Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. x²y² = 49, (1,7) dy dx The slope of the curve at (1,7) is (Simplify your answer.)

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

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Q: Q14.1.6 Find the domain of each of the following functions of two variables: a. \ds √9 - x² + y²-4…

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Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

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Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

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Q: Use the Chain Rule to find dz/dt. z = xy² - x²y, x=t² + 1, y = t²2² - 1

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Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

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Q: Find the general solution of each of the following. dy_(y² + 4) lnx In(y² + 4) x dx

A: Here is the solution:

Q: Consider the following graph of y = f(x): s What is the lim fx f(x) x-0 A.0 B. 1 OC. -1 D. 2 E. The…

A: From the graph we can see that as x tends to 0, f(x) tends to 1.

Q: Evaluate the integral. 5 1³w² w² In(w) dw

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Q: question 13. y' - 5y = 0, y(0) = 2

A: We have to find the solution of given differential equation.

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Q: f(x)=5sin(2x) - 2x² - 4x Find the maximum or the minimum of the function using newton's method of…

A: Newton's method of optimization is the general method for finding the minima or maxima of the given…

Q: Find dy dx 14.) y = x¹ - 7x

A: To find derivative

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: A detailed solution is given below.

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 50x + 0.6x²…

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Q: For the function f(x, y) below, determine whether there is a value for c making the function…

A: The transition value is x = 4   The function f is continuous at all points (x,y) where x is not…

Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: 1. 7. What is mos(+h)- cos(2), ? h (A)-1 (B) - √2 2 (C) 0 (D) 1 (E) The limit does not exist. 2 If…

A: 1 limh→0 (cos(π/2 +h) -cos(π/2))/h limh→0 sinh/h - 0 this is formula so answer  = 1 answer D is…

Q: 8. f(x,y)=xlnx-yln x

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Q: 18.) Find the derivative.

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Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: 3.) Using the Graphing method, find the limit. When necessary, state that the limit does not exist.…

A: The given function, Gx=2+x,for x≤-1x2,for -1<x<39,for x≥3 We have to sketch the graph of the…

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2x 3

A: Given, limx→12x+2-x3

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

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Q: Sketch a quadric surface that could have the traces shown. Traces in x = k O k = ±2 k=+1 k=0 Traces…

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Q: Consider the equation below. x² + y² - 2x - 8y - z + 17 = 0 Reduce the equation to one of the…

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Q: Find the discontinuities of the function f(x) = = discontinuity and redefine if removable. x-1 ex x…

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Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

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A: At the end of one year population = 20000 increased by 4%  a. Population at the end of 2nd year

Q: Use the tabular method and the properties of limit to find the limit lim ex-4 X-4

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Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: At which value of y does the relative minimum for the curve y = 3x³ - 3x² - 24x + 10. A. -19.5 B.…

A: Given:      Curve y=3x3-3x2-24x+10 differentiating the equation      f'x=ddx3x3-3x2-24x+10…

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: (0) +27= 10; 7(0) = 0,

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Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: Evaluate the expression 3-³6².

A: Given, 3-362

Q: 3. Calculate the angles that vector H = 3ax + 5ay y-, and z-axes 8az makes with the x-

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Q: 21-22 (a) What are the domain and range of f? (b) What is the x-intercept of the graph of f? (c)…

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Q: .(a) In the 3 Significant Decimal Digits, Rounding system, Floating Point Number System, compute the…

A: Concept: Finding the value of xmid*=a+b2.00error in xmid*=xmid*-xmidrelative error=∆xmidxmid% error…

Q: A curve passes through the point (0, 2) and has the property that the slope of the curve at every…

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Q: ← The table shows projections of sales (in billions of dollars) of hepatitis C treatments for a…

A: Given data:-   Year Sales 2012 4.3 2013 4.4 2014 6.5 2015 8.1 2016 9.8