Use the tangent line to the curve  x7 + y2  =  x + y  at the point (1, 1) to approximate the y-coordinate of a point on this curve where x  =  0.97.

Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

A:

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ"(x)(x − b)dx - a

A:

Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A:

Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

A:

Q: Given that f(x)= Only one item from the answer bank will be used to complete each category. Not all…

A:

Q: For the vectors u = 37 - 8j + 2k and v=4i - 23 - 4k we have ū × v = 28i + 20j +38k. Select one: O…

A:

Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

Q: Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx…

A:

Q: For this interval notation, draw its graph and write its equality: (-∞0, 6]

A: The given interval is .The aim is to sketch the interval and write its equality.

Q: question e,f

A:

Q: 1. Find the derivative of: a. y=(x-1/x+1)^2

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: If C(x) is the cost of manufacturing an amount x of a given product and $10 is the price per unit…

A:

Q: Suppose the solid W in the figure is one- quarter of a circular cylinder of height 4 and radius 6…

A: Suppose the solid W in the figure is a one quarter of a circular cylinder with a height 4 and radius…

Q: Find the absolute extrema (max and min) of f(x,y)=3x^2-2y^2 over the disc x^2+y^2<=1. Indicate all…

A:

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A:

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

A:

Q: Evaluate the double integral over the given region R. (18y² - 10x)dA R: 0≤x≤4, 0≤y≤3 R SS (18y² -…

A: evaluate the double integral over the given region  R: 0   0

Q: What is a function that could have 17 X Question Help: Message instructor Submit Question Jump to…

A:

Q: C T 3 2 1 To find the blue shaded area above, we would calculate: b So f(x) dx Where: 1 2 3 4 f(x) =…

A: We have to use the graph to find the integral substitutes and area  under the graph

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

A:

Q: S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

A: To find the equation of a line parallel to y=−4x+4 and passing through the point (4, -21), you can…

Q: find maximum rate of change of f(x,y)=x sin(y) @ the point (2,0)

A: To find the maximum rate of change of at the point .

Q: Find the general solution of the first-order linear equation dy dx + 2y = e²x

A:

Q: Consider the integral approximation T20 of fo 2e-4 dx. Does T20 overestimate or underestimate the…

A: Here And Now,         ..........(1)

Q: Solve the second order. 1. eq Y Ý + Y

A: The given differential equation is

Q: Solve the second order. Dieg - Ý - ý syes 1 39

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

A:

Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: Find d'y dx² if f(x) = 3x³ (√x − 2).

A:

Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)&gt;0 for all x in I.The function f is decreasing on I if…

Q: Find all critical numbers c of f(t) = 3t²/³ +t5/³.

A: f(t)=3t2/3+t5/3

Q: Let (a) (b) (√x + ²) dr + (y² + ln(2x)) dy=0, x>0. Check that this is an exact differential…

A:

Q: Evaluate the following integral, (9x - y²)dx + xy dy where C is given by x X = 5t, y = √t, 0 ≤ t s…

A:

Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

A:

Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

A:

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

A:

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

A: Please solve the given problem using the concept of derivatives.

Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

A:

Q: 1) fx²e-3x dx/

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

Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A: To find the parametric equations for the line segment that joins the point .Note: Since the student…

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

A:

Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

Q: The following data show the number of months patients typically wait on a transplant list before…

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: Find the general solution of the ODE: y' y²-6y+10 = 1 =

A:

Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

A:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…