.Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not leave O

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A: Use ratio test for checking the convergence

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Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: 25-x dy dx c)

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Q: Find all the second order partial derivatives of g(x,y) = x°y + 5 sin (y) + 4y cos (x). 20x°y - 4y…

A: Given query is to find indicated partial derivative.

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

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Q: Suppose that you have the utility function: u (x) = Vx u" (x) 43 %3D Find : u' (x) 1 2x 2x Option 2…

A: I have stated the used formulas in the solution

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Q: Find the point of the porabola y=x²-4x+3 where the tangent is parallel to the line 3x+y=2. Determine…

A: topic- equation of tangent line parallel to given line

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Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b). (Select all that…

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Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

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

Q: Let f(x) = x5. Use logarithmic differentiation to determine the derivative. f(x) = ƒʼ(1) =

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Q: y 5 2y 30 Find the length of the curve x = 5 The length of the curve x = - on 3 ≤ y ≤5 is 30 2y…

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Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

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Q: Given cost and price (demand) functions C(q) = 150q + 47,100 and p(q) = -2q +890, What price must…

A: This question is related to cost and price functions, we will solve it using given information.

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A: answer is in next step

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Q: Write the first four terms of the sequence (an}n=1 an (-1)^ 3⁰ (Simplify your answer.) (Simplify…

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Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Evaluate the following integral. Assume a and b are real numbers and n is an integer. Sx(ax + b) dx;…

A: By considering u=ax+b we can integrate it.

Q: -7x - 2 y =-13 x – 2y = 11

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Q: 1 1-x Use the geometric series f(x)= = Σx, for |x|<1, to find the power series representation for…

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Q: Verify the divergence theorem for A = 2xyi -yz 2 j + xzk taken over the region bounded by x = 0, y…

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Q: Solve the problems below using the following steps;                                             i.)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: To find whether given series is convergent or divergent.

Q: Let f(x) = µ5ª. Use logarithmic differentiation to determine the derivative. f(x) = ƒ'(1) =

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Q: af Find and ax af Jy f(x,y) = e⁹xy In (3y) 11 for the following function.

A: To find the partial derivative.

Q: Solve the system of differential equations. X1' = 3x1 1x2 x₂ = 1x₁ + 5x₂ = - 11, x₂(0) = 7 x₁ (0) x₁…

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Q: Determine the radius of convergence of the following power series. Then test the endpoints to…

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Q: 2x+1 if x < 2 x²-1 if x ≥ 2 Let_ƒ(x) = Determine the value of ƒ (2). 3 5

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Q: Find the sum of the indefinite geometric series: 2()" e) None of these b) 3 O a.) O b.) OC) O d.) O…

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Q: Verify that af ?x || 224 ?х ду = 224 ду дх - for f(x, y) = 7x®y³ – 5x5y4.

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Q: б хрх ] Ґ

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Q: Find all the second order partial derivatives of g(x.y) = x°y +5 sin (y) + 4y cos (x).

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Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - ... -(1-1)² T Submit…

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Q: Evaluate the following indefinite integral: 2(1 + e*) dx (x + e*)3

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