Find the exact value. (a) sin( (b) arctan (-) (c) arccos (cos())

Q: Simplify the expression In c. * a. d. 3x Iní3x)

A: topic :- simplification

Q: The initial population of a city in the year 1998 was 128 000. The rate of change of its population…

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Q: Find the center of mass of the region bounded by y=2sin(2x),y=0y=2sin⁡(2x),y=0 on the interval…

A: Given

Q: 42 2.

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Q: 1. If f (x) = 5x – 6x2 + 4x - 2 find f'(x) and f'(2).

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Q: The time t taken for an investment to increase by 40% when the interest rate is 3% is given by t= ln…

A: We have to find the time.

Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: Please let me know what answer choice to Choose A,B,C, or

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Q: 1 (1) = 5 4 5 - x

A: Taylor series of function fx at a is defined as:…

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

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Q: What do you call the first derivative of the function of distance with respect to time? 25 Impulse…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3x* – 4x³

A: Given function: fx=3x4-4x3

Q: How the calculation below was done? Can you show step by step?  x / (0.001-x) = 0.5 x = 0.000333

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Q: (x +y) dx +(x+y)dy z o

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: Use the graph of g(x) to answer each question. O

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Q: w= (2,5) v=(4,2) w+v If we add the two vectors, what’s the correct visual representation of that…

A: SUMMATION OF VECTOR  first vector put as it is  after second is put on head of first vector and…

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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Q: Solve the problems below using the following steps; i.) Sketch the area, ii.) Determine the…

A: The given curves are; x=8+2y-y2, x=0 (y-axis), y=-1 and y=3   So, the bounded region is as shown…

Q: Find an equation of the hyperbola that has vertices (0, ±3) and foci (0,±4). Equation: = 1

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Q: Determine the center of mass for the region bounded by the following y=x^3 and y=√x.

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Q: Suppose that you have the utility function: u (x) = Vx u" (x) 43 %3D Find : u' (x) 1 2x 2x Option 2…

A: I have stated the used formulas in the solution

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

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Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A: To find the horizontal and vertical tangents to the given curve.

Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

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Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

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Q: Find all the values of x such that the given series would converge. 00 (2x)" Σ n8 The series is…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

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Q: Jy ニ0 (y cosxy +1) dx + z0- (xcosty +2y=3) dy

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Q: Evaluate the following integral. Answer in 3 significant figure, exponential form, no units, no…

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Q: Consider the function. f(x) = x? - 2 (a) Find the inverse function of f.

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Q: dy Find if dx\x=0 (x – 2)³ - (2x + 1)* 2. +৪ Use logarithmic differentiation.

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Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: xy - 5y +6 2ху ху - 5у Option 4 Option 3 y? - 5 O Option 1 Option 2 Find dyldx at x = 1 y = tan(e* )…

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Q: 1) Use Green's theorem to evaluate o y'dx-x°dy where C is the curve shown: r2 where ri=3 and r2=5…

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Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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Q: Calculate the equation for the plane containing the lines `1 and `2, where `1 is given by the…

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Q: 4. It is estimated that x months from now, the population of a certain town will be changing at a…

A: First we will integrate p'(x) to find the function p(x) and then we will find the population 27 from…

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 2.F(s) = s4+s2

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Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: Find all the second-order partial derivatives of the following function. h(x.y) = 2x e +y +4

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Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

A: Question- Identify the definite integral that computes the volume of the solid generated by…