f I. Evaluate tan 2x dx

Q: (2x²² +ex) dx + (x² + 1) = "² dy (x²-y) dx x dy

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Q: Answer the question in the space provided and in full details. . Answer in complete sentences, with…

A: The triangle law of the addition of vectors states that two vectors can be added together by placing…

Q: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

Q: af Find and ax af Jy f(x,y) = e⁹xy In (3y) 11 for the following function.

A: To find the partial derivative.

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

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Q: Find the integral offsec²x dx tan x

A: This is a problem related to integration. based on the general formula and concepts we will answer…

Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: The power P in watts delivered to a small light bulb and R is its resistance in Ohms. The current is…

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Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: A parabola has an equation of y - 3x = 0. Compute for the surface area of the solid generated by…

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Q: For each graph, choose the function that best describes it. (a) (b) (Choose one) (Choose one)…

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY: y= x^2+1, x=0, y=0, and x=2…

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Q: 6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x=-1, x = 2.

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Q: √x³√1-x² 2

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Q: Using Wallis formula, find the integral of the expression. Answer in 5 decimal places (example…

A: We will use Wallis integral formula to solve this question.

Q: Find the area bounded by: x = y2 and y = - x2

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Q: Using Wallis formula, find the integral of the expression. Answer in fraction form, no units, no…

A: We have to find out the integral

Q: Use substitution to find the indefinite integral. Spip +31' ep Spip +31% op

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Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the given…

A: First we should recognise the small volume dv and then integrate it between the appropriate limits.

Q: 3√3 dx √3 x² √√x² +9 2

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Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

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Q: A cubic block of ice whose side is 2 inches long is melting at a rate of 1 in^3 per minute. How fast…

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Q: 10 = (+5x)dx 45x+9 -1 7/4 52 (+9) + 48 (x+g)' f(x+9) + 2

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Q: 1. f(t) = (t5+t) (t³ - 4t+1) 2. g(x) = (+1)(3x - 1) 3. h(x)=¹

A: Topic:- function

Q: Find the volume of solid generated by revolving the area enclosed by: y = x2 +1 , x = 0, y = 0 and x…

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Q: 2 2 dx 2x (V2x + 9)

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Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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Q: Find the volume of the solid under the surface z = × siny that lies above the rectangle R = [0,1] x…

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Q: 12x A company has found that the marginal cost (in thousands of dollars) to produce x central air…

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Q: Given: f(x) = 10-X g(x)=x² + 4x-2 Find and simplify (9°F)

A: Given query is to find indicated composite function.

Q: The Audubon Society at Enormous State University (ESU) is planning its annuel fund-raising…

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Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: Assume that f(x) = 5x + 2 and f is defined on [-1,5). Then f has an absolute maximum value at 5.…

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Q: find the derivative of the funtions: 1. sin (√x Inx) 2. (d2/dx2)(xArctanx)

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Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: 3. F(s) : = s² s4 +16

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Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

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Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 4₁ x3 = 7, x4 = 10, and Ax= 3. 4 (a) Find Σ f(x;) Δx. i=1 (b) The…

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Q: s dx x√√√2x-x²

A: topic - indefinite integral

Q: Find the derivative of f(w) = √3w²

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Q: Find the integral of f(x³ + 1) Inx dx

A: Given :∫x3+1lnx dx

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: Fermat's theorem states that if f has a relative extremum and if f'(x) exists, then f'(c) = 0.…

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Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: Solve the system of differential equations. 0 x' = - [8 %] = 0-5 x₁(0) = 8, x₂(0) = = 15 x₁ (t) = X1…

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Q: Compute lim 0 1 x+h h x

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Q: Main canal with 4 extensions served the areas as shown in figure through 4 branches. The irrigation…

A: Given that            Number of extensions =4            LC1 =5000 donum           LC2 =5500 donum…