Show how to make a quick estimate (to two decimal places) of V(4.98)² – (3.03)² without using a computer or a calculator. Hint: Consider f(x, y) = Vx² – y2. 11.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x2+3x−5=2y2 −2y

A: We have to find derivative (implicitly ) with respect to x .Curve equation is given by:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 2−x−2=2y 2−2y

A: We have to find derivative of curve equation (implicitly).Curve equation is given by:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

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

A:

Q: a) f(x) = x² is shifted to the right 5 units, horizontally compressed by a factor of 1 then 3…

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Q: f(x) = xe (1+e*)

A:

Q: Describe the change in accuracy of dz as an approximation of ∆z as ∆x and ∆y increase.

A: Given , z=fx,yWe do dz using the partial derivates zx & zy .So , dz=zx.dx & zy.dywhere zx…

Q: Find the linear approximation of the function f(x) = /1 – x at a = 0 and use it to approximate the…

A: Given,

Q: Assuming that y is a function of x, differentiate x^9y^5 with respect to x. Use D for dy/dx in your…

A: by using chain and product rule of differentiationddx(x9y5)=9x9-1y5++5x9y5-1y'

Q: 19. y = In(e* + xe*) %3D

A:

Q: Find dy/dx and d²y/dx². x = t2 + 7, y = t² + 9t dy dx2 For which values of t is the curve concave…

A: Here we have to differentiate the given parametric equation.

Q: 9) Where is the function h(t) = (t + 5)"3 differentiable?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward?

A: x = t2 + 1 y = et - 1 dy/dx = dy/dt ÷ dx/dt

Q: Evaluate the derivative of the function r(t)=⟨lnt,3t+1,t2⟩ at t=1.

A:

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

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: Differentiate the function y = e0.4t. dy dt

A:

Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

A:

Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: Find the total derivative, (w? – 3w) dy of: y = f(x, w) 5x? + 4xw + w?, where r = g(w) --

A:

Q: Evaluate the derivative at the given value of x. dy Vx, find dx If y = 3 OA. 16 11 OB. O B. 16 11…

A: Differentiate the function y with respect to x to find dydx.

Q: Find the value of dy/dx at the point (-2, 1) for the function which is defined implicitly by x²y – -…

A: Differentiate wrt x

Q: Find dy/dx and dy/dx2. x = t2 + 3, y = t2 + 3t dy dx dy dx2 For which values of t is the curve…

A:

Q: Pls help

A:

Q: Find dy/dx and dy/dx². x = e, y = tet For which values of t is the curve concave upward? (Enter your…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Estimate V26 by using linear approximation of f (æ) = V¤ about the value x 27. Round your answer to…

A:

Q: Use the Quotient Rule to compute the following: t2 +1 d at t = 2 dt t2 The derivative is:

A:

Q: Find the derivative (dy/dx) of the following functions: h) у%3D Зx7 —7х3 + 21x2 - i) y = (x² +…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: e f² = ¹² Use Simpson's Rule to estimate dx with a maximum error of 0.1.

A: Simpson Rule According to Simpson's Rule, ∫abfxdx=∆x3fx0+4fx1+2fx2+........+4fxn-1+fx2

Q: Given the graph of f(t) below, f(t) dt = 0. %3D

A:

Q: Differentiate the following function. y = x12 ex dy dx II

A: To differentiate the function y = x12ex

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

A:

Q: dt F(x) = | 6+ 8t Find the interval on which the curve is concave downward.

A:

Q: Find dy/dx and d²y/dx². x = e', y = tet dy dx dy dx2 For which values of t is the curve concave…

A: Given a parametric equation,

Q: The slope of the tangent to the curve f (x) = 2" at x = 1 is approximately (to three decimal…

A:

Q: he velocity v(t) in the table above is decreasing, 2 raveled, find O An upper estimate = units

A: Here we have,

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x 4− 5y4 =11

A: We have to find dy/dx of curve equation (implicitly).Curve equation is given by:

Q: Evaluate dy for f(x)= (square root of x) +3 where x=9 and dx=0.12

A:

Q: The accompanying graph plots the best quadratic fit, a(t) = − 0.70t^2 + 1.44t + 10.44, to the data…

A:

Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: The third order derivative of the function y = In(1 – x) - at x = 0 is et O A. Undefined OB. C. 4 D.…

A: As per our guideline we supposed to answer only first question , kindly re post other as next…

Q: Find the point on the curve z = 5 sin(t), y = cos(t), - sts. closest to the point (2,0) . (Hint:…

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Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A: The given equation is,

Q: Calculate the error of approximation with Ea for the following functions when x = 2, Ax = dx = 0.08

A: If the input of a function y=f(x) changes, its output also changes. The derivative of a function is…

Q: Consider the following function: y = x*. dy dz ||

A: The given function is y=xx2. Rewrite the given function as follows. y=xx2y=elnxx2y=ex2 lnx

Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: Which among the choices has the derivative equal to (z+2)? O y = %3D 5 O y = Oy = %3D Z12 Oy= Z12

A: