Find the area of the region bounded by the curve ,2=4x and the lines x = 1 and x = 4. 63/2 square units 56/3 square units 21/2 square units 24 square units

Q: Solve the differential equation. dy 2 36 - y, -6<y<6 dx y = 6 sin (2x + c)

A: Given query is to find the solution of the differential equation.

Q: Question 13 5 Point sinx sinx +x Cosx - e +e The integral dr may be written as nsinx me +px + qe FC....

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Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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Q: d --x" + -xP +C. a The general antiderivative of (3x2– 4) 2x2 can be written as - m What is the valu...

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:       ...

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

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Q: (2, 2, 4). Find the line ar combination au + Bv that's as Problem 11. a) Let u = (1,2, 1) and v = cl...

A: Here W can be express as a linear combination  Of U and V.

Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2 d...

A: This question is based on solution of differential equation.

Q: Question 9 e* What is the integrable form of dx? (A @ /(1-u²) 12 du [(u?-1) -12 du 1/2 du (D 2- 1) 1...

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Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: sinh (5) = %3D (A) 5 + V26 (B) In(5 + /24) (C) In(5 + v26) (D) 8. (E) 5

A: Use the definition of hyperbolic of sine function. 

Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

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Q: Use the Laplace transform to solve the given initial-value problem. dy -y = 1, y(0) = 0 dt y(t) = %3...

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Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What p...

A: Given query is to find the percentage of students passed the test.

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: Find the indefinite integral. (Use C for the constant of integration.) - 64 dt Need Help? Read It

A: Given query is to find the value of the integral.

Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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Q: The resulting integral of -F(0)+C What should be the value of e to make F(0)=0? sin- cos-sine de ha ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2,. If the point (9, 3) is on the cu...

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Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

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Q: Question The position of a car traveling along a highway is given by the function s(t) = -13 + + 12t...

A: Given query is to find the interval where car is speeding up.

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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Q: Given that the terminal side of angle 0 goes through the point (-3,-4), find sec(@).

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: Use logarithmic differentiation to find the derivative of the function. V9 + 7x² y = 3 x2 + 1

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

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p, q...

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Q: Find the equation of the line tangent to an inverse function Question -3x - 3 Find the equation of t...

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Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: d +-xP +C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be written...

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Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its v...

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative minim...

Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(q) = - 3q +2400q, what is the min...

A: Given query is to find minimum marginal cost.

Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000. Fi...

A: Given query is to find marginal cost function.

Q: Find the area of the region inside one leaf of the five-leaved rose r= 5 cos 50. The area of the reg...

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Q: Evaluation of functions. For each of the following, find the required function. Vx2+9 1. If f(x) det...

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Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

A: The given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exe2x-1dx

Q: Find the area bounded by the curve y²=4x, the lines x =1 and x=4. 21 (A sq. units 63 B) sq. units 56...

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Q: Which of the following integrals is equal to the integral /f(3x – 5) dx? -2 7/3 / (:) dz -2 7/3 5. s...

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: S- 10* dx may be written as AlnlsecRx1 tanB*+ C: where A, B, and C are constants not equal to zero. ...

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Q: Consider the function g(x) - (x- 2)-3. Sketch the graph of f(x) - x and the graph of the function g....

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Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to...

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