Find an antiderivative of q(t) = (t +9)³

Q: 85. Suppose that F'(x) = f(x). Ka) Show that y = F(2x) is an antiderivative of y = f(2x). (b) Find…

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Q: •L. VAL 5. If F(x) = a. F'(1) b. F(2), by interpreting F(2) as an area √4t t² dt, evaluate the…

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Q: of unit circle , when F(r)

A: The function given is Fr=-x,-xy here r is the radius of circle ,r=x,y→dr=dx, dy. Apply Green's…

Q: Evaluate e |/| 2xz dV where E = {(x, y, z) | 0 < z < 1, ¤ < y < 2x, 0 < z < z + 3y} E Round your…

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Q: 6. Let a be a positive constant. Determine the general antiderivative of a using the fact 1 a² + x2…

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Q: Given that f(x) = x³h(x) h(-1) = 2 h'(-1) = 5 Calculate f'(-1). Hint: Use the product rule and the…

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Q: Example 8.10. Evaluate Sº (ii) Simpson's 1/3 rule, (iii) Simpson's 3/8 rule, dx Jo. 1 + x² by using…

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Q: Let F(x) be an antiderivative of f(x), with F(0) = 50 and J f(x) dx 12. what is F(5) = Blank 1? %3D…

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Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: Given f(x,y) = -5xy2 where x = 4t and y = 8t2. Find f' (t) at t = 1.

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Q: -ALef xe Rbe Such thad Xn→x, show that Yn = xi %3D 4 X.

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Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: 4 Evaluate [4y -7y-12 у' - у - бу 4 5 Find the area between the curve x? = 4ay, the x-axis, and the…

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Q: Calculate the area, in square units, of the region bounded by the line x = 2 on the left, the curve…

A: Given that  The region bounded by the curve  fx=lnx-6+1 and the lines are x = 2, y = 3 and x-axis.…

Q: Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2)…

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Q: 3. By changing the order of integration, evaluate •ffer² dydx

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Q: f(x, y) dz dy. y2 Change the order of integration for

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Q: Evaluate J₂(x + y −22) dV where E E {(x, y, z) | − 7 ≤ y ≤ 0, 0 ≤ x ≤ y, 0 < z < x + y²} . - Round…

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Q: Q3 The vertical distance travelled by a rocket from x = 8 to x = 30 seconds is given by: s = ° (2000…

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Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D.…

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Q: I need help with this problem and an explanation for the solution described below.

A: If you have any questions related to this problem please feel free to ask me.Thank you.

Q: Evalaate SS Viteyt lA wheve D is the domain F: x+y=64 the figure below, if , G:(x-4)*+y²=16 in Rp=8…

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Q: 00 for For two independent lives age 40, you are given that H40(t) t< 60. Calculate Var(T40:40). %3D

A: It is given that two independent lives age =40. Also given, μ40(t)=80-t for t&lt;60. μ40(t)=80-tt…

Q: 10. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find…

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Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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Q: A firm produces two products. Consider the function ƒ : Rf × Rf → R : (x1, x2) ↔ ƒ (x1, x2) = α₁…

A: As per the question a firm produces two products with production levels x1 , x2 and the production…