Let f(x)= = z+1 x³2x² + x

Q: A ball is thrown vertically upward from the ground with an initial velocity of 64 ft/sec. If the…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Solving

Q: compute the surface area of example 9.10.2 by rotating f(x) = √x around the x-axis

A: Given

Q: f(x) = e²x cos(x) e2

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Q: Consider a triangle ABC like the one below. Suppose that A = 65°, B=55°, and c=40. (The figure is…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t p j+126t2 k, 3≤t≤6

A: r(t)=t3 i +t j+126t2 kdxdt=3t2dydt=1dzdt=252 t3≤t≤6

Q: 2.S x² -4 X -dx

A: Note: Asper company guidelines, we are supposed to answer the first question only. Kindly ask the…

Q: S dx x²-x+1 (x+1)3

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Verify Green's Theorem by evaluating both integrals AN fx2ax+x²&y-LI (x-an) = y2 dx + x2 dy dA ?х ду…

A: We can solve as follows

Q: 3/3 10. Evaluate • 73 (x² +9)3/2 dx

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Q: Calculate the perimeter of each of the following [4] a) a parallelogram quit piece with sides 6%…

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Q: dx 6x + x² V

A: To integrate by using the trigonometric substitution.

Q: solve the differential equation in higher order differential equations complete solution PLEASE…

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Q: answer

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Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: Let f(x) = 3 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x= -1 and…

A: Solve the following

Q: 3*-7* x-0 2-15x d. lim

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled…

A: Given: drdt= 5 m/min To find: dAdt when diameter = 140m Area of a circle with radius r is defined as…

Q: 4. Evaluate lim (cos x)¹/x². x-0

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Q: 1) Find the average value of the function f define by f(x)=√√√49-x²³² On the interval [0, 7] 2) Find…

A: We can use the equation to find average value of a function in an interval.

Q: An airplane leaves City A and flies 144 km due north to City B. It then turns through an angle of…

A: The solution is given in the next step.

Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

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Q: log(is²t) + 1 log; 10 + logn C logn, 10

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: ∫ (1 + secx)2 dx Evaluate indefinite anti-differentiation

A: Solve it

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: Evaluate the integral [₁ F. dr. F(x, y) = (x² + y) i+(6x - cos y) j where Cis the boundary of the…

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Q: x5 (2 – x²) 5 dx

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Q: Determine whether the series is convergent or divergent. arctan 2n n = 1 O convergent O divergent If…

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Q: 3. Solve the following equations by using variation of parameters methods: a) y" - 2y' + y = e* ln x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Calculate[ri(t) r₂(t)] and[r(t) x r₂(t)] first by differentiating the product directly and then by…

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Q: Find the derivative of 83-4 A. 3 ln 8 B. 83x-4 C. D. OA OB OD OC 83-4 ln 8 83x-43 In 8

A: We are authorized to solve only one question, please repost remaining questions Derivative of…

Q: 5 4. What is of 12%? 12 3 5. What is - of 1% ? 4

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Q: Let S be the surface with equation given on the image. a) Write the equation of the traces of S on…

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Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 4- 3 2- ਸੀਨੀ TU…

A: This question is based on Sinusoidal function.

Q: ∫ sinx √cosx dx

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Q: Scos2x (2 2 Cos 2X (2 cos 2X -1) dx

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Q: Consider the following. y 4 y=x³ - 2x -2 y = 2x (a) Find the points of intersection of the curves.…

A: This question is based on definite integral.

Q: Recall that the Maclauren series expansion for f(x) is given by f(n) (0) r. Find the Maclauren…

A: The function is given by fx = ex Tp evaluate: The Maclauren series of the function fx.

Q: The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 98e-3p² +…

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Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

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Q: Solve the differential equation y' = x¹y subject to the condition that y = e¹ when x = 0. e4 y(x):…

A: The detailed solution is given below Thank you

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 8 Σ (-3)" w=1

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx = 17 and x terminates in quadrant I.

A: Given that  cos x = 1517 and x terminates in quadrant I. We have to find  sin 2x, cos 2x, and tan…