1 Find an equation of the line tangent to the graph of f(x)= a) at (1,1); b) at a) The equation of the tangent line at (1,1) is. (Type an equation using x and y as the variables.) c) at

Q: Given y=root x. Find dx/dt when y=3 and dy/dt ​= 1.75. dx/dt=

A: Given y = x dydt= 1.75 dxdt = ? when y = 3 then x = 9

Q: Find the area of the surface generated by revolving the curve about the given axis. O≤053/2 y-axis x…

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: How much (in dollars) is needed in an account that earns 10.8% compounded monthly to withdraw $1,000…

A: Topic - Compound interest We are given, PMT=monthly withdrawl =$1000r=rate of interest =10.8%t=time…

Q: 2y y² dxdy Evaluate SS2¹ 4y²+x² O π/12 O π/16 O π/2 O π/6

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1," 16 5 Enter the exact…

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Q: Description of image (in case it has trouble loading): A right triangle has acute angles a and B.…

A: As we know that tanα = perpendicular base

Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: 6. Find the surface ares for the part of the graph f(x, y) = ²-3ay+2 that lies above the triangular…

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Q: if f(x) = 3x + 2 the f-1(x) = f(x) = 3x2 + 2x - 5 then f(-2) =

A: To find inverse function.

Q: Determine the distance from the point (2, 10, -9) to the plane 8x - 3y +7z = -5

A: Given: Point (2,10,-9) and  Plane 8x - 3y +7z = -5 or 8x - 3y +7z +5=0

Q: f(t) = - 16t² + +268t + 10 is the height (in feet) of a ball launched straight up t seconds after it…

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Q: The radius of a sphere is measured as 6 centimeters, with a possible error of 0.025 centimeter. (a)…

A: Given the radius of the sphere is 6cm with a possible error of 0.025cm   We are required to finda.…

Q: Integrate csc^5x dx using integration by parts

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Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: 2. Write the equation (do simplify, but do not integrate!) for the arclength of the graph x=e¹y=e²¹…

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Q: 10).  Compute the Taylor series of the function around x = 1. f(x) =  x 4x − 2x2 − 1 f(x) =  ∞…

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Q: K Determine the horizontal asymptote of the function. If none exists, state that fact. 2x+3x³-6 5x°…

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Q: 40% of 60 is

A: We have given to find  40% of 60  So, 40% of 60 = 40100×60 = 24

Q: Consider the following function. f(x) = x² - 8x + 7 (a) Find the critical numbers of f, if any.…

A: Given a function f(x)

Q: 6.2 If 20% of x equals 7, what is x?

A: Solve the following

Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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Q: Use the ratio test to find the radius of convergence of the power series 4!x² (21) ² 1+ 2x + + 6!23…

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Q: A bail is launched straight up in the air from a height of 7 foot. Its volocity (foot/scoond) 1…

A: Given:       ft=-32+280 Average velocity from 3 seconds to 8 seconds is:  Average velocity =fb-fab-a…

Q: answer

A: We have to write the definite integral  such that represent the area according to the given…

Q: (√a +2√b)(√a-2√√6).

A: we know that  (a+b)(a-b)=a2-b2

Q: So I've √x 2 xcosy y³ dy dx

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Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

Q: A Sno-Cone at the carnival has the shape of a hemisphere on top of an inverted cone. What is the…

A: To find the volume of sno cone.

Q: lim (2x² - 6x - 3). x-3

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Q: A graphing calculator is recommended. Use the graphical method to find all solutions of the system…

A: Given  x29+y218=1 and y=-x2+6x-6

Q: Compute the average value of f(x): = Average value = X 1 4x + 3 on the interval [2,6].

A: Given query is to find the average value of the function.

Q: 10. Let C[a, b] be the vector space of all continuous functions on the closed interval [a, b]. Prove…

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Q: KIf y=9x+ 3 . 8 The value of find dy dx dx at x = 1. at x = 1 is (Simplify your answer.) < Question…

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Q: Question 3. Find the orthogonal trajectories of the family of curves y x+k

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Q: Definite Integrals Course Packet on the average value of a function Compute the average value of…

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Q: y=x+7, y = 9-x²

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Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-33. Partition [0,6] into three…

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Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: Suppose a state lottery prize of $4 million is to be paid in 20 payments of $200,000 each at the end…

A: Given Lottery prize $4×10⁶ Paid in 20payment of =$200000each  Time period= 20year  Rate =10%annually

Q: rectangular building is to be built on a triangular corner lot with the perpendicular sides equal to…

A: We will find the required  maximum area.

Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: √3-4

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Q: Evaluate the integral. 16-T² IMEL /16-² 16- 1 √16¬x²−z² (x² + y² +22)¹/2 dy dz dz = [

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Q: ӨР

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Q: Solve the given LDE using the method of variation of parameters. D²+1|y=cscx

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Q: Evaluate the integral: 2 √√4-2² ○ 4π [²4] -1 21 02[1-4] e4 021-4+0 ㅠ -1 e4 dydx -√4x² ex² + y²

A: Answer is in step 2.

Q: a) log (x² - 1) - log (x − 1) = 1 b) log4x x = 2

A: Given query is to find the value of x.

Q: Evaluate lim x-4 3 cos(x) 2x 1. limit 2. limit 4. limit = 318 3. limit doesn't exist 3 cos(4) 16 6.…

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