Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

Q: For the function f(x, y) = - 4x² + xy - 2y² - x + 2y 1, find a unit tangent vector to the level…

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Q: Use the quotient rule to find the derivative of the given function. Then find the derivative by…

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Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

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Q: You are testing the claim that the proportion of men who own cats is smaller than the proportion of…

A: Total people= 100+60=160

Q: Decide whether the series k=1 1 k7 + 3k + 6 converges.

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Q: 2 Weight Gains 12. The graph at the left shows the weight of a baby and the weight of a puppy for…

A: Given graph:-

Q: Evaluate the integral by converting to polar coordinates. 3 6² 6² cos(x² + y²) dy dx = 0

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Q: the rest are hot dogs. What is the ratio of the number of hot dogs to the number of hamburgers? Y…

A: Given query is to find the Indicated ratio.

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

A: Let number of days plant A operates be x and plant B operates be y We have to find Min Z = 830x +…

Q: Use logarithmic differentiation to compute the derivative of y = +3)³(x8-5)8 (x5 + 8)7 (+6+

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Q: Let - 20x² - 2xy + 6y² - 106x - 46y - 72 = 0. dy dx Use partial derivatives to calculate dy da at…

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Q: 18. fixy=lnx, evaluate limpso f12th)-fias

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Q: Consider the function f(x)= lim X→∞0 a. Evaluate lim f(x) and lim f(x), and then identify the…

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Q: Concept check: Evaluate the following integrals: 1. dx (6-x²)z OIL

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Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

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Q: Given a nominal interest rate of 1.5% compounded daily (ie: compounded on each calendar day),…

A: Solution- Given Accumulated value after 9 years (A)=$20,000 Rate(r)=1.5% or 0.015 (annually)…

Q: Find the equation of the line tangent to the given curve at x =a. Use a graphing utility to graph…

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Q: 6349 #3 p. 114) Let y = f (x) = 1/4 x^2 + 3/x. Find the increment ∆y and differential dy. Find the…

A: Here we have to find the dy.

Q: Given an interest rate of 3.0% compounded continuously and starting principal of $15000, determine…

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Q: a. Find an equation of the tangent line at x = a. b. Use a graphing utility to graph the curve and…

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Q: Let bn = 8 2n + 7 Then, bn is positive, decreasing as n → ∞, and lim bn n→∞

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  so it can be…

Q: places. Find the direction in which the maximum rate of change occurs for the function f(x, y) the…

A: we will find the required

Q: • f (8. +12) de dx + • / ( 1 + ₁² + 0² - 2²/1) dx [sin(3x)dx

A: (1).The given integral is:∫8-x5+4x dx

Q: In the implicit function exy² + x² = 1, y is a function of x. Find an explicit formula for y and…

A: Given function:- exy2+x2=1

Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?

Q: Consider the following parametric curve. Find dy dx dx dy dx Find the value of dy dx x = sin(9t) +…

A: NOTE: Refresh your page if you can't see any equations. . substitute the given value of t

Q: Consider the following table, which shows a data set relating the number of full days hikers spent…

A: First we find the   regression line

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) The tasks are to find equations for:…

A: The solution is given below:

Q: Find the Taylor polynomials p3 and p4 centered at a=0 for f(x) = (1+x)-3. P3(x) =

A: The given function is:f(x)=(1+x)-3

Q: For the function, do the following. f(x) = + from a 1 to b = 2. \) Approximate the area under the…

A: The given curve is  f(x)=4x

Q: 36. a) Find the length of the curve: y = 2 In (sin(x)); ≤ x ≤¶ b) Find the surface area of the curve…

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Q: Express the location of (8, -2,-2), given in Cartesian coordinates, in spherical coordinates. Round…

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Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.

Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $9 the…

A: NOTE: Refresh your page if you can't see any equations. . x=ticket price   y=average attendance  the…

Q: Compute the second partial derivatives 2xy (x2+y2,2' Verify the following theorem in this case. 22f…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the critical point of the function: f(x, y) = 3 + 7x + 2x² - 8y + 3y² (x,y)= This critical…

A: The solution to find critical points of given functions are as follow.

Q: The function f(x) = 2x³36x² + 120x + 7 has one local minimum and one local maximum. Use a graph = -…

A: Topic - Application of derivatives We are givenf(x)=2x3-36x2+120x+7The local minimum is a point on…

Q: 4. Assume that f and g are differentiable functions for which the following is known. f(0) = 1, f(1)…

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Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Given z = x³ + xy¹, x = uv³ +w², y=u+vew дz dw then find: when u = 2, v = 3, w = 0

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Q: If then f(x, y) = 4x²+8y³ – 5sin(8xy) - fx (0, π) = -5 • Ignore "Give your reasons" below. There is…

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Q: 2. A rectangular plot of land is to be fenced in using two types of fencing. Two opposite sides will…

A: Let's find heavy duty and standard fencing should be used so it gives maximum area.

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Let f(x) = 2 sin(x). a.) |f'(x)| ≤| b.) By the Mean Value Theorem, f(a) − f(b)| ≤ la - bl for all a…

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Q: 1. a) Solve the following differential equations: ydx x i) -1 (tan-¹x) dy = ydx x² +1 (In x)dy, b)…

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Q: Concept check: evaluate the integrals using the appropriate method: 2. [ xsecxtanxdx

A: To evaluate the given integral

Q: Show that sin x < x for all x ∈ (0, 2π).

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Q: Find the center of mass of the region bounded by the semicircle x² + y² ≤ R², y ≥ 0 with mass…

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