A company found that new employees prefer training sessions of moderate length; shorter training sessions provided too little instruction to complete a task, while longer training sessions contain too much instruction to remember. For a training session on a particular task, the company determined that the ratings new employees gave for the training session could be approximated.by The training session length that received the highest rating is minutes. (Simplify your answer.) 18t where t is the length of the training session in minutes. Find the training session length that received the highest 7+81 R(t) = %3D rating. Enter your answer in the answer box. ins prt sc 19 144 t12 delete f8 f6

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Q: 5. The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: topic - quadratic equations

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Q: sove for m in terms of r and T. [(1-m)(1+r)]T=1/2

A: The answer is given as follows.

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Q: Find the speed v, in miles per hour, that will minimize costs on a 95-mile delivery trip. The cost…

A: Solve the above following

Q: Use the formula (t) k(t): ||r' (t) x r"(t)|| = 13 ||r' (t)||³ r(t) = e¹²ti + e-tj = to find k(t).

A:

Q: Find the value of x for AB - 46 and mCD - 25- (The figure is not drawn to scale.) D B

A: x = 12mAB⏜ + mCD⏜

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A: Given Data The formula for the stopping distance is D=0.04v²+0.5v The distance of the car to stop by…

Q: Evaluate the convolution, f(t) * g(t) = 8t*e', then evaluate at t = 2.

A: If f and g be two functions that are piecewise continuous on every finite closed interval 0≤t≤b and…

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Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

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A: Given query is to find the value of x at T(x) = 32°

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A: Given that T is the temperature at h hours after 6 am. So T is a function of h.

Q: For the following table of values, determine if the relationship is: y 1 2 17 55 4 129 251 433…

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Q: In cold weather, we feel colder when the wind blows. This is quantified by the wind chill index W,…

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Q: d) Solve the following 1. If g(x) = Vx – 4 and h(x) x3 + 4, find (hog)(x) %3D

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: H=164 e48++28

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Q: find the value of r and t.

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Q: Find all values of t for which

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Q: Find the value of k so that the value of f, (2y – 1) dy is 10. а. 1 b. 2 с. 3 d. 4

A: Given:      ∫2k 2y-1dy = 10

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Q: 8 Find the value of JK. M K x+4 ANSWER: x+1

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Q: Q.3 A teacher finds that for test grades in Class A, X = 32 and S x 4; for test grades in Class B, X…

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Q: Evaluate F· dī where C F = = , and C is given by - T(t) = , 0 < t < T 0 <t<

A: Given

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Q: Creani Cet G4)= ti t2+34)j +4k HICH) = 2JF L+3tj + find a) H4) XG4) (1+24)k こ b) G4). HGE)

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Q: d) Does the p3(x) you found provide a better approximation of V10 or of 11? Explain your answer.

A: From part b:f(x)≈p3(x)=2+112(x-8)-1288(x-8)2+520736(x-8)3 Using this polynomial we get the…

Q: Let C(x) be the cost (in dollars) of manufacturing x bicycles per day in a certain factory. If C(50)…

A: Ans(1) we have givenC(50) = 3000C'(50) = 15⇒dC(x)dx = 15    at x= 50⇒dC(x) = 15 dxIntegrating both…

Q: The value of (7.9) can be approximated using an appropriate local linear approximation of f(x) = VI…

A: To determine the value.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.