Write the following first-order differential equations in simplified standard form. dy (5х + 3)у + ze dx dy dx +(-5 — Зӕ)у3 еt

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A: (1)

Q: S x²+x+1 3. Use partial fractions. 2r²+2+x³+x

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. LLL. yz dx dz dy -60 -90

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Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve dy/dx and use this to explain why dy/dx is always…

A: SOLUTION GIVEN BELOW

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A: Here we will find the correct location of polar given coordinate,

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Q: Use the algorithm to sketch the curve.

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Q: Given the differential equation y" - 4 y' 8 Using Reduction of Order and the letter "R" to this…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Let A be a 5 x 5 matrix such that each row of A contains every mumber from the following list…

A: From given matrix

Q: H.w dy ーレ dy Xy in

A: Since you have posted multiple questions with sub parts, as per our guidelines , we will answer the…

Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx

Q: Find the particular solution of the differential equation. dy 7 - 7x° e -×' ; y(0) = 4 dx y =

A: See below the answer and calculation

Q: 1-x² dx

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Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: Solve the following ODE y' + tan(2 - x)y = 0 with initial condition y(0) = 3

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Q: 3.1 Prove: For all a and B in R, Ja + B] > | |a| – |B||. Hint: la + B] = |a – (-B)|-

A: Answer is in below steps.

Q: Consider sin °x cos2x dx. f we let 4=cos x, the integrand can be transformed to

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Q: 9. lul 4,0: Ju] 4,0 310°

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Q: x² + 49 Given f(x)= , g(x) = x – 7. Determine the domains of (x) and g(x). %3D x + 7

A: domain of function is where function is define here  f(x) = (x2 +49)/x+7) here if we put x = -7 then…

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 121 is…

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Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: 議 三 彩券 財 The table gives selected vahies ofrthe velecity, v(.ototicle noving along te raxls. At tine…

A: topic - graph

Q: Let 7(t) = Find F(t)dt (don't include the +C)

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Let f(x, y) = (x – 6)? Graph the boundary of the domain of f below. 7+ 5- 4 3 -7 -6 -5 -4 -3 -2 -1…

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

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Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: Evaluate the integral. 4 2х e dx 4 2x e dx = (Type an integer or decimal rounded to the nearest…

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Q: Find the curl of the vector fleld F(z, y) = 9ye" i+2ejat the point (-2, 0). Enter an exact answer.…

A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

Q: (0) (4) | 童 9. 4. 2. 2. Question 4 OE OB () 91 3. (a) (V) (B) What is the area of the region between…

A: Given query is to find the area bounded by the graphs.

Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

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

Q: f(2) = | Given t2 – 49 -dt 1+ cos2(t) At what value of x does the local max of f(x) occur? | f(x) x…

A: Explained below

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation