Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da = dx

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: It is given that the annual simple interest on the investment is 15%.  also the amount after 3…

Q: Find the indicated partial derivative. V = In(r4 + s5 + tº); Ꭷ3v ərəsət Ꭷ3v ərasət

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Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: for each question. A correct answer without an explanation will not earn any credit. The population…

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Q: Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy =…

A: Given data differential equation  ye-xdydx=x

Q: 3. Determine the absolute extreme values for the function Y=3sinx + 4cosx on the interval [0,27]

A: y = 3sin x + 4cos x ,on the interval [0, 2pi]

Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

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Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: consider the region bounded by the parabolas: y=x² + 4x + 3 and Find y = - x² + 2x + 3 the area of…

A: The region bounded by the parabolasy=x2+4x+3 and y=-x2+2x+3

Q: 1. What number exceeds its square by the maximum amount?

A: As you posted multiple questions  I need to solve only first question.  Both questions are…

Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at X = π

A: The curve is fx=sin2x+sinx at x=π.To find : Determine the slope and the equation of the…

Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: 29 / 36 determine the derivative function (for). 9. Let f be the R²R function defined by f(x, y) =…

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Q: 6 5 4 J 2 *+ -2 3 -4 s -6 V 1 2 3 4 6 The graph above shows the base of an object. Compute the exact…

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Q: A tank, shaped like a cone has height 4 meters and base radius 3 meters long. It is placed so that…

A: This is question of calculus. Here cone is given  And water in cone given  We have to find work for…

Q: Sketch a graph of the function f(x) = 3sin x. Please state the range.

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Q: Calculate the integral approximations Tê and M₁ for ſå xª dx. Your answers must be accurate to 8…

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Q: Assignment: Consider the region bounded by the parabolas: 2 2 y = x² + 4x + 3 and y = x + 2x + 3.…

A: We need to find volume.

Q: 13. For f(x) = -x³ + 3x² + 9x, find the followings. a) Find f'(x) and the critical points. b)…

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Q: A runner is jogging at a constant speed of 3.6 miles per hour. a. Find the distance d that the…

A: The speed of a runner,  v = 3.6 miles per hour To determine:  (a) The distance d travelled by runner…

Q: Find the present value of a continuous income stream F(t) = 20 + 8t, where t is in years and F is in…

A: To find the present value of a continuous income stream Ft=20+8t, where  t is in years and F is in…

Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

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Q: The percent p of prescriptions filled with generic drugs at a large pharmacy chain from 2008 through…

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Q: 14. Differentiate. a) y= 12 10 b) y = (x + 2√√x) ex

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Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: Given the graph of y = f(x) below, answer the following. y -5 -4 -3 -2 4- 3 2 1. -2 -3- -4 -5 23…

A: A graph of the function fx is given. We have to find a solution for fx≥0.

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: e(4²)* + e* (4²*) (4)* + 4° dx

A:

Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for à note…

A: A = P (1 + rt) Where  A -  Accumulated amount              P -  Principal amount              r -…

Q: Please circle the final answer. Specify each answer of each section to which question it is related.

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Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

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Q: Calculate the integral approximations To and Me for (Inx)-¹dx. Your answers must be accurate to 8…

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Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: D is the region enclosed by the parabolas = 2 -2 2 = y² - 1 and 2 = x = y² + 1.

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Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

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Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: X cos(x) dx?

A: ∫xcosxdx

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Present value formula is given as for continuously compounded PV = ∫0tk( t )e-rtdt Where  PV is the…

Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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