Given that; f(2)=2, f'(2)-3 g(2)=6, g'(2)=4 Calculate the following (fg) 2= (f/g)'(2)= (g/f)'(2)=

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

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A: Vector u→ in the same direction  of p→ with length of a=ap^=ap→p→ Vector u→ in the opposite…

Q: Using Boole's Rule, evaluate the integral of a. √x cos(2x² + 7)dx b. In(x + 2) dx

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Q: In Problems 2-4, find the domain of each function and evaluate each function at x = -1. 2. f(x) = V4…

A: I have solved step by step in detail.....go through the solution

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A: The given function y=-2x3 at the point 1,-2 We have to find the equation of the tangent line and…

Q: 5. Let f(x,y)=2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: Given function:- fx,y=2x+yx-2y

Q: The monthly demand function for a product sold by a monopoly is p = 1,692 - x² dollars, and the…

A: Demand function p=1692-13x2Average cost c=900+14x+x2

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A: When the slope is infinte then equation of the tangent line is a vertical line x=a where (a, b) is…

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Q: Find the limit. -0.4 lim X-6-X-6

A: Given; Limx-6-  -0.4/(x-6)

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your…

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Q: 4. The marginal profit from making and selling x products per day is P'(x) = 350 + 4x - 3x² Find the…

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: The extreme value problem with both a maximum and a minimum value.Use Lagrange multiplier to find…

Q: Consider the following function. t(x) = (x − 4)² + 7 Step 3 of 4: Find two points on the graph of…

A: Given that t(x)=(x-4)2+7-(i)Our Aim is to find two points on the graph of the parabola other thanthe…

Q: y(2x² − xy + 1)dx + (x − y)dy = 0 - - (x² + y² + 1)dx + x(x − 2y)dy = 0 - y²dx + (3xy + y² − 1)dy =…

A: As per bartleby guidelines we only give first three question answer. Please repost for other parts.

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: See this solution in below.

Q: Consider the function f(x): = You may use the facts that f'(x) = needed. x² x² + 4 a. Find the…

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Q: 5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if…

A: Topic -Permutation and combinations When order matters in selection, we use permutations . When…

Q: 0 Exercise 7 Limits The following graph of the function f satisfies limf(x) = 2 . For & = 3 find a…

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Q: 3. Find the largest domain (in R2) for the function In(y-1) √x f(x, y): =

A: The given function fx,y=lny-1x We have to find the domain of fx,y

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions n=4…

A: Given query is to find the function.

Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: Q is the region bounded by the graph of u(y) formed by revolving Q around the x-axis. Submit an…

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Q: Evaluate the integral using the FTC 1: [₁(8x² + 7x5) dx = =

A: Given query is to find the value of the integral.

Q: If f(x) ƒ'(x) = f'(5) = places) = 3 sin r 3 + cos x then (round to 3 decimal

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Q: Differentiate the function. g(x) = = 1 (3x³ + 5x + 8)3/4

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Q: Divide using long division. State the quotient q(x) and the remainder r(x) 24x to the fourth + 21x…

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Q: Define R as the region that is bounded by the graph of the function f(x)=√x+2, the x-axis, x = -1,…

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Q: 9. Find each partial derivative : (a) 8³% дудх2' (b) ეპიც əxəyəz' for z = ln (sin (x − y)). for w=…

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Q: Consider g(y) = 7y(3 – y) ¾³ Determine the intervals on which g is concave down. O g is concave down…

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Q: Function Operations Given the functions: f(x) = 9x + 7 and g(x) = 3x - 6, determine each of the…

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Q: A clothing business finds there is a linear relationship between the number of shirts,n, it can sell…

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Q: Water is being poured into a reservoir with the shape of an inverted circular cone at a rate of pi/2…

A: Ans=1/18 ft/sec  For detail...go through the solution...I have solved step by step in detail

Q: Evaluate the integral 4 * √i(4+t) dt

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Q: Suppose that for a given curve defined parametrically, dy dx dt = sint. Then dx² dy dt = tant and

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Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

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Q: Find the derivative of the function. y = In(xvx²-8) y' =

A: y=lnxx2-8 Apply Chain Rule

Q: If w = 9x² - 4y, x = -6s+3t, and y = = Provide your answer below: Əw = Ət -4s + 9t, find dw Ət in…

A: Please see the below picture for detailed solution.

Q: Using the method of u-substitution, Se (6x - 8) dx = = [₁ f where U= du = a= b= f(u) = f(u) du…

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Q: Q is the region bounded by the graph of u(y) = formed by revolving Q around the x-axis. Submit an…

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Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: The given series is 10/n2, n from 1 to infinity.

Q: 5. Let w = f(u, v), where u = x + y and v = x - y. Show that дw ди дх ду = () - ( ) 2

A: Given, w=f(u, v) where u=x + y and v=x - y To prove: ∂w∂x∂w∂y=∂w∂u2-∂w∂v2

Q: on 5 Given original function AND x-1 x+2 3 (x+2)² f(x) = where f'=- Ari nolbar, press ALT+F10 (PC)…

A: We have given  f(x)=x-1x+2 and f'(x)= 1(x+2)2 Find interval of increasing and decreasing.

Q: i need help with, b, c and d

A: Part b: A horizontal asymptote of a graph is a horizontal line y=b if the graph approaches the…

Q: Please show your answers to at least 4 decimal places. Suppose that ƒ(x, y) = x³y². The directional…

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Q: If 1 f(æ) = tanh-Và then f'(x) = 0

A: Given: fx=tanh-1x4 To find: f'x Required formulas:  ddxtanh-1z=11-z2 Power rule: ddxxn=nxn-1 Chain…

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

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Q: Given f(x) = 3 sinx, determine the value of c on (0, - 2 by the Mean Value Theorem. c Ex: 1.23…

A: Topic - Mean Value theorem We are given, f(x)=3sin x  ,  0,3π2 We know that ,by mean value theorem…

Q: 1. Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog?

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