Evaluate the integral. (Use C for the constant of integration.) 5e2x 13 3 + ex dx

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Q: Determine whether the equation is exact. If it is, then solve it. (4x³y + 7) dx + (x-2) dy = 0…

A: Given differential equation is (4x3y+7)dx+(x4-2)dy=0

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Q: olify the fractional expression. (Expressions like this arise in 2 3 √₁ · (~- ++)² 4x³

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Q: Find the point at which the line x(t) 5 + 2t y(t) 3-t z(t) = - 7 - 6t Question Help: Video…

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Q: The price in dollars of a house during a period of mild inflation is described by the formula…

A: Given, P(t)=96000e^0.05t

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A: Sol:- To find the rate of change of V with respect to r, we need to take the derivative of V with…

Q: -6 y = -5 سیناد abrups and (vilsoming) dodeq 2+ -3 -2 By 1 -2 3 (x-1)(x+4)(x+2) 2 3 THE

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: whats the answer to g'(8)

A: see below the answer and explanation

Q: n { ( ₁ + ² )"} n (f) {n(√n² +1− n)} (e)

A: Sequence is convergent if limit of the sequence exists finitely.

Q: 1. Suppose that in a monopoly market the total cost per week of producing a high- tech product is…

A: Given :C=3600+100x+2x2p=500-2x

Q: 10. Two ships leave the harbor at the same time. One ship is traveling at 14 miles per hour on a…

A: From the data  after 3 hours first ship travel = 14*3=42 mi2nd ship travel = 12*3=36 mi

Q: 11. Consider the equation differential equation? dx I dt Which of the following is (are) true in…

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Q: Let f(x) =x√x² + 1. Sketch a graph of f. Make sure your graph takes into account regions of f…

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Q: Find y' and then find the slope of the tangent line at x = 0.4. Round the slope to 1 decimal place.…

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Q: A) f(x)=12+9x-3x²-x³ [-3,1]

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Q: 10. Solve for x: log(x + 5) + log₁ x = 2

A: We have to solve for x.

Q: 4) dy dx² dy dx +6y=3x² - 2x+1,

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

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Consider the following functions. f(x): = 2x + 5, g(x) = 4x 1 Find (f o g)(x). 8x + 3 Find the…

A: Given f(x)=2x+5g(x)=4x-1   We are required to find(fog)(x)Domain of (fog)(x)(gof)(x)Domain of…

Q: n #5: Express the parametric curve x-y-+7 in the Cartesian form y = f(x). Enter the function f(x)…

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Q: 5t - 3 t+1 dt

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Q: 11. Find the area of the region between the parabola y = 1 - x^2 and the line y = 1 -x. A. 1/6 B.…

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Q: f(x,y)= x/x+y.  Find fxx, fyy, fxy, fyx.

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Q: 2. State and illustrate the Fundamental Theorem for Line Integrals using the following vector field:…

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Q: b) f(x) = x² - 12x + 55 on the interval [6, ∞); c = 20. Note that f(7) = 20. a = (ƒ-¹)'(c) =

A: Please see the below picture for detailed solution.

Q: Arrange the numbers 1 to 8 in each square so that each side adds up to the middle number. 13

A: The solution of given question is written in below steps.

Q: Differentiate. y = In |4x² - 7x|

A: solution:-y=ln4x2-7xdydx=ddxln4x2-7x       =14x2-7xddx4x2-7x      {chain rule}      =8x-74x2-7x

Q: 21. Which of the following statements is(are) true? (A) y = e³ is a solution of the DE y"+y' - 12y =…

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Q: Find the solution set of the following equations: ¹²/²7x) = ₁ (a) cosh(lnx) — sinh|ln (b)…

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Q: 7. Is the function given by f(x) = = x +4, for x < 3 3 (2x − 1, for x ≥3 Continuous at x = 3? Why or…

A: Given that  a function f(x) and we find is this function continuous at x=3.     Here i attached the…

Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

A: Given : g(x)=x2for x&lt;0-3for x=0-2x+3for x&gt;0

Q: uppose that water is stored in a cylindrical tank of radius 2 m. If the height of the water in the…

A: Given: Height of the water tank = h m Volume of water in tank =πr2h Draining rate of water = 300…

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Q: m #7: Find the arc length of the parametric curve x = 5+241², y = 7+16³, 0≤ t ≤ 1.

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Q: 1. If f(x)=2(6x^2−8)^3 then f′(x)= and f′(1)= 2. If f(x)=ln(7x^2+2) then f′(x)=  and f′(10)=

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Q: 1. Determine the derivatives using shortcuts of each of the following functions. Do NOT simplify…

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Q: College Algebra - HW #11, S Real and Complex Zeros of a Pol Exercises 9-12, confirm that the fun…

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Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

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Q: Consider a plane curve with a regular twice continuously differentiable parametrization r(t) =…

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Q: Evaluate the double integral T y = 0. A. B. C. D. 40 3 50 3 - 40 3 50 3 ry dA, where R is the region…

A: Topic = Area Correct Option = D. 50/3

Q: Find the critical points, domain endpoints, and local extreme values for the function. y=x₁/36-x² 2

A: The solution is given below :

Q: 5) d²y dy +6 dx² dx +9y=4exp(-3x), y(0)=3, y'(0) = 2

A: The given differential equation is: d2ydx2+6dydx+9y=4e-3x, y0=3, y'0=2 So, we can also write as:…

Q: Consider: f(x) = At which x-value(s) do the local maxima/minima occur? (Hint: Because of In x, the…

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Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: Determine the x-value of all critical points for the following function. 2x² X-9 f(x) = 2x The…

A: Please see the below picture for detailed solution.

Q: 31. Evaluate W(1-x, x, x²) (A) 2 (B) 2x (C) -2x (D) -2 32 The roots of the auxiliary equation…

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