Let f (x) = √√x² +8. f'(x) = f'(2) = Number f"(x) = f" (2) = Number

Q: Recently, a certain bank offered a 10-year CD that earns 2.43% compounded continuously. Use the…

A: A certain bank offered a 10-year CD that earns 2.43% compounded continuously. We have to find the…

Q: Calculate R8 for f(x) = 9 - x over [3, 5]. R8

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Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

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Q: Suppose that the percent p (as a decimal) of people who could correctly identify two of eight…

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Q: Evaluate the definite integral: Lo 8 dx

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

Q: Solve the following differential equations. y' = y ( xy3 - 1 )

A: The given differential equation is; y' = y ( xy3 - 1 )

Q: Consider the following. y = x³ 3x + 6 10 9 8 4 f 3 1 2 -4 - 3 -2 -1 relative maxima relative minimal…

A: Given data÷ fx=x3-3x+6

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Q: If f is continuous and T f(x)dx=4,

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Q: omework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7133570 : Models Question 4, 3.4.7…

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Q: Derivative of 7x^2/3

A: We have given to find derivative of  7x23 Let,  y=7x23 Derivative is given as  dydx=ddx7x23 dydx=7…

Q: 1. Determine the differential equation by elliminating the arbitrary constants y = A·e + Bxe*+ Ce*

A: Differentiate given equation 3 times and solve equations to get differential equation

Q: Use reference angles to evaluate sec (137). Enter the exact answers. For the number 7, either choose…

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Q: Use spherical coordinates. Evaluate III. xyz dv, where E lies between the spheres p = 4 and p = 6…

A: We know x=ρsinϕcosθ , y=ρsinϕsinθ,z=ρcosϕ

Q: The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4…

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Q: lim Z-0 /52 +196 – 14 I

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Q: (x)=4(10x7−9x4)14   find derevative

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Q: Find the total area of the shaded region boundeed by the following curves: x = 12y^2 - 12y^3 x =…

A: The given curves are: x=4y2-4y           and            x=12y2-12y3

Q: 2 8 I Identify the factors of each expression to figure out the name of the Indian mathematician who…

A: Here, We have given some algebraic expressions now we have to find out their factors and then we…

Q: find dy/dx   y^y =x^x

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Q: No sorry it wasn't meant to be done for each individual one, it's one option for the listed ones…

A: Given, the equation of a helix:rt=bcost i+ bsint j +1-b2 k We need to find the interval of t to find…

Q: 3. Obtain the Particular solution of the differential equation (y² + when: x= 1 +7-x-y + 16-x²).dx +…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Suppose we have the following utility function: U(x,y)=x0.²5 y75 1) Calculate the marginal rate of…

A: Given function: Utility function: Ux,y=x0.25y0.75

Q: Weight of an Astronaut. The weight W on an object varies inversely as the square of the distanced d…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Finding the partial derivatives of z by implicit differentiation X² + y² + z² =25 SOLVE THE PROBLEM…

A: Given, x2+y2+z2=25

Q: Consider the function f(x) = 4(3)ª Construct a table of values for this function. X -2 -1 f(x)

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Q: Given that f'(x) = cos(x), f'(π/2) = 11 and f(7/2) = 11 find: f'(x) = f(x) =

A: Please see the below picture for detailed solution.

Q: Solve the following DEs (in implicit form): (a) [x² + cos y ]dy + [2xy]dx = 0 dy (b) _xy − y² + (1 −…

A: Note:- According to guideline we can do 1 question so i am solving first question all sub parts.

Q: y varies jointly as x and z and inversely as w, and y=3/2 when x = 2,z = 3 and w = 4. Please explain…

A: Given,y varies jointly as x and z and inversely as w,  y=xzw

Q: dy Solve the following implicit partial derivative dx and select the correct answer:…

A: sol is given below..

Q: We have an unknown function f(x) which satisfies    f''(x) + f'(x) -2f(x) = x2 The first term is the…

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Q: First use appropriate properties of logarithms to rewrite f(x), and then find f'(x). 6 X f(x) = 7 In

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Q: 3 Let f(x)=√x

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Q: Simplify completely. Assume the variables represent positive values. 9√175x³ 4x√28x

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Q: Suppose that a patient receives an injection 9 mg of a certain drug and that 60% of the drug is…

A: It is given that The initial amount of drug intake=9 mg60% of the drug metabolize each day

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The pressure is =24.774 atmospheres

Q: Find the exact value of sin sin 3 (3/2) 3

A: Given query is to write the exact value of sin(π/3).

Q: A 4-pen kennel of 1,000 square feet is to be constructed as shown. The cost is $20 per foot for the…

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Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: The world's population grows at the rate of approximately 2 % per year. If it is assumed that the…

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Q: Find the total area of the shaded regions. (-2,8) 10- 8- ty=2x² 6- 4- 2- (2,8) y=x²-2x² X

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Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

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Q: Find an equation of variation for the given situation. 5. y varies inversely as the square of x,…

A: Given, y = 0.15 when x = 0.1

Q: A) The area under the curve y 8 2² from x = 1 to a = t is equal to B) The area under the curve from…

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Q: Use the 1st derivative test to find the intervals where the function is increasing or decreasing 3.)…

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Q: ln(x) (y + ln(x)) dy - ((y ^ 2)/x) dx = 0

A: Separate the variables.

Q: If xy + 3x = -3 then find at the d²y dx² point (1,-6) in simplest form.

A: Given query is to find indicated derivative.