Given the following function y = 9 x -9 x - 7, find the value for dy as x changes from 8.1 to 8.2. dy = Number

Q: Differentiate the following function. r(t) = (e'.4 e ,-9e 3") (1e 6- r'(1)=

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Q: Find the slope of the following implicit functions at the given points. |v² – 4xy| – 4 = 0 at…

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Q: Suppose that I was 2.4 kilometers (note the units!) away from home when I made the realization. What…

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Q: Find the value of the constant c that makes the following function continuous on (-o, c0). x? - c if…

A: we have to find the value of constant c that makes the following function on (-∞,∞) f(x)=x2-c…

Q: Q2: What are the extreme values of the following function? F (x,y)= 5 y sin x 1 Add file

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Q: For each of the following functions, find dy and evaluate when x = 2 and dx = 0.2. a. y= xel-2x b.…

A: By using differentiation property, we calculate the value of Dy.

Q: Find y" of the given implicit functions. 42. x + xy = 9y 44. x? + y? =r? %3D

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Q: Ex.12: Suppose that the temperature of a rectangular heated plate is described by the following…

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Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: ди ди ди I. Find , and (whenever possible) for the following functions. az дх ду 1) и %3 Зх?у +…

A: Given problem:- 3) u= x/y +2y/z -3z/x  Find ∂u/∂x, ∂u/∂y, ∂u/∂z

Q: Find dy for the following functions. y=6x2

A: We have the given function as   y=6x2 We have to differentiate it

Q: When f"(x) is negative, the curve of y =f(x) is concave A downward B upward c) to the left D to the…

A: when f''(x) < 0,than than curve of f(x) is concave downward option (A) downward

Q: The function fix) as the following derivative: f'(x) = 32x"2 + 9 1/2 You are given that f(0) = 3.…

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Q: 3 h(x) = Vx – 2e* + 5x¯5 – 7 In x h(x) = VZx +– 3e* – 4 cot x

A: Here we will use the formula D(x) = 12xD(ex) = exD(xn) = nxn-1D(lnx) = 1xD(cotx) = -cosec2x

Q: For the following functions and values of a, find ƒ′(a).b. Determine an equation of the line tangent…

A: Given: fx=1x; a=14 we know that point on given function is given by a,fa so, point on curve will be…

Q: Differentiate the following function. f(x) = e 3x +5 d (e 3*+5) dx II

A: The Chain-Rule of derivative states that ddxfgx=f'gx·g'x.

Q: Find for the following functions. dy dx a) y = xe2x +5x b) y = x° +(x - 2)° + 10x c) y = 5 (5x -8)

A: Note: As per our guidelines we are supposed to answer only the first three subparts. Kindly repost…

Q: For the following functions find dx² ' f(x, y) = xª + xy³ +

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Q: For each of the following functions, find dy and evaluate when x = 2 and dx = 0.2 a. y = xe1-2x b. y…

A: Part(a) We have y=xe1-2x First, we find dydx We can use the product rule of derivatives, which is:…

Q: Find dw for the following functions and dw e 2- X+ツ

A: This question can be solved using the concepts of partial derivatives.

Q: Determine for the following function: dy dx y=xヤ ヤャ (3lnx) 十++ 2(3lnx +1) ++e (3lnx + 1) 2(3lnx)

A: dy/dx = ?

Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: Given the function f(1) = V-3x +3. Calculate the following values: Note: Round the answer to two…

A: The given function is: f(x)=-3x+3

Q: dy of the following functions. [1 mark ] da A5) Find (a) y = sec(4x²) [ 0.25 mark ]

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Q2: What are the extreme values of the following function? F (x,y)= 5+ (y sin x) *

A: Extrema: - The relative extrema of a function are locations on the graph of a function where the…

Q: Find the value of the constant c that makes the following function continuous on (-0, 00). са + 4…

A: We will solve the problem

Q: Consider the following. y = f(x) = 11x2 + 8x (a) Find the average rate of change as x changes from…

A: Average change = {f(x2)- f(x1)}/(x2-x1)

Q: Differentiate the following function. f(x) = - 2 e 4x d (-2e **) =D - 2 e 4*) %3D dx

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Q: Suppose f(x, y) = 2 sin(11xy) and g(x, y, z) = V144 – x² – y² - 2². Find the following function…

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Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants.

A: Given, f(t)=t cos 8t + 2 Taking Laplace transform, we get L{f(t)}=L{t cos 8t + 2} ⇒L{f(t)}=L{t cos…

Q: Given the function y=x3+x2 - 2x+ 1, which of the following statements is true for when x changes…

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Q: Show that the following 2 functions are NOT the solution to + y = 0 d² y = tan x y = x2

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Q: Graph the following functions and use what you see to locate and estimate the extreme values,…

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Q: dy Q5: - Find for the following functions: dx 1) y = 3x? – 2Vx+ 2) y = (x – 3)(1 – x) 3) y =-t +

A: In the following steps we can find out the derivative of the function with respect to x

Q: Differentiate the following function. 3 f(x) = 9 e 9 e dx %3D

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Q: Find (ho g)(x) for the indicated functions. h(x) = Vx+4, g(x) = x+3 (ho g)(x) =D

A: Given,          hx=x+4 , gx=5x+3

Q: Given that f(1) = 2and f′(1) = 3, find the following values or state that the value cannot be…

A: We will differentiate the relation between f and f-1…

Q: O:A- Find for the following functions: - 1 . 1+secy =1+x* 2- If y =1 and t = v2x +1

A: Given  1) The equation is  xy21+sec y=1+x4

Q: Find dy for the following functions (メ+リ)+(メーツ)ニxャガ 4.

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Q: Solve for the following functions. Given the following functions: f(x) = 2x + 8 g(x) = x2 - 5 h(x) =…

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Q: What is the value of b3 for the following function? for t = -T, cos 2t for t €]- 7,0[, f (t) = for t…

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Q: s dx 2

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Q: Suppose y=f(x) is an even function. If , f(x) dx =7 and 25 So f(x) dx 25 16, find the value of S…

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Q: You have been given the following level curves below. Which of them match the ones for this…

A: Level curves: The level curves of the function fx, y is the graph of the equation fx, y=k, where k…

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: The area of mold A is given by the function A(d) = 100 * e^0.25d. When will this mold cover 1000…

A: Put A(d)=1000 find d=?

Q: Differentiate the following with respect to x: d) e 2

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Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.