dy - cosec'x. cos x (i) By differentiating 6 show that if y = cot x then sinx' dr (ii) Show that x cosec?x dr = (a + In 4).

Q: y =\nNX ), find y %3D メ43 find %3D (メ43) 8.

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

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A: We have to choose correct options.

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A: Topic  = Derivative

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A: We have to match according to the given information

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Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives

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A: From the given data: Here, the complete 2π rotation is done in 3 seconds.  So, dθdt=2π3 rad/sec

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A: Solved below

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Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: If the change of variables u = x -2 is used to evaluate the definite integral f(x) dx, what are the…

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Q: that F(x) = f(t) dt, where V6 +u f(t) = du. и

A: We have to find out solution

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Q: Calculate the surface integral / G(r) dA, where G = (12xz + 36)1/2, the surface S is given by the…

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Q: Find the inverse of the function. f (x) = 14 – 5x³

A: Topic = Function

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: A formula for a function y = f(x) is f(x) = 5x° + 1. Find f '(x) and identify the domain and range…

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Q: of the following graphs represents a y

A: Function

Q: Question 8 Evaluate the given double integral by changing it to an iterated integral. JJ xy dA; S is…

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

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Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of a…

A: answer is in next step

Q: Using appropriate substitution tan3. dx sec5x tan³x is equal to

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

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A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: 7. Find the intervals of concavity for the function and state the points of inflection. =x*-2x²+x-2…

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Q: Use the substitution method to find all solutions of the system of equations. S2x + y = 5 x + 2y = 1

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: y= f(x) -2- 2 4 8 Evaluate the following integrals by interpreting them in terms of areas: (a) f(x)…

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Q: y10) f(x, у) %3D In x9

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Q: what is the sum of a+b+c of the intersection of the plane and line parameterized by x=r, y=1+r,…

A: A plane perpendicular to a vector and through a point In vector form, a plane's equation is…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Š (-7)" n2 00 n = 1…

A: ∑n=1∞-7nn2 Here an=-7nn2 and  an+1=-7n+1(n+1)2 limn→∞an+1an=limn→∞-7n+1(n+1)2-7nn2…

Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: a a If f is an even function, why is f(x) dx = 2 f(x) dx? Choose the correct answer below. O A. a a…

A: Definite integration property

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

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Q: * This matrix is a 4 0 4 4 0 zero matrix square matrix diagional matrix O unit matrix O

A: This question can be solved using the concept of types of matrix.

Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. u.) 4

A: The region bounded by the curves y=x3, y=x+6 & 2y+2=0 is:

Q: f(x) dx

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Q: yA C(0, 1) B(1, 1) y=Vx R2 R3 R1 A(1, 0) Referring to the figure above, find the volume generated by…

A: This question can be solved using the concept of volume of solids generated as a result of rotation…

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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