x = In(1– y²) 0

Q: 21 claurin series f(x) Also express the serie 1-x %3D

A: Given :

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

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Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

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Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: dx ,n = 10 1+x?

A: This question can be solved by any of the approximation method of finding the value of definite…

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: 4. [Geogebra Question] Let f(x) = (1 – x) In(x²)+3.0225887223. Use Geogebra to find the definite…

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Q: (0, о, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of…

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: Prove: le* a. ſ csch x = In - |+c lex+1

A: As per Bartleby guidelines rule I am answering only first question as Both question is not subpart…

Q: -8e4t* + 2e6t cos 2t

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Q: VECTOR DIFFERENTIATION: If R = e^(−t) i + ln(t^2+ 1) j - tant k. Find: (a) dR/dt, (b)…

A: R=e-ti+ln(t2+1) j-tant k

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: O 2y = x In cx?

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Q: ) Find: dx/dt  at  x=−4  if  y=−3x^2−2  and dy/dt=1. dx/dt=

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Q: e* +e* –x? - 2 Lim sin? x– x? 2

A: To solve the given limit of the function

Q: 2n Let an = 3n +5 Determine whether {an} is convergent. Determine whether an is convergent.

A: To determine whether the given sequence and series is convergent or not.

Q: Hello, can you please solve the final answer using a right tringle? On there, we are instructed to…

A: After step 3: Line 9:  19-13sin3y+1siny+C We can use the triangle for subtitution.

Q: 1-cosx The value of limx→0 by using series is 1+x-e

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Q: Where is the function decreasing? * (-1,3) (-2,1) (0,1) O (*-1) O (*, *) O (-1, ) O (-*, 3)

A: A function is said to be decreasing in an interval in which on increasing the value of x, the value…

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

A: Let,I=∫lnx2dxI=∫1*lnx2dxApply integraion by…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: f(b) – f(a) Find the value(s) of c that satisfy the equation = f'(c) in the conclusion of the mean…

A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

Q: Use the series representation for cos x, cos x = 1 – + to find the following three items: 6! 1- A…

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Q: dx

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Q: t? +4r+10 dt 7² + 2r² + 5t

A: I am attaching image so that you understand each and every step.

Q: 2b + 3 %3D = 2b + 2 x + 27 =

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent. n…

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Q: Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find…

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Q: 2t2 + 38 sinh 16t

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Q: Determine the direction cosines and direction angles for Á =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: •VT (2x)[sin (2x²)] cos (x²) the correct re-expressed integral in terms of u. Choose and circle one.…

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Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Funetion Values. Find Re f. and Im fand their values at the given point z. f) = 1/1-2) at 1- i 2) at…

A: Since we have the function                                             fz=11-z then we have to find…

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

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Q: Question Select your answer. A function f(x) has a critical number a = c. Which of the following…

A: Recall:  y = f(x) + C C &gt; 0 moves f(x) up C &lt; 0 moves f(x) down   Given P(x)=f(x)±k  Where k…

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.

Q: Find an equation of the tangent plane to the surface at the given point. fx, у) %3 х2 - 2ху + у2,…

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Q: Evaluate by using homogeneous D.E. 3 (3x? + y) dx – 2xydy = 0 03 In(x2 + y?) + 4 = C O a = C(9x³ +…

A: To evaluate by using homogeneous D.E.33x2+y2 dx-2xy dy=0

Q: Question Select your answer. A ball is thrown vertically upward. Its height h feet after t seconds…

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

Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

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Q: 1. Find the following definite integrals: 1 (a) / 3r*(3x* – 2)5 dæ 1 r2 (b) - 2² – 1 xe dx

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Q: g (x) = sin(x) Compute IT IT + g' + g" 2

A: This question is based on derivative of a function.

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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