1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: Which represents the Period? (B) (C) (D) (A)- A D でビ

A: Topic = Functions

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: x2-3 - Let f(x) x-2" a. Find the intervals on which the function is increasing and decreasing. b. Th...

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O n...

A: Given fx is continuous between a and b

Q: Consider the following functions. f(x) g(x) = 3D Зх — 5 X + 5' Find (fo g)(x). Find the domain of (f...

A: Given that: f(x)=xx+5 and g(x)=3x-5

Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x + sinh 3...

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Q: 11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b)...

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Q: After t hours a freight train is  s(t) = 17t2 − 2t3  miles due north of its starting point  (for 0...

A: Given that: s(t)=17t2-2t3

Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

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Q: The region in the first quadrant bounded by Y = -3x + 6, the x-axis and the Y-axis is rotated around...

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Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: Which of the following graphs represents y = 3sin(2x)? 32 /2 2/2 3/2 2x

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we ha...

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

A: Taking laplace on both side, and using y(0) =-3  

Q: Find an exponential function of the form P(t) = Pon that models the situation, and then find the equ...

A: Given Tripling time = 4 months Initial population P0=4000 Exponential functionPt=P0ntT

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given fx=x25-9x if -1≤x≤0if      0&lt;x≤1

Q: Evaluate [z tn"(1 + x®)dx (1+x³) x². p 1 In³(1+x³) + C 1 In*(1+x³)+ C Option 1 Option 2 12 in*(1 + x...

A: topic - indefinite integral

Q: Which of the following statements is true in finding roots of a function using the bisection method?...

A: Find your answer below 

Q: 68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c...

A: Solution is given below:

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: Find the integral of 12sin5xcos5xdx if the lower limit is 0 and the upper limit is 90o.   A. 15.5 ...

A: Using definite integration.

Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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Q: 2. Let g(x) = tan(x/2). Find the area of the region bounded by y = g(x) and the x-axis for -2sx S2. ...

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and ...

Q: dx 3 -1 (4-x²)7

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Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We can solve all the three parts as below.

Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: The answer is: Find the exact value of a in the given interval that has the given circular value. Do...

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Q: Given f(x,y) = xy-3xy. Evaluate [ fdy O 14y-27y + C 6 O -6y +8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x+C

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Q: ずx 1

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Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)...

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Q: Graph the following function over a two-period interval. y = -3+2cos x C.... Choose the correct grap...

A: The Solution is given below-

Q: The functions f and g are defined as f(x) = 5x – 2 and g(x) = - 7x². f and a) Find the domain of f, ...

A: The given functions are f(x)=5x-2  &amp;  g(x)=-7x2

Q: Evaluate each limit using the appropriate algebraic methods. Vx + 8 a) lim- x-1 x+2 b)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 6. i) Ide...

A: As per bartleby guidelines we only give first question answers. 

Q: the following. Show solution using the basic formulas.

A: Given that:

Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3   Vertical asymptote of the above function is x=3

Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

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Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: discrete math How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if t...

A: Given set of digits={1,2,3,4,5,6,7,8}  number of digits in main set n=8 We have to make 5-digit numb...

Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: Find 19. t sin 3t dt Jo

A: Topic:- integration  Note:- as per our guideline if more than one question uploaded than only first ...

Q: 1. Given r(t) = 2 cos t i + 2 sintj+ 10tk; 0 <t< 2n , find the tangential and normal components of a...

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Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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