f(x) = 1– 2x – x2

Q: 7. Consider the region R bounded by y = x², y = x,x = 0 and y = 0. Find the following. (a) area of t...

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Q: S4 csc2 4x dx

A: Solution is written in below steps

Q: Using integration by parts and taking a > 0, the integral x In(ax)dx is equal to: In a 2 In(2a) - 3 ...

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Q: Q2) For the following problems, find the directional derivative of the given function at the given p...

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Q: Consider the function f(x) 4x +4x 8. f(x) has a critical point at 2 = A. Find the valtue of A: A = A...

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Q: Find dy/dx y=4sin(x)-5cos(x)

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Q: 3 Given f(x)=20x+9x-50x+24, answer the following. Part: 0/ 2 SS Part 1 of 2 3 is a zero. 4 Factor f(...

A: Given query is to find the factors of the expression

Q: 2. Consider a homogeneous differential equation, p(т, у) dx + q(z, у) dy %3D 0, where the coefficien...

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Q: find the derivate of y=x^3(5^-x)

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. g(t) = |5t...

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Q: Solve the given differential equation. x2y" + xy' + 9y = 0 y(x) ,x > 0

A: We have to find solution of given differential Equation.

Q: Given f(x)=x+2Jx. Use the definition of derivative to find f'(x).

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Q: 3) A cylindrical fish tank is 8 meters deep and has a radius of 3 meters. The depth of water in the ...

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Q: Tunorial ExSICISS And any Intercepts. 49x Step 1 To And the y-Intercepts, letx be zero and solve for...

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Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount...

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Q: Simplify the expression. Write the final form with no fractions. sinx secʻx- sinx sinx secx+ sinx

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Q: find the moment of inertia with respect to x-axis of the region bounded by y^2=4x and x-1=0

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Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: case

A: We will find the type of equation and draw the graph. 

Q: Let u = i +j and v = 5i - 3j. Input answer with NO SPACES. Find 3u - 2v:

A: Given that         u = i + j     and  v = 5i - 3j Here we have to find 3u - 2v .

Q: by L'Hopital's rule 3sin e -1 lim

A: limθ→03sinθ-1θApply L-Hospital Rule

Q: cos x dx 1 - cos? x d)

A: We have to find the antiderivative if the given part d.

Q: Consider the function whose graph is shown below. Determine if the function is continuous at the fun...

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Q: suppose a baby food company has determined that its total revenue R for its food is given by R= -x^...

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Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: Evaluate p dA, where Dis the shaded part inside the semicircle of radius 2 in the figure. (Use symbo...

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Q: A. Differentiate the following functions using product rule and quotient rule. 1. f (æ) = (3x – 9) (...

A: Quotient Rule of differentiation : ddxuv = v.dudx-u.dvdxv2.

Q: Find the general solution of the differential equation. 1 こ

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Q: Example: Find the surface area of the curve described by x = t³, y = t², 0<t<1, rotated about the x-...

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Q: 5.S dx 2 x+5

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Q: Solve the given differential equation. x2y" – 6y = 0 y(x)

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $300...

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Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so, f...

A: We have to find the limit of the sequence and find first five terms

Q: Solve this differential equation: dy 0.03(700 – y) dt y(0) = 45 y(t) =

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Use Simpson's Rule with n = 4 to estimate the average value of %3D f(x) = 2ª on the interval [1, 9].

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Q: e the graph to state the absolute and local maximum and minimum values of the function. (Enter your ...

A: Given query is to find absolute maximum and minimum value of the function.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Q3) The directional derivative of a given function w = f(x, y) at Pol-1, 1) in the direction of A = ...

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Q: Use implicit differentiation to find y' and then evaluate y' at (3, - 4). 5xy + y+ 64 = 0 y' =D y'l(...

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Q: A chain lying on the ground is 10 meters long and its mass is 80 kilograms. The chain is threaded th...

A: Please follow step 2nd . 

Q: Verify that the series Σ n=1 satisfies the conditions of the Integral Test, then use the Integral Te...

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Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: B. Differentiate the following using Chain Rule. 3.f (2) = (322- 플 + z)" (3=² – +=

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Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have