weakly quasi-concave on a Cobb-Douglas Function

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Q: Question Find the differential dy of the function y = -2 cos (6x). Provide your answer below: dy=dx…

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Q: 8. teyty dy

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Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: The function given is the population change per year of bald eagles in America P'(t) = 0.21t²…

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Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Q: INSTRUCTION: Prove or disprove 1. 3x-5 = is bijective. 2x+1 Show that f: R-{-}→R-{} defined by f(x):

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſo f(x)dx = 4.…

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Q: The sec√x dx is {A}=sec x³/2 + C {B} ²sec ³/2x + C 3 {C} 2 In sec √x + tan √x {D} In sec √x + tan √x…

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Q: 6. 22x+x dx

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Q: b) Determine whether the series n=1 find its sum. Show All Your Work! n-l is convergent or…

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Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: Suppose that the daily sales (in dollars) t days after the end of an advertising campaign are given…

A: This question is based on function increasing and decreasing.

Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

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