Use the following information for Questions 4 and 5. f is a continuous function with a domain [-3, 9] such that 3, -3≤x<0 f(x)=-x+3, 0≤x≤6 -3, 6

Q: -4 -3 -2 -1 -5-4 5 4 3- 2+ 1 -Y -2+ -3+ -4+ -5+ 2 3 4 5 X

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Q: . Find the equation of the parabola with x-intercepts -7 and 3, and that 2, -11). Express your…

A: Given parabola has two x-intercepts, (-7, 0) and (3, 0). Clearly its either upward or downward…

Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

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Q: Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit…

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Q: A stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 16…

A: solution of part A So the stone is 829 feet high 3 second later.

Q: Question 13 (1 point) ✓ Saved Which of the following CANNOT be an acceptable direction vector for…

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Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

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Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closest to…

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 8 Σ k=1 3k² 7k…

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Q: functions f (x) = 2 and g(x) = 1 (i) Consider the (a) Write down the domains of the functions f (x)…

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Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: Solve the differential equation v(x) = dy dx 3y x > 0.

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Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Differentiate the fol y = (sin x)(lnx) a)

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Q: Find the X-intercepts (x,y) and y-intercept (x,y) and the vertical and horizontal asymptotes.…

A: To use the given graph to find the answer of the given question.

Q: QUESTION 7 Evaluate the double integral. FS= 3xy 2 RX²+1 OA. 8 3 OB. 16ln (2) OC. 8ln (2) OD. 16 3…

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Q: Solve the differential equation dy da - y²+7xy+16x² x² a. x + y = O b. x Y = ; when x = 1, y = 1 5…

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Q: Use cylindrical coordinates to evaluate the integral below. F √x² + y²dv, where E is the region that…

A: We can solve this as follows:

Q: Consider the following functions. f(x) = X Find (fog)(x). g(x) Find (gof)(x). = X X + 9 Find the…

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Q: 3.4k Σ Evaluate 7k

A: Given ∑k=3∞3.4k7k

Q: 6) Evaluate dx (x+1)(x² + 4)

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Q: dv/du = (u - v)² -2(u - v) - 2.

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

Q: Find all local extrema for f(x) = x²e²x Files Maximum file size: 20MB, maxin

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Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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Q: Consider the region R bounded by the functions f(x) 3x and g(x) = x² + 2. The ar a. 2 sq. units b. 3…

A: Topic:- application of integration

Q: 1. The position of a particle moving in the ry plane at time t units is given by the vector equation…

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

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Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 -4…

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Q: 12. y= tanh(t2 +1)

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Q: I. Find dy/dx of the following: 4. y=√1+In²x 7. y In- COS X √4-3x² 5. y = sin²(In x) 8. y In, x- 6.…

A: Topic - Derivative of a function Power rule: ddxxn=nxn-1ddxln(x)=1x

Q: di. Use v = L to find the voltage across a 30mH inductor at t = 5ms if dt (round final answer to 2…

A: By using v=Ldidt to find the voltage across a 30 mH inductor at t=5 ms if i=40 sin20πt-π6.

Q: ess the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity…

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Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: -10 -5 у 10- 5 -5 -10- 5 E . 10 X

A: We need to write down the type of the function, x and y intercepts and also the vertical and…

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Determine the coordinates of the focus and the equation of the directrix then choose the graph of…

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Q: Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly…

A: Average value of a function y=f(x)  from x=a to x=b is given by Aavg=1b-a∫x=ax=bf(x)dxsee below the…

Q: If z = tan d. 6 b ¹ (²) 2 c. d 2 1+z² 1-z² 1+z² then sin x = 22 1+z² None of the choices

A: To find the value of sin(x) in terms of z.

Q: Find the solution to satisfying _y(t) = dy dt = 2y y(6) = 9

A: The given differential equation is; dydt=2y As we know from the integral rule,  ∫1ax+bdx=1alnax+b+C

Q: Evaluate functio J dx x² - 6x + 13

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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Q: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos t)

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