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)

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...

A school is raising money for new desks. They have collected $400 in donations, and are hosting a dinner, which will costs $10 per person to attend. Every person at the dinner buys a $2 raffle ticket...

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...

If a stock price goes from $10 to $12 from January 1st to January 31, and from $12 to $9 from February 1st to February 28th, is the price change from $10 to $9 a straight line? How can I...

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...

A movie theater is reordering popcorn buckets for the concession stand. The cost for buckets (b) decreases if they are purchased in bulk. Additionally, the movie theater gets a $2.00 discount on shipping...

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