The center of mass of quarter circle given by is the point P = ( Hint: Use symmetry. " ). 2 - x², y = √√√r²_ x = [0, r]

Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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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 derivative of the function. y = cos( 1 = 6³x) e3x 1 + y' =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Sketch a possible graph of the function f given the graph of f' below. Assume that f is continuous…

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Q: 5 0 x+√√(25-x²) dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Differentiate the function.   y=(6x2-7)/(5x3+1)

A: The given function is; y=(6x2-7)/(5x3+1)

Q: Consider the following function. f(x) = x1/5 + 7 (a) Find the critical numbers of f. (Enter your…

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Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have to find given decomposition and derivative of y.

Q: The temperature of an object is reduced as the following moodle: T(t) = 15+ 76 ekt Find the value of…

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Q: the value of a car was $48000 in 2015. By 2020, the value of the car depreciated to $16226 b)Assume…

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Q: INSTRUCTIONS: State the differential, dy, of... y = f(x) = tan ¹(√√x)

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Q: A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: A street light is at the top of a 11 ft tall pole.  A woman 6 ft tall walks away from the polewith a…

Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: Need to find out the intercepts, critical points and point of inflection, vertical and horizontal…

Q: For the given cost function C'(x) = 44100 + 800x + x², First, find the average cost function. Use it…

A: Given query is to find average cost function and minimize it.

Q: radioactive cesium-137 has a wide variety of uses and is commonly used in hospitals for diagnosis…

A: Given query is to find half life.

Q: A model for the average price of a pound of white sugar in a certain country from August 1993 to…

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Q: A manufacturer has total cost function C(x) = 45000 + 100x + x³ (in dollars) and revenue function…

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Q: Consider the following. x = 5t + 8,      y = 8t + 5 (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . to graph the line, we need only two…

Q: Let f(t) = √t. For a 0, find f'(a). f'(a) =

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Q: 5. Calculate the arc length of the graph of on the interval [1, 2]. |2 x3 f(x) ) = 1/2/2 + 1/2 X

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: Question Find the Maclaurin polynomial på (x) for f(x) = 5ª. Provide your answer below:

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Q: Question content area top Part 1 By determining f′(x)=limh→0 f(x+h)−f(x)/h​, find f′(3) for the…

A: Use the limit definition of derivative for finding the derivative at given point.

Q: f is differentiable and f(−1)=3; f'(−1)=−2, evaluate the following limit lim x→0…

A: We will use L hospital Rule to find the exact value.

Q: The total cost, C, (in thousands of dollars) to make reading glasses is a function of the number of…

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Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 3300 yd of fencing to enclose a…

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Q: dz dx 1-siny 11. for z=10216gx

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: For an interest rate of 10% per year, compounded quarterly, find the semiannual effective interest…

A: Given query is to find semiannual interest rate.

Q: If y=1/3x2​, find dy/dx at x=−1.

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Q: what point on the curve of y=7x2+4x is the slope of a tangent line equal to -38?

A: Given query is to find the point where slope of tangent is -38

Q: Use Laplace transforms to solve the initial value problem: y" - 4y = 2e³t, y(0) = 1, y'(0) = −1

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Q: Given a helix find the normal vector, binormal vector, and the oscillating plane at the point…

A: The given helix is:r(t)=cos t, sin t, t

Q: Evaluate dz using the given information. z = 5x² + 3xy + 4y²; x = 5, y = -1, dx = 0.03, dy = -0.06…

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Q: This question reviews the process for integrating definite integrals using u- substitution and…

A: use the substitution method for finding the integral.

Q: write the exponential funcetion y=50(1.025)^t in the form of y+a(e)^kt, indicate whether the…

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Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the…

A: Let fx,y=x2+y2 And x=5 ,y=12

Q: solve 15=60(e)^-.15t using logarithms

A: Given 15 = 60e-0.15t

Q: At 9:00 AM the thermometer reading -10°C is brought into a room where the temperature is 45°C. At…

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Q: For certain types of crabs, the allometric relationship between the weight C of the claw and the…

A: The given data is: C=0.09W1.59 Find the percent rate of change of the claw weight in terms of the…

Q: Edwin is a lifeguard and spots a drowning child 60 meters along the shore and 40 meters from the…

A: Let Edwin run x meters before jumping in the river. Then the student is at a distance of (60 - x)…

Q: Consider the following function. f(x)=x²-8x (a) Find the critical numbers of f. (Enter your answers…

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Q: x; 3" In5n is CV نعم O لا

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Q: 2x² yy' + 2xy² + 3 = 0 y'ex = y sin(x) + tanh(y) y' + y" = 2x²y et

A: Please see the below answers.

Q: Find the intervals on which f is increasing or decreasing. Find the local maximum and minimum values…

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Q: Write the partial fraction decomposition the ratione expression X x2-x-30

A: We have to write the partial fraction decomposition of the rational expression xx2-x-30.

Q: Question Find the first four non-zero terms of the Maclaurin series for the function below. f(x) =…

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Q: A farmer wants to construct a fence around an area of 150 square feet in a rectangular field and…

A: We need to determine dimensions.

Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is…

A: Given that the concentration of a bloodstream t hours after injection into muscle tissue is given by…

Q: Anika and Barry drive go karts, east and south, respectively. Starting from the same place at the…

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Q: The following table shows the average life expectancies in several countries. Assume that all…

A: The following table shows the average life expectancy in several countries. Assume that all premiums…