Evaluate the integral 100 S 10 dx x(In x)4 11 100 S 10 dx x( In x)4

Q: < Suppose that c(x)=2x³-8x² +24,000x is the cost of manufacturing x items. Find a production level…

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

A: we need to find out the exponential growth function and also the cost of the groceries in 2013.

Q: se trigonometric substitution to solve. 4x S dx √√x²-1

A: Please see the below picture for detailed solution.

Q: 3) (i) The velocity and acceleration of a particle is given as v=-4i -9j + 5k and a= 6i- j + 3k Find…

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Q: on (a,b) 6) If the second derivative of f exists on (a,b) and the graph of f has an inflection point…

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Q: Inverse Laplace transform, x-1| (8²+1) 1 (s²+1)(s-3) Select one: O True O False cos(t) 10 3sin(t) 10…

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Q: i) y" + 4y' +2y=sin(2x)sec(x)

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

Q: Abdul would like to receive OMR 2000 after 12 years. How much does he need to deposit now if he…

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Q: A A A -C B в М

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Q: A sleeping bag is on sale for $22.81 and has been discounted 30%. What was the original price of the…

A: NOTE: Refresh your page if you can't see any equations. . the price of the sleeping bag after a 30%…

Q: 8²ƒ f(x, y) = x¯¹ sin(x² * y), prove that equal: — x³ sin(x²y) дуг

A: We are prove the given

Q: If f(z) = 4, then f'(4) = ?. (Answer accurate to 2 decimal places.)

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Q: Find the partial derivatives 1) z(x, y) = cos(x³ - 4y) (or) of the following functions z (or) and 2…

A: according to bartleby guide line we do only first part of multiple 1)   given…

Q: y"-2y'+5y=10x²-3x-3

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Q: * 5. Evaluate x = t² [(z)dx (z)dx + (x)dy + (y)dz C given by y = t³ for 0≤t≤1 z = t²

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Q: What is the horizontal asymptote of the graph of f(x) Give your answer in the form y = a. Provide…

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Q: Find the derivative. ya 7 lnx Ox7-1 O 7ex7 x 07x Ox7 et dt

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Q: For f(x) = {2-cosxx find /(-2) + f(0).

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Q: Find all solutions of the equation 2 cos 3x = 1 in the interval [0, π). The answer is 1 = , I₂ with…

A: Given query is to find the solution of the expression.

Q: NOTE:S-4r and Va +6) 13. A rancher wants to construct two identical rectangular corrals using 200…

A: Dimensions

Q: Find the Taylor polynomial of order 3 centered at 0. f(x) = ex 12 2 1 3 OA. P3(x)=1-x+ O B. P3(x) =…

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Q: urve C consisting of the parabolic arc y = x², x €

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Q: If we would like to solve the following differential equation by variation of parameters then…

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Q: Find the partial sum, S7, for the geometric sequence with a = 5, r = 2. S7 =

A: Given query is to find indicated partial sum

Q: Find the inverse of f(x) f ¹(x) = = 52+4 3x − 4

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Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y'(0) = 2. Consider the initial- (a) Use the…

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Q: h (t) = 9t³ - 7t +5 t³et 8 5t5

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Q: Evaluate the integral: V4-2² 14x² (A) Which trig substitution is correct for this integral? 0x = = 4…

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Q: A manufacturer believes the function C(x) = 0.25x² - 19x + 930 where 0 ≤ x ≤ 100 approximates the…

A: Given query is to find marginal cost and level which minimize the production cost.

Q: Let f(x) = x (6-x)* . (a) Determine the interval(s) on which the graph of ƒ is increasing or…

A: Given function:- fx=x6-x23

Q: Given that 12 f(x) = x¹²h(x) h(-1) = 4 h'(-1) = 7 Calculate f'( − 1). product rule and the power…

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Q: Give a word problem regarding maxima and minima: algebraic functions

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Q: (6x² - 7xy + y²)dx + xydy = 0

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Q: Find the derivative of y with respect to z. y=6(28) dy dz ||

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Q: Find the derivative of y with respect to x if y = In (5x) S 0 sin (3e¹) dt.

A: To find the derivativeof y with respect to x if y=∫0ln5x sin3et dt.

Q: Let f(x) = 5x³ (ƒ−¹)´(²)= 2x 1. Find ga (ƒ¨¯¹) ´(²).

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Q: Compute dy/dx for the function. 2. y= sinh 7x

A: y=sinh27xdsinh(x)dx=coshx

Q: You would like to have $800,000 when you retire in 25 years. How much should you invest each quarter…

A: Given query is find quarterly payment, total amount deposited,and interest earned.

Q: Find the derivative of y with respect to x if y = dy dx || In (4x) ! sin (6e¹) dt.

A: To find the derivative of given function

Q: 2.2 Find the integral (and leave answer in simplified form) a) √x(x ² + 1)² dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1 Find the slope of the crowe at given point P and an equation of the tangent line at P. y = 4-x²³,…

A: standard form of equation is y=mx+c,  where m is slope given point is  (-1,5)given  y=4-x3we know…

Q: 5) 14. If an object is moving in space with a velocity function of v(t)= t²-2t -8 where t is in…

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Q: On graph (A) draw a function that is continuous on [-2, 2]. On graph (B) draw a function that has an…

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Q: Determine the radius of convergence of the following power series. Use the Ratio Test or the Root…

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Q: If a = i - 5k and b = j + k, find a x b.

A: given  a=i-5kb=j+k

Q: The equation of the tangent line to the graph of f(x) = x³ + 2x at the point x = 1 is O y = 5x + 3…

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Q: Find a function of the form y= A sin(kx) + Cor y = A cos(kx) + C whose graph matches this one: -20…

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Q: A pair of shoes is on sale for $31. If the sales tax rate is 6.6%, what is the amount of sales tax?…

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Q: Find the exact length of the polar curve described by r = 6e-0 7 on the interval ≤ ≤ 8π. π

A: formula for are length is  L=∫abr2+(drdθ)2dθdeθdθ=eθ

Q: Give a word problem regarding time rates: trigonometric functions Show FBD

A: We need to solve time rates using trigonomteric functions.