2 y² 1 %3D 2.

Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate sh...

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Q: Find the interval

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Q: 1. Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c)...

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Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

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Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: 9. A lot has the form of a right triangle, with perpendicular sides, 90m and 120 m long. Find the le...

A: Given:       

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A: This question is related to statistics.

Q: Let f(r) Find the values of x where f'(x) = 7. I + 8 Give exact answers (not decimal approximations)...

A: We will find the solution of given function as shown below

Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: dx Evaluate the integral: a4/49x2-25 (A) Which trig substitution is correct for this integral? 25 se...

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Q: Calculate the volume of the solid obtained by revolving the region under the graph of f(x) = x + 4 a...

A: NOTE: Refresh your page if you can't see any equations. . the given function is and the given inter...

Q: Which Riemann sum represents the illustration shown? AY 4 3.

A: The given figure is:

Q: A multiunit mixing process consists of two tanks T1 and T2. Ten (10) gal/min of pure water is pumped...

A: The system can be shown as the following compartment model: The result to be used is  Rate of chang...

Q: 13) y = 4c°(sin 0 – cos ) A) 8e® sin e B) 0 ) 4e0(sin e – cos e) + 4e® D) 8e®(sin 0 – cos 0) 14) y =...

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Q: 18. It states that for each value between the least upper bound and greatest lower bound of the imag...

A: Sine we are given with multiple number of question answered according to the guideline.

Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x - ...

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Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h'(0) = 4 find F'(0). F'(0) = ... ...

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Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x2+8f(x)=x2...

A: Given problem:- Find the volume of the solid obtained by rotating the region enclosed by the curves ...

Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

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Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at w...

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Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: 5. Where is the absolute value function f(x) = |x| differentiable?

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Q: variance of the data 2,4,5,6,8,17 is 23.33 ,(2 :then variance of 4,8,10,12,16,34 will be

A: Result: If the variance of a data set a1,a2,...,an is σ12 then the variance of data set ka1,ka2,...,...

Q: eliminate the arbitrary constants x2/a2 - y2/b2 - 1

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Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: The demand function p = D(.) = -0.3x + 33 and the total cost function C6) = 1.277 + 9.2x + 65 for a ...

A: We need to find all x where production is profitable.

Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

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Q: For mumbers 9- 10. Consider the probability distribution of the number of mangoes given below. R PIR...

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³ ...

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Q: Question 17 Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2)...

A: To find out the value of b. 

Q: Use integration by parts to evaluate the integral: sin(In(9x))dx 1 x(sin (In)(9æ))– cos(In (9x)) + C...

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Q: Find all the values of x such that the given series would converge. (-1)"2" 11" (n2 + 6) 7=D1 The se...

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Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

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Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: Question 5 1 pts – 2x+5 To find 4 (In(-2a+5 we should use the logarithmic property. That is to rewri...

A: We use the logarithmic property log(m/n)=logm-logn

Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: Let f(z) = { - 4 + 9 if z 2 Find lim f(x), if it exists. 01 O DNE 00 02

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Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: Find the average value of f(x) = x² /57 + x³ 3 on the interval [0,4]. favg %3D Report answers accura...

A: Follow the procedure given below. 

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: COs n Find the limit lim n 00 2" If it diverges, enter DNE.

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Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: S sin³xdx =

A: Here we have to solve the given Integral.

Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

A: