x² – 3x – 7 - dx (x² + x + 2)(2x – 1)

Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit…

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Q: dx x³Vx? – 16

A:

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

A:

Q: 1. Find the second derivative of the parametric equations x = a cos t and y = b sin t 2. Use second…

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Q: Find the area under the curve リ=x rom x=0 o X=|.

A:

Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: Which of the following is undefined? A sec(1710°) B tan(4260°) © cot(2890") D csc(3250")

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Q: What is the exact value of sin4)-sec(-) -4+/2 A 2 4-/7 B -4-/7 2 4+/7 2

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Q: Calculate the following limit using L"Hopital's rule: e* –1-x lim(z→0) O 1/2 O 1 O - 1/2

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Q: y = e from x=0 to x=1

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Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A: Let's find area between line and given curves.

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: Write an equation for the polynomial graphed below 5+ 4+ 3- -2- -3 -4 -5+ y(x) %3D 2)

A: topic- polynomials

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

A:

Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

A:

Q: Show that when a hole of radius a is bored through the center of the sphere of radius b, the volume…

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Q: 39.54 divided by 3

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Q: 17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it…

A: 17.A function satisfies that f0=625 and f4=16

Q: Question 9B.)

A: Topic:- function

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz +  tan x  +  y sin z…

A: Given problem:- Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz + tan x…

Q: Consider the following initial-value problem. 4 f'(x) f(9) = 31 %3D Integrate the function f'(x).…

A: We have to find the function.

Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

A:

Q: (D- 3)'( D + 9)y = 0

A: We can solve the give ODE as follows:

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: (MODULE 3& 4) ACTIVITY 1: Determine if the following functions are continuous at the given value of…

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: Determine whether the SERIES converges or diverges. If it converges, find its SUM: n+2 n%3D2 A. It…

A: We have to find sum

Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: 3. S sin x In(cos x) dx

A: According to company rule, we can answer only first question.

Q: (a) Find the equation of the tangent line at A. (b) Find the area of the shaded region enclosed by…

A:

Q: 5+ -6 -5 -3 -2 2 -2 -5t The curve above is the graph of a sinusoidal function. It goes through the…

A: Here, the required function is of the form: f(x)=Acos(B(x-D))+C

Q: Solve 12 cos (t) + 2 cos(t) - 2 = 0 for all solutions 0 < t < 2n t = Give your answers accurate to 2…

A: See the answer below

Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

Q: cos(0)tan(8) sec? (ө) — 1 is written in terms of sin(e) only and simplified, what is the resulting…

A: Topic:- trigonometry

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

A:

Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

A:

Q: A particle moves along a straight line with its position given by s(t) = -5t2 + 7t + 2. Find its…

A: In this question, we want to find the average velocity between t=1 and t=3.

Q: Evaluate the integral: 1. Jcsc x (сos? х — 1)dx 2. S(sec2 x + csc² x) cos? x dx 3. S(wew² + w²ew³)…

A:

Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

Q: x3 dxp (x²+4)7

A:

Q: Determine the interval of convergence of the power series: , n!(4x - 28)" A. A single point x = 28…

A:

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

A:

Q: 8. Given the following functions of one variable: (a) f(x) x+ x* + 2 (b) f(x) = (2x + 1) (x- 4)…

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Q: Iy 3. cosysiny dy

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Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. cylindrical…

A: Here we have to convert it into cylindrical coordinates.