Find (any way you want) the integral [F.dr, where F = (sin x+2y, x+y²), and C is the triangle with vertices (0, 0), (1, 1) and (2,0) oriented counterclockwise.

Q: Obtain the differential equation of: Circles tangent to the x-axis

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Q: Without using a calculator, for the following, sketch the graph of the polar equation and identify…

A: Follow the procedure given below.

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: (a) an = 5+7n² n+ 3n²

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Q: 4. fxcosxsinxdx by parts

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Q: 1. Find the radius of convergence and interval of convergence for the series n=0 2nx" 3"

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Q: Find the derivative of f(x) = = 4√√x + 2 x7 . Type your answer without fractional or negative…

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Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

Q: Question I The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x…

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Q: If f(x) = 4x² − 6x + 7, find ƒ'( − 1). Use this to find the equation of the tangent line to the…

A: Givenf(x)=4x2-6x+7To find f'(-1) & Equation of tangent line

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A: Solution: Let the radius of hemisphere and cylinder is 'r' and the height of cylinder is 'h' Then,…

Q: 3. y + 4y'+4y=0

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Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: Find the area enclosed by the given parametric curve and the y-axis. sin²(t), y = 8 cos(t) X = y 0.2…

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Q: For the following functions. a. use Equation 3.4 (Text page 217) to find the slope of the tangent…

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Q: We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the…

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

Q: C'(x) = C'(8) = 1 √√2x + 48

A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

Q: B. Find the general solution of each of the following Higher Order LDE with cc 4. (D-4D³ +14D² -…

A: The given differential equation is D4-4D3+14D2-20D+9y=0

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

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Q: (D+2x)(D-3x)

A: Follow the procedure given below.

Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: We can answer the question as below.

Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

A: In this question we have to solve the Integral.

Q: Find the limits. f(x) = x + 4 (a) (b) (c) g(x) = x² lim_ f(x) = X4-5 lim g(x): X-5 = lim g(f(x)) =

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: Without using a calculator, sketch the parametric equations by eliminating the parameter. Indicate…

A: The given parametric equation x=4+2cosθ and y=-1+sinθ

Q: Find the indicated limit by using the limits [f(x, y) = g(x, y)] lim (x,y) → (a, b) Enter an exact…

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Q: Convert the Cartesian coordinate (5,2) to polar coordinates, 0 ≤ 0 < 2π r= Enter exact value. 0 =…

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Q: Question 9. A circular helix in ryz-space has the following parametric equations, where ER. I(0) = 4…

A: Given : x(θ)=4 cosθy(θ)=4sinθz(θ)=3θ

Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: Evaluate the integral by making an appropriate change of variables. 5(x + y) ex² - y² dA, where R is…

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Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

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Q: 2. Find the radius and interval of convergence for the series. (x - 2)" nn n=1

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Q: ( 3x³ - xy² 2 3xy+y dy 3 dx = 1 |

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Q: Reverse the order of integration in order to calculate the following integral: C. S 2 1+x4 dx dy.

A: I have stated the used formulas in the solution

Q: There are 11 identical circles drawn on a sheet of paper. How many ways are there to do each of the…

A: This is a permutation and combinations problem

Q: Find the composite functions (fog) and (g°f). What is the domain of each composite function? (Enter…

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Q: Let A be an 8 x 8 matrix with det(A) = −2. Let B be the matrix that can be obtained by applying the…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: Given, S(t)=60t2t2+150

Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² + 3 and dt Find dy dt dy dt when x = 5. (Simplify…

A: We have to find the derivative

Q: Given f(x)=√x and g(x)=x²-1, evaluate each expression. (a) f(g(1)) (b) g((1)) (c) g((o))

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Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

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Q: 7η + 3η gn Σ΄ n=1

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Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

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Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…

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Q: Find local maximum and minimum values ​​as well as maximum and minimum values ​​for the function.…

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Q: Write a proof to justify the perpendicular bisector method of construction. A B Given: Prove: AB AC…

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