Let b = - 1.5 and B= (b1.b2}. Use the figure to estimate [x]g. [yle. and b2 = y= - 5 1.25 [z]g. Confirm your estimates of [y]le and [z]g by using them and (b,.b2) to compute y and z.

Q: The derivative of z at z e is equal tol. Select one: O a. False b. True

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Q: Use e – 6 definition and show that the function 4x² – y? if (r, y) # (1, –2) 2r + y f (r, y) = • 4,…

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Q: t) Find the equation of the tangent plane z = e° + x + x° + 7 at the point (5, 0, 3138). z =|

A: The answer is found in step-2.

Q: Suppose the fanetion f (t2=te Vepreseuts the Velocity cmeasured in meter/second) of an object at…

A: f(t)=te-2t

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Q: Show how to make a quick estimate (to two decimal places) of V(4.98)² – (3.03)² without using a…

A: Given we have given  4.982-3.032

Q: Differentiate the following function. y= e x6 to d y' = %3D dx Teto %3D

A: Given : y = ex6

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Q: Let Q(t) = t2. Find a formula for the slope of the secant line over the interval [1, t] and use it…

A: the slope of the secant line over the interval [1, t]   For slope of the tangent line, replace t…

Q: Use the total differential to find the slopes of the indiffa of the following utility functions: a)…

A: a) slopes of the indifference of the following utility functions  ux1,x2=x1x2 mux1=dux1,x2dx1=x2…

Q: (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical…

A: d) From part c) the slope of the line DC is 100-h taking limit of this value as h→0…

Q: 1. For the square root function f(x) = V¤, (a) calculate an equation for the secant line connecting…

A:

Q: Let Rx) = o, Suppose that fy) is 7 times as large as R2). How do y and z compare? (Round your answer…

A: Given : fx=cx3.29  fy=7fz→1 Then  fy=cy3.29fz=cz3.29 So from (1) we have…

Q: find the va;ue of y at x=9 round to the nearest hundredth "x " " 0 " " 1 " " 2 " " 3 " " 4 " " 5 "…

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Q: Let x(t) = 3t, y(t) = 8t*. Then the slope of the tangent at t = 9 is O 12

A: The curve is defined by the following parametric equations xt = 3t ,  yt = 8t32 To evaluate : The…

Q: (2) The following data were collected for the distance traveled versus time for a rocket: 1, s 25 32…

A: We calculate the velocity by forward differences v=32-025-0=1.28 km/s for time t=0. The formula for…

Q: The volume of a right-circular cone of radius r and height h isV = π/3 r2h. Suppose that r = h = 12…

A: Consider the given: Volume,V=π3r2hr=h=12 cmDifferentiate w.r.t. "r",dV=π32rdrh    ⋯⋯11cm increase in…

Q: Find an equation of the tangent plane to the graph of F(r, s) at t F(r. s). - (3r4 1 + 1), (-1, 1.…

A: Introduction: Let z=f(x,y) denote the equation of a surface S in R3, and P=(a,b,c) denotes a point…

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Q: Write a chain rule formula for the following derivative. dw for w f(p,q); p= g(x,), q = h(,) O A. aw…

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Q: Let f'(z) = tangent line to the graph of the function h(z) = g(13x+3) at e and g(x) = f(/#). Let L…

A: Given, f'x = ex2  gx = fx L is the slope of the tangent line to the graph of function hx = g13x+3 at…

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Q: Let f(x) = 2x³ – 9x² – 24x + 19 A. Differentiate f. B. Determine the values of r , if any, at which…

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Q: Q1 The following data is provided for the velocity of an object as a function of time: t, s V, m/s 4…

A: Answer is mentioned below   Please upvote if you like it. Thank you

Q: Find the equation of the tangent plane to f (x, y) = 6x² – 12xy + 12y² having slope 12 in the…

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Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

Q: 1. For the square root function f(x) = VT, (a) calculate an equation for the secant line connecting…

A:

Q: For a t-curve with df = 4, find the t-value to o5: O A. 2.132 O B. 1.645 O C. 2.353 O D. 4.604

A: Provided information: Degrees of freedom, d.f. = 4

Q: Let N=f(t) be the number of candy bars my son Ben has consumed by age t in years. Interpret…

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Q: On what interval is the following curve concave downward? (Enter your answer using interval…

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Q: Let Q(t) = t2. Find a formula for the slope of the secant line over theinterval [1, t] and use it to…

A: the slope of the secant line over the interval [1, t]

Q: 140 W

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Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(t)…

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Q: 23.9 The following data were collected for the distance traveled versus time for a rocket: 1, s y,…

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Q: Recall that the volume V of a circular cylinder with a base of radius r and height h can be…

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Q: the avrage velocity of p(t)=4.5t^2-15t+180 over[1,5]

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Q: Consider the function f(x) = e^x2−6x+5 . Find the value(s) of x at which the tangent line is…

A: Given thatf(x)=ex2−6x+5ddx(f(x))=ddx(ex2−6x+5)               =ex2ddx(x2) −6               =2xex2-6

Q: For which values of a ER is the function f(r + iy) = (a²x – axy) + i ax? + ay %3D an entire…

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Q: Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph of,…

A: To find the gradient of the tangent line of the point (5,1) on the graph of x+xy+2y2=12 Formulae…

Q: : Find the Lablacion of the following function z = f(x, y) = ye* cos y

A: Follow the steps.

Q: Find the DE of each of the follo wing by elimina tins the arbitrary constants y = A secx-B

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Q: Find the R.M.S. value of Jlogx over the range x = 1 to x = e.

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Q: For each slope below, enter the value correct to four decimal places. f(x + h) – f(x) Let f(x) =…

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Q: 12 Find the slope of the tangent line, m, of g(x) = 3x2 −2x+ 4 at x = 2 a. m = 12 b. m = 3 c. m = 0…

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Q: f(x, -0.0494 -0.3662 etter estimates by using Ar = 0.01 and Ay = 0.01. %3D 0.0516

A: Here we have to use difference quotients with ∆x=0.1 and ∆y=0.1 to estimate the fx(1,3) and fy(1,3)…

Q: If y1=2x+4 and y2 =x^2+C, find the value of C such that y2 is tangent to y1

A: Given: y1=2x+4    and    y2 =x²+C   To find :the value of C such that y2 is tangent to y1

Q: 1. For the square root function f(x) = V, (a) calculate an equation for the secant line connecting…

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Q: [Q4] For the following continuous pdf, find: (a) F(X), (b) P(80 SXS 120). 2 x 10 (r+100) for r>0…

A: Solution

Q: For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

A: