Find the derivative of the function. -7 а) у — (2t – 3)2

Q: Given line M = ax + by + c, b # 0 What is the y-intercept of the function? c b - M -C M - C b C- M

A: NOTE: Refresh your page if you can't see any equations. . to find the y-intercept take x=0

Q: d) Describe the continuity of this function and make a sketch of the graph.

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Q: give

A: We have to choose the correct options according to the given information

Q: Q.3\ The Maclaurin series for cos(2x) for every x is:

A: In this question we have to find the Maclaurin series for cos(2x).

Q: Point Q, expressed in spherical coordinates, is (V2, -5, :). What are the Cartesian (rectangular) co...

A: NOTE: Refresh your page if you can't see any equations. . the given spherical coordinate is  so we ...

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: What values of a and b maximize the value of ["(x – x²)

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Q: Differentiate the function. g(t) = In(5 + t“) g'(t): %3D

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Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1. -V...

A: ⊙ tan(210°) = tan(180°+30°)                        = tan(30°)                                       ...

Q: 52 Solve G(x) for the given domain. G(x) = x 2 + 2 G(2x - 1) = _____. 4 x 2 + 3 4 x 2 - 3 4 x 2 ...

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Q: Select all that apply. Find the solutions to the equation sin²0 - 1 = 0, where 0s0< 2TT TT 2 371 4 3...

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Q: b) E = 25,000 101.5M %3D

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Q: How can the equation -2x2 + 3x + 4 = -7 be solved and why? Only by using the quadratic formula beca...

A: We have to solve the equation by quadratic formula

Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...

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Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Need to check the convergence by comparison test. Given The improper integrals are  A∫1∞1xdx, B∫1∞1x...

Q: Oil is leaking out of a tanker damaged at sea. The damage to the tanker is worsening as evidenced by...

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Q: 44

A: Please refer to the image below

Q: sin e cos e Choose the best answer: sin (0 - 1)

A: Trigonometry 

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest p...

A: This question can be solved by the concept of maxima and minima.

Q: 1. Find the domain of the function: f (x) = log2 Show a sign table. %3D Intervals: Test Value: Sign ...

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Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: -2 - 5 if r 4 7 4- 3. -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -7 2.

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Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2 ...

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Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: Given the series * 4" n=1 |an+1 find the ratio an (Express numbers in exact form. Use symbolic notat...

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Q: Find the volume of the solid generated by revolving the region under the curve y=: for 0<<1, about t...

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Q: Evaluate the surface integral F*n d-sigma where F = 2xi +4zj - 4yk, and S is the part of the sphere ...

A: Value of the surface integral is

Q: Use synthetic division to find the remainder. When x 4 - 3x 2 + x - 1 is divided by x + 1 -3 -4 -1...

A: NOTE: Refresh your page if you can't see any equations. . take a synthetic division using x=-1

Q: -1 Evaluate: lim a. 00 O b. 1 O c. 0 d. - 00 QUESTION 3 Using differentials, if determine the approx...

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Q: Select a correct statement concerning the curvature of the graph y = x2 on the xy-plane. O The curva...

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Q: The two curves below intersect at the origin. Find the angle 0 of intersection at that point. ri (t)...

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Q: dy 5. Use logarithmic differentiation to find dx of y = x²Vx – 7,x>7.

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Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

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Q: Find T(t), Ñ(t), B(t), and curvature k for the following curve. (The curvature is constant.) 7(t) = ...

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Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

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Q: In this question we use partial fractions to evaluate sec 0 de . First, write this integral as cos 0...

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Q: Choose the correct graph by clicking on it. X + 3 f(x) = x2 - 9

A: Question is solved.

Q: Without the aid of Wrongskian, determine whether the given set of functions is linearly independent ...

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Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

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Q: y' = 2aye (5)² 2 y²+y²e(#)¨+2»²e÷) 2 +2x?e(7)

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy y(0) =...

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Q: Given the function f (x,y) = cos2x - x2 e5y + 3y2, find the partial derivative fxy.

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Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

A:

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and then find the nth Taylor ...

A: The taylor series polynomial of f(x) at x=x0 is given by:                        f(x) = ∑r=0∞f(r)(x0...

Q: 7. Find a and b such that f is differentiable everywhere. f(x) = {+b, S ax³, lx² + b, x 4

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