33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: Example Evaluate +f -P) dpdgdr (p2 + q² – r²) dp dq dr + pq² – pr2 dq dr 3 1 + q? ² – r? } dqdr 3 -…

A: Let's find.

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x? + 2x + 1…

A: continuty

Q: (x – y)dr + xdy = 0.

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

Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: The figure shows the total number of cellular phone subscribers in a country from 2000 to 2008. niha…

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Q: Find the total distance traveled by a body and the body's displacement for a body whose velocity is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

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Q: d d. Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product…

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Q: Su Find D. andR %3D

A: Domain is the set of input values for which the function is defined. Range is the set of output…

Q: ey -2Vy-5inlVy+5| +C Vy+5 A) True False

A: I = ∫dyy+5 Let, y = t2   ...(1) Differentiating both sides, gives dy = 2tdt  ...(2)

Q: Consider the region bounded by the curve v= x2 - 1 and the x - axis over the interval [0,3]. Find…

A: The equation for the x-axis is y=0. Draw the given two curves.

Q: 33 Vx2 f(x) = + Ve2x + 2x – In e, x # 1 TT Sin 2x - 1-x

A:

Q: Determine the slope of the tangent to the curve y – 3.xy +2x =4 at the point (3, 2).

A: curve :  y2-3xy+2x2=4differentiating w.r.t…

Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: Question 3 хаx S- can be solved by either algebraic subsitution or integrataion by parts. x- 1 T…

A: The given integration,         ∫x dxx-1

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: Find the general solution of (2x – y) dy = 2y – x - da

A:

Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C %3D = {1, 6, 7}. Find: (A U B) NC = O {1, 2,…

A: Given: A=1, 2, 3, 4, 5, 6, B=2, 4, 5, 6, and C=1, 6, 7.To find A∪B∩C.

Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: The integral 4 dy dx is equal to: Select one: 12 6. None of them

A: To determine the value of the integral ∫03∫014 dy dx.

Q: Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

A: f(x)=x+123

Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Given problem:- If a ball is given a push so that it has an initial velocity of 24 ft/sec down a…

Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2 y =

A:

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

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Q: dy +Hanx Siny = I Cos y die

A:

Q: Which series converge in the interval described by x|<1? I. 1+x+x²+ ... I. x+x³+x5+ ... O I and II O…

A: See the answer below

Q: Let y=f(x).Which of the following correctly defines dx [fk+Ax)-fw] a. lim Ax+xL Ax Ob. lim Ax+x…

A:

Q: The general solution of the second-order linear homogeneous differential equation y" +6 y=0 is y=…

A: Let's find.

Q: Vx² –25 The antiderivative of dx is x2-25- sec lx+C. A) True B False

A:

Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

A:

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A:

Q: Which of the following yields the value 318? 3 (8х + 7у) dxdy 0 °0 (8x + 7y) dydx 0 °0 none of the…

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Q: IVy+1-2dy can be evaluated conveniently if we let x =VVy+1-2 and dy = 4x(x² +2)dx. T True F False

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Q: Let flx) = S.5 1 dt. o t4 +5 Find the derivative f'(x). none of the choices O e2x O ex

A:

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

A:

Q: Evaluate the definite integral. e12. i+ k 12 e12 i-elj+; k 12 e12 -1 12 e12. k 12

A:

Q: Which of the following is the Taylor series expansion of the function -x2 with center at 0. f (x)=e…

A: Given problem:-

Q: If D is the region enclosed by y = , x = -3, and y= 0, then: II.-96y° dA =1. Select one: O True O…

A: Given problem:-

Q: cos(x) 1- cos(x) by miscellaneous substitution, the substitution z=tan In solving the antiderivative…

A: Here we have to use the subsitution.

Q: dy Vỹ+5 - =2/y- 5ln|/y+ 5| +c A True B) False

A: follow next step

Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

A:

Q: 10x ME 10. 4+ 25x'

A:

Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (/2,0). What is its…

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Q: y = Vx* X

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Q: to this answer. Evaluate the left-hand limit of as f (x) = x8. 16-2x O 1/2 O -1/2 O undefined

A: