Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

Q: P 3. Evaluate the integral fx cos(3x²) dx as an infinite series. (You do not need to find the radius…

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Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

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Q: a Use possible symmetry of the graph to determine whether it is the graph of an even function, an…

A: Note : As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: x+2 3.) (x²-1)(x²+1)² of factor. dx; Solve by using partial fraction. Indicate the type

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Q: The line graph shows the average number of awakenings during the night for men and women of…

A: To find the difference between the average of awakening during the night.

Q: 1. Solve the following a) 430.00(1+0.05) b) 1.2:4.2:60= 5 45 4 64 c) y: 9 8 (1+0.05)³3 -1 0.05

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Q: [xvx² xvx² - 1dx Select the correct response: (x² − 1) 8 3 (x² − 1) 4 3(x² − 1) // 4 + C 3(x² - 1) 8…

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Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

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Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

A: To setup and evaluate the triple integral for mass of the box.

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A: We have to find out find slope form

Q: 6 ∞ 9 cos (7) x² dx I

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Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: 11. According to the College Board, the average in-state tuition and fees for public 4-year colleges…

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Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

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Q: Test the series for convergence or using 2 2 2 2 3 - 33 + ²/ 3/ + 371 - 5 divergenc

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Q: QUESTION 1 Let I = fxe³x. To solve I, we need to apply O Integration by substitution O Integration…

A: The answer is given below.

Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 5, y'(-1) = 3. y(t) =

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Q: Use the formula for the binomial series: (1 + x) = to obtain the Maclaurin series for 1 (1 + x)5° 1…

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Q: Calculate (9x10^7) divided by (45x10^3) show your work and answer in scientific notation

A: Given :   9×10745×103

Q: 2π π +][im [[(sinx + cosy)dxdy πο 5.

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Q: 2 The function f(x) ==, x0, is one-to-one. X Find an equation for f(x), the inverse function. ...…

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: 8. Solve the differential equation: d'y 3: dx² -4+y=0 dx

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Q: The region bounded by x = 1 - y¹, x = 0 is rotate about the line y = -5. The volume of the resulting…

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Q: Given the following vector field and oriented curve C, evaluate F = (x,y) on the parabola r(t) =…

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Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

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Q: Use Theorem on the derivative of the inverse function to find g'(a), where g= f-1. Calculate g(x)…

A: Here we have to find the inverse function and then its domain and range.

Q: The direction field of the DE y' + ye³x+7= -2y² will have a line segment with positive slope at the…

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Q: Ỉ Ỉ y=0 x=0 (r’–6xy® +5y*) dxdy =

A: Given, ∫02∫03x2-6xy3+5y4dxdy

Q: Use the given acceleration function to find the velocity vector v(t), and position vector r(t). Then…

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Q: The amount of a radioactive substance, y, decays exponentially such that its half-life is 8 days. In…

A: topic- differential equations

Q: Find all the zeros. Write the answer in exact form. 4 q (x) = 2x² +9x³-5x²-57x-45 If there is more…

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Q: Skill Building In Problems 13-24, use the graph on the right of the function f. 13. Is fincreasing…

A: Please see the answers below.

Q: where a = 7 and b = 17 [²* f(x) dx - [1² (2) |ƒ(x) dx = [* ƒ(a) da 9

A: ∫924f(x)dx - ∫917f(x)dx = ∫abf(x)dx find a and b = ? here we use integration by limit part rule here…

Q: Question 3 Given the U= {1,2,3,4,5,6,7,8,9,10) and A = {3,4,5,6,7} B = {1,5,7,9} C = {3,6,9} D =…

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Q: H.W: Evaluate the integral 1. 30 [ (x²y - 2xy)dydx 0-2

A: Given: ∫03∫-20x2y-2xydydx

Q: 4. A one-way road has an overpass in the form of a semi-ellipse, 15 feet high at the center, 40 feet…

A: Overpass is in the shape of a semi ellipse. 15 feet height at the center that means distance between…

Q: 28. For each of the following equations, find the most general function N(x, y) so that the equation…

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Solve using variation of parameters: y" - 2y + y = e/(1+1²) + 3et Type the letter of your answer. Yc…

A: Follow the procedure given below.

Q: FIND: hf(x)dx 2 g(x) dx = = f₁₁ f(x) dx = = if g(x) is an odd function. if f(x) is an odd function.

A: We need to find integral.

Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞ x / √x^2+x+1

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Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2​, for 0≤t≤13​, where t…

A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…