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Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: I need help with 45.

A: (45) We have proved that, f(a+b)=f(a)+f(b)Function : f(x)=x2−1 Example : f(2+3)=f(2)+f(3)⇒24=11So,…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Answers : A. fx​=6cos(2x+y)+5sin(x−y)B. fy​=3cos(2x+y)−5sin(x−y)C. fxx​=−12sin(2x+y)+5cos(x−y)D.…

Q: Use the arc length formula to find the length of the curve y=9-4x,-2 ≤ x ≤ 4. Check your answer by…

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Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Consider the graph of H(t) = k(1 - 6t) where k is a positive constant. (a) Find the coordinates of…

A: (a). Horizontal intercept : (61​,0)  (b). Vertical intercept : (0,k)   Explanation:

Q: what about the local minimum?

A: To find the point(s) of local minimum in the following graph.

Q: 10 9 со 7 6 5 4 3 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 Find the area inside the circle…

A: ​ Area inside the circle x2+y2=10 above the line y=6 is 44.7295​Explanation:Step 1:​Given a region…

Q: 3y²-3x² Find an equation of the tangent plane to the surface z = 3y² - 3x² at the point (3, 1, -24).…

A: Given that,z = 3y2-3x2

Q: Question The graph below represents the function g (a) and the graph gives selected values for the…

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Q: (c) [6 pts] In(x + 1) In(1 - x) = 2. I (d) [7 pts] 2.31-2x = 7.64+x

A: Question cx = 0 and 3 Question dx=−3ln(3)+ln(2)3ln(2)+3ln(3)+ln(7)​≈−1.835Another way of expressing…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Find the equation of the tangent plane to the surface x = 6x3 y3+7xy at the point (1,0, 6). z=…

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Q: https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following…

A: 1. The log of the ratio of solution ATo find the decay constant 'k': k = - (1/t) *…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: Determine the + intervals on which the curve x = 612, y = 13-31 is concave downward or concave…

A: x=6t2 ,y= t3-3tWe have to find interval of to for concave downward and concave upward

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Use implicit differentiation to find x³+3x²y+y³=8 dy dx

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Q: Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one:…

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Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: Examine the function and a A point C1 y= -Incx)

A:

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

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Q: dy Use implicit differentiation to find without first solving for y. dx ,5ry

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Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

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Q: Consider the equation x25 + y3 + z4 + sin(xy − z) = z2. Find ∂z∂x at the point(1, 2, 2)

A: The objective of the question is to find the partial derivative of z with respect to x, denoted as…

Q: Find the derivative off with respect to x of f(x) = In x 10 The derivative of f with respect to x of…

A: The logarithmic formula: ln⁡xm=mln⁡x .The derivative of logarithmic function: ddxln⁡x=1x

Q: Answer the following questions about the graph of g based on the information related to g′ and g′′.…

A: Given graph of g

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: Find the slope of the tangent line to the parametric curve x= t³ + 4t at the | y = t² + 3t point t =…

A: m= -253/52Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

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Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

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Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

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Q: Find the (linear) equation of the tangent plane to the surface z = 4y² - 5x² + x at the point…

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Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: Please see the explanation Explanation:Step 1:

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: based on the information provided, the approximate distance between cities A and B is 1955…