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Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: Suppose k is a non-zero real number. Evaluate the limit algebraically. If it does not exist, explain…

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Q: Find all the second-order partial derivatives of the following function. w = 3y e x? - 9y

A: Use partial derivative to find the value .

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A: The given series,          ∑n=1∞n cosnπ2n

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A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

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Q: Find all the derivatives of f, given f(x) = x3 - 5x' + 4x6 – Tx* + 3x3 + 11.

A: This is a basic derivative problem

Q: III. Find the area of the regions bounded by the curves. Draw a figure showing the region. 8. y =x;…

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Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: By the Fundame 2+x? dx. 1

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Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: х+2 dx х — 1 1. Find the integral а. х + In(x — 1)3 + с b.x + In(x - 1)? + с с.х + In(x — 1)4 + с…

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Q: The following table gives the approximate amount of emissions, E, of nitrogen oxides in millons of…

A: Please see the explanation below and appreciate my efforts...

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

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A: Solution: we are given curves and firstly, we find bounds and for finding bounds, we set them…

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Q: dx 29. Evaluate + sinx + cosx c) h|1- tan | +C D) tan{1- tan +C A) tan 1+ tan +C B) h1+ tan +C

A: To Find : ∫11+sinx+cosxdx     Note : a)  1+cosx=2 cos2x2b)  sinx=2sinx2cosx2

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A: Here, to plot the graph with the given conditions. Here, the point on the graph is (2,4), Next, the…

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A: This question can be solved using the concept of area of triangle and area under curve. I have…

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Q: An approximate

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Q: The equation y²(y²-4) = x2(x²-5) is known as the devil's curve. Give an equation for the tangent…

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Q: Fad he averge yalue of the funchibon f fix) over the loterual [o,7] 3e- %3D

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Q: aluate the indefinite integral. (Use C for the constant of integration.) (x+11)V 22x + x² dx Need…

A: Given query is to find the integral.

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94