PROBLEMS A. HE POSTED F(x) = x² +3 X a) Solve wing quotient rule. b) manipulate the function algebraically and differentiate without using the quotient rive.

Q: An object moves along the curve with equation 10+ 3967 S 8 6 5- 4 w to 3 da 2 1 10 -9 -8 -7 -6 -5 -4…

A: Observe the points on the graph for the limits and find the derivative of y with respect to x and…

Q: Answer d,e and f

A: Concept: The value of the x coordinate at the point where the graph intersects the x-axis, or…

Q: Given f (x) = x³ – 3x, What is the rate of change between domain [1, 3]?

A: Given f(x)=x3-3x

Q: 1. Simplify the following expressions: a) 12√7-9√7 3 b) 81- c) log 105

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Q: a.) Determine if exact, if exact, then Solve give 3 2 differential equation (x-y³ + y ² sin x) dx =…

A: If a differential equation of the form Mdx+Ndy=0 is said to be eaxt if ∂M∂y=∂N∂xthe solution of the…

Q: 1. For vectors ū and shown, drawu - 20 13 19

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Average Cost for Producing CDs Let the total cost function C(x) be defined as follows. C(x) = 1,000+…

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Q: 3) Using the same graph of the function below, estimate the instantaneous rate of change of the…

A: Instantaneous rate of change:- it is a change at a perticular point as tangent.

Q: y(3x² + y²)dx + x(x² + 3y²)dy = 0

A: Given differential equation, y(3x2+y2)dx+x(x2+3y2)dy=0....(i)

Q: Find the derivative of f(x)=√√8x³+27. O O O O a.) f'(x) = b.) f'(x) = d.) 1 2 3(24x3) 3 c.) f'(x) =…

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Q: Evaluate the derivative of the following function. f(x) = (5x)4x f'(x) = (Simplify your answer.)

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Q: 4. Solve the following equations: a) log 1000 = x + 2 b) 3x+¹ = 27 c) 2 = 8x X 16x

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Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the…

A: Topic - Application of derivatives We are given, p=-0.02x+620  (0≤x≤20,000)where p denotes the…

Q: Match the point in polar coordinates OA(2, OB (2, 3) oc(2-1) OD (-2,7) 7t • (-2., 71) ₁ X to the…

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Q: Evaluate L{(t− 2)³ H(t − 2)}.

A: `LHt-2t-23Use Laplace Transform table:   LHt-cft=e-csLft+cFor t-23Ht-2:  ft=t-23,…

Q: verify that the equation is an Identity. 1-sin 8 1+ sin 8 show that (sec- tan (sec 0-tan 0)2- Select…

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Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

A: We are going to find out

Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.

Q: f(x) = x² (+3 + 6)2' [-1, 1]

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Q: dz dz Consider the equation 9 sin (x + y) +5 sin (x+z) + 2 sin (y + z) = 0. Find the values of and…

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Q: Let z дz ?x дz ду = = Gexy³. Then:

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Q: Is the following function even, odd, or neither? Select the correct answer below: Even Odd Neither…

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Q: cx² + 2x x³. CX For what value of the constant c is the function f continuous on (-∞, ∞)? Let f(x) C…

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Q: Let f(x, y) = (- (x+y))³. Then 02f ?х у ә3f дхдудх ә3f дх2 ду о

A: This question can be solved by the concept of partial derivatives.

Q: How many fraction terms are there in the partial fraction decomposition of x³ + x² + 20 ? x(2x −…

A: Given :x3+x2+20x2x-53x2+2x+52

Q: 2. A log is dragged along the ground using a 120N force on a rope attached to the log and making a…

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Q: Evaluate the following integral. S S e 5x e 5x 5x e +6 5x+6 -dx -dx = ***

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Q: A differentiable function f(x, y) has the property that ƒ(4, 3) = 6 and fx (4, 3) = 6 and fy(4, 3) =…

A: Given; f(4,3)=6, fx(4,3)=6, fy(4,3)=3.

Q: - 2x +18 if x≤ -7 For the function, f(x) = 2 (a) f(4) x + 3 (b) f(-8) (a) f(4) = ♫ (Type an integer…

A: This question can be solved by using the concept of value of a function y=f(x) at a given vlue of x

Q: (a) Is it true that cos (2-60°)=2 cos 60°? Give exact answers in simplest form. (b) Expand cos…

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Q: S 2 x (4-x²) 3/² хр

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Q: Region 1 Region 2 (8, 16) area of Region 1 is opose the area of Region 2 is 10, and you know 12 12…

A: Topic:- application of integration

Q: Let f(x) = 3√√x If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

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Q: a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing…

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Q: Find the derivative of f(x) = 2x³log3(2x5-9). O O a.) b.) c.) d.) ƒ'(x) = · 16x7 (2x5-9)In3 f'(x) =…

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Q: Q-4) Determine if the following series is convergent or divergent: 1 5* integral test n (Inn)² Zn=2…

A: Solution

Q: After finding the partial fraction decomposition, 13x² 17x + 18 (x² + 3)(x − 3) J s - -dx = dx…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.009t² + where…

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Q: Assuming that b is positive, solve the following equation for b. b √ (4x-6)dx=20 1 be Round your…

A: Solve for the value of b

Q: Evaluate the indefinite integral. [2³√1 + zºdz + C

A: Topic- Indefinite integral we are given ∫x61+x6dxand we know that∫xndx=xn+1n+1+C

Q: Assume that the following has a linear cost function. Fixed Cost Marginal Cost per item Item Sells…

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Q: Find the following integral. 7e²√ dy: -

A: Let's solve given integration.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

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Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: Find all numbers b such that the average value of f(x) = 6 + 10x - 9x2 on the interval [0, b] is…

A: We can find the values of 'b' in the below steps.

Q: Find the partial derivatives of the function 7r² + 4s² + 2t² δω Ər dw Əs θω Ət || || || W =

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Q: Given f (x) = x² and g (x) = 2x − 3 find g(f(x))

A: See this solution in below.

Q: Suppose the density of a wire is given by p(x) = 0.7 +0.06 sin(2x) kg/m, where is the distance from…

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Q: 4) Show that every plane that is tangent to the surface x² + y² y² = z² contains the origin.

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