Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the Integrals Value theorem for

Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper. 1.…

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Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. lim F(x) lim…

A: We have to find the limit

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: f2₁ (4x + 5) dx

A: ∫-12 4x+5dx

Q: 7. (22²)⁰+ (2⁰). (2²)⁰= 2 True O false 8. sin ²e + cos²e=(1)". if n>1 True false 9.Sin(x) is an odd…

A: We have to find the true or false of the statements

Q: THE AREA BETWEEN THE CURVES 2 4y = x² AND Y²³ = 4X 15 REVOLED ABOUT THE LINE X= -1. SOLVE FOR THE…

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Q: Find the area under the graph of the function over the interval given. y=x*; [2,3] The area under…

A: Given query is to find the area under the curve.

Q: 8) (x − 8)² (y+6)² + 81 144 -=1

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Q: y = 25

A: differentiation of constant term is 0.

Q: evaluate using method of interse trig function 1 17-257² dt

A: Explained below

Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper.…

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Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: Problem. Given the evenly spaced data points, compute f'(0.4) as accurately as you can by applying…

A: answer is in next step

Q: QUESTION 1 Find (1+2x) In5x² 2x) In 5x² dx by using integration by parts.

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Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…

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Q: B-Soive the Differential equation : Y 1 x√√x+x = 0, y(9)=1.

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Q: A function is given. f(t) = 5t²; t = 4, t = 4 + h (a) Determine the net change between the given…

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Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: Solve the following boundary value problem using finite difference method given that…

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Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: (a) f dx 2 √3x-x²

A: Solution of the problem as follows

Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help of…

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Q: y=x²

A: I have stated the used formula in the solution

Q: 6. A curve which intersects some straight line in an infinity of points (but for which not every…

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Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: (0.01)365 O True O false > (1.00) 365

A: Check the statement

Q: Wheat is poured on the ground at the rate of 12 cu. ft/sec. The pile forms a cone whose altitude is…

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Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

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Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 22dx S 2 x²-1

A: This question is based on indefinite integral using partial fraction.

Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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Q: ISR interval. interval. I is negligible set ? 7 = [-1,1] HW-1

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Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: The graph of a function f is given below. According to the graph, the derivative of the function f…

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Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: 3. F(x)= 4x4- 6x²+1 is not even function. O True O false

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Q: 4) x² (1-8)² + 100 25 =1

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Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: Find the volume of the solid generated when the region bounded by the curve (x - 5)² = 4 - y and the…

A: Given:-the region bounded byx-52=4-y  and the x-axisrevolving about the line x=2using cylindrical…

Q: If f(w) = e f'(w) = sin w+ 4 cos w find f'(w). Use exact values. J

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Q: Determine the support reactions at the fixed support. Neglect the size and weight of the beam.

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Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 e…

A: Find out the population models.

Q: i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit…

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Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: (x − 6)²(y+3)² + 36 25 = 1

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

Q: 1 5 X If y = - find dy dx at x = 2.

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Q: - f (x)) then, the Fourier transform of fex- called Fourier sine transform and denoted Fs { fcx)},…

A: answer is in next step