find the equation for f(x) if f'(x) = 5cos(x) and f(π/2) = 10

find the equation for f(x) if f'(x) = 5cos(x) and f(π/2) = 10

F(x)=-2x^3+5x^2-7x+19 and g(x)=5x-13 find the rule for f•g(x) find the rule for g•f(x)

Finding input and outputs of a two step function. Salma wants to save $600 to buy a TV. She saves $19 each week. The amount, A (in dollars), that she still needs after w weeks is given by...

Finding inverse function of f(x)=(x-1)/(x+1)

1. Write a function f(x) that represent a gym membership cost of $20 per month for x months. 2. Explain how a fee increase of 25% can be represented for the gym membership. Use g(x)...

Now's the time for snow to fall. On December 27th (during winter break), it snows for eight hours. The first half hour, it snows at a rate of 1 inch per hour. The next 2 and a half hours, it snows...

A birthday party is being held for 20 people at an arcade. It costs $5 a person to provide food for everyone, and each game costs $1 to play. Assume that each person at the party plays the same number...

Determine all the real zeros of f(x)= x4-x3-5x2+3x+6 I'm not sure how this would be factored out, thank you in advance

hi can somebody help me with these simple true or false questions I need to learn them for my final exam a. |𝑥| = −𝑥 if 𝑥 is a negative number. b. A function has exactly one...

Please help, show work, and explain in detail h(x)=-3

f(x) = -(x - 1) g(x) = 2x2 h(x) = 3x + 1 a. What is (f ο g)(-2)? b. What is (g ο f)(-2)? c. What is (f ο h)-1(3)? d. What is (f ο g ο h)(1)? e. What is (h ο h-1)(π)...

create a rational function with a slant asymptote of y=x+8 And vertical asymptotes x=2 and x=-1

At 3pm on a particular day, 20kg of sugar is placed in a container of water and begins to dissolve. After t hours, the amount,x, of undissolved sugar is given by the formula x=20rt. After...

A function g satisfies g(5)=3 and g(3)=0, and a function h satisfies h(3)=-2 and h(0)=5. What's the value of h(g(3))?

If g(x)=-2(x2-6x-12)+3(k-x) and g(x) is evenly divisible by x, then what's the value of k?

f(x)= 7-x^4/6

given f(x)= t3-2t2-8t/t2-4 find the domain, asymptotes, holes and intercepts. I know that to find the x intercept you set y=0 and solve for x but I am unsure how to isolate x...

(a) Show that a cubic function can have two, one, or no critical number(s). Give examples and sketches to illustrate the three possibilities. (b) How many local extreme values can a cubic function...

The speed (in feet per second) of a ball tossed up in the air can be represented by the function v(t)=32|t|+5 where t is time in seconds. Based on this function, at what time would the speed of...

For f(x) = {-3x2+2, x<-1} {x+7, x≥-1} and x = -2, find y.

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