19) Evaluate the double integral for f(x, y) = 2y+x over the rectangle region R defined by 3 ≤ x ≤ 4 and 1 ≤ y ≤ 2

Q: If f(x) f'(2) = [name] cos – 6 tan ™, then

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Q: Find the area under the given curve over the indicated interval. y=x²; [0,5] The area under the…

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A: The graph of the f'(x) is given as

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A: Solution: Given equation: f(l) = 700 +471log2(l)

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: Lim 1+7 2+72-27-67 + 8 - 2t4 + 1

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Q: Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x…

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Q: 4 e) y = (2x + 5)

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Q: The graph of a function f is given below. According to the graph, the derivative of the function f…

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Q: Use substitution to find the indefinite integral. 16t-8t² dt (1-1) e 16t- ... Describe the most…

A: Solve the following

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. lim F(x) lim…

A: We have to find the limit

Q: Find an equation of the curve. The tangent line to the curve at the point (1,2) also passes through…

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Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

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Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

A: This question is based on function and limits

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: If f(w) = e f'(w) = sin w+ 4 cos w find f'(w). Use exact values. J

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Q: Using Rationalizing Substitution · √ √x + 10 x+2√x +In(√√x-1)² +C °√x (√x + 4) + In (√x - 1)² +C…

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Q: Find the Cartesian form of the polar equation r = −6 sin θ

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Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: We have to find volume about y=-1

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: Find the average value of the function f(x)=x²-9 on [0,9]. The average value of the function…

A: Use the average value formula for finding the value

Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 5. -9.763332111 is a Whole number. True false 6. (0.01) 365 > (1.00) 365 True false 7. (2²²)⁰+ (2⁰…

A: 5. Given , -9.76332111 we need to say wether given number is a whole number or not definition of…

Q: b) lim x²-25 X-4 X+5

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Q: The volume of the solid generated by revolving the region bounded by y = 2x - x² and (5a+1)π y = 0…

A: Volume

Q: 729 dx "Son √x - √√x" 64 Using Rationalizing Substitution a=2, b=3 a=8,b=27 a=64, b=729 a=4, b=9 =…

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Q: IF y = u+ + 3u2 & u = 2x Find dx

A: Chain Rule of differentiation : If y=f(u) and u= g(x) , then         dydx =dydu.dudx

Q: 10- 7-12√ 3 √√9 А. 3 B. V3 О А о B О с D 11 С. 1 D-I

A: We have to find the value of given expression.   According to our guidelines we can solve only one…

Q: In each item, set up an iterated double integral that gives the volume of the solid described. (a) a…

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Q: In Exercises 1-3, find the solution of the given IVP. 1. d²y dy +4 dt² dt 5y = 0 2. y(0) = 11, y'(0)…

A: Please re-upload the other two questions.

Q: 8- The simple expression of the 21 a b c 3a³b²c² is

A: Given,  21a-3b5c83a5b-2c7

Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: (a) Find a simplified form of the difference quotient and (b) complete the following table.…

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Q: 1. f(x, y) = 4x² + 2y² + 5 subject to the constraint x² + y² - 2y = 0

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Q: Using Rationalizing Substitution S O Arctan(y) + C Ⓒ2Arctan(y) + C O In(y) + C O2ln(y) + C dx X√√x-1…

A: The integral is  ∫ dxxx-1=∫f(y)dy

Q: X f(x) Using "Newton's progressive method from table below, the approximate value of the function…

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Q: What are intervals of concavity of the function f(x) = 2x³ 2x³ - 6x² - 3 ? Concave upward on (-1,…

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Q: What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: -28 5. How is can be express as rational number with numerated the number 47 84 O 4/7 O-4/12 - 4/7…

A: Given query is to re write the expression as numerator with 4.

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 e…

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Q: In 1-21, use the definition of an improper integral to evaluate the given integral. 5 2. S dx…

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