8. Find the general solution of the following equation. y" - 2y + y = et + 4.

Q: 4. Solve the following equation. (3x² − 2xy + 2) + (6y² − x² + 3)y′ = 0. - -

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A: According to question,Given Functions,1. fx = x+6x-2x+32. fx = x2 + x-6x2 - x-2

Q: 3. Find the derivatives of the vector functions: a) r(t) = (t sint, t², t cos 2t ) b) r(t) = ti+j+…

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Q: 1. Solve the following initial-value-problem. ty' + 2y = 4t², y(1) = 2.

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A: We know that area of the rectangle is given as - Area= length × width  And differentiation of xn is…

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Q: 6. Evaluate the integrals: 2 a) f (ti - t³j + 3t5k)dt 0 π/2 b) (3 sin² t costi + 3 sint cos² tj + 2…

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: # 10 8- 6- -10-8-6-4-2 2- -2- -4- --6- -8- X 246 6 8 10 Q G

A: Given query is to find the equation of the line.

Q: Evaluate: 1/2 de dx O The integral is divergent.

A: ∫021x8dx∫021( x )18dx

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A: We can find the limit of the function .

Q: What is the sum of the series -4? THE NIG 20 13

A: Topic = Series

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Q: For each series below identify which test could be used to determine convergence or divergence. More…

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Q: Answer the following questions about the function whose derivative is f'(x) = a. What are the…

A: Here we have to choose the correct option.

Q: 3) If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

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Q: Find the slope of the line that passes through the points (-5,2) and (-1,6). 1 Previous

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Q: Find the perimeter of the figure pictured below 7 3 Perimeter: 11 a

A: Recall: Perimeter of shape is Sum of the length of all its sides

Q: 1. Use the definition of a Taylor series to find the first four nonzero terms of the series for…

A: Let's find first four nonzero terms of Taylor series.

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Q: Consider the function f(x) = 3x² + 2x² - 6x4 - 6. An antiderivative of f(x) is F(x) = Ax + Bx™ +…

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Q: F. dr of conservative vector field F(x, y, z) Calculate line integral A 7, —2, −8) to (−2,8, –1).…

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Q: Evaluate the following integral So axe¹x² Where a = 0.4 and b = 0.59 Give your answer to 1 decimal…

A: dxndx=nxn-1∫exdx=ex+c

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Q: 3) a) Given; A [3 7 14 11 5 B = T6 is not impossn = 9 10 4 1 12 Use the above matrices to find the…

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Q: 11. A church window is in the form of a rectangle of heighth with a semi-circular section added to…

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A: Given query is to find the point where curve is steepest.

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Q: 28. Swimming speed of fish For a fish swimming at a speed v relative to the water, the energy…

A: We need to determine value of v and sketch graph.

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A: Given query is to find indicated derivative.

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A: Given dydx = e3x+ 2y

Q: π/2 sin(x) dx

A: Topic:- application of integration

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Q: If ffh h(u)du I'Me h(u)du = = 4 and h(u)du = 9.6 what does the following integral equal?

A: The given integral is ∫-48h(u)du=4,∫18h(u)du=9.6 We have to find the value of the integral…

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A: To find the value of sin2θ

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Q: Solve for x. 2x = 13 X= (Round to four decimal places as needed.) ...

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Q: Find the missing length of the trapezoid shown below, if the perimeter is 84.2. ? Ex 22.3 21.6 24.1…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=22.3 b=27 c=24.1 d=?…

Q: 201. 202. 203. ง n 1 8 sin(1/n) n n = 1 8 n= 1 n = 1 n! 2 sin 'n 2 n' sin(1/n) vn

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Q: Given f(x)=x-5x, find intercepts, asymptotes, intervals of increasing/decreasing, values, intervals…

A: According to question,Given Functionfx = x53-5x23

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A: $2000 is invested for 8 years at 12% compounded annually. We have to find the future value.

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Q: A carbon sample contains 4000 atoms of radioactive element 235U. Given that 235U has a half-life of…

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