g(x)=∫ (x on top, 0 on bottom) √(1+6t) dt, use fundamental theorem of calculus find g1(x) (derivative of g(x). )

g(x)=∫ (x on top, 0 on bottom) √(1+6t) dt, use fundamental theorem of calculus find g1(x) (derivative of g(x). )

If ∫ (7 on top, 1 on bottom) f(z)dx= 16 and ∫ (7 on top, 6 on bottom) f(x) dx= 3.3, find ∫ (6 on top, 1 on bottom) f (x) dx

Let \displaystyle g(x)=\int_0^x {\sqrt{1+6 t}}\,dt. Use the Fundamental Theorem of Calculus to find g'(x).

The tangent line to y=f(x) at (−8,−9) passes through the point (7,7). Compute the following. a) f(-8) b) f'(-8)

Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+8t at time t. (Here s is in meters and t is in seconds. a) Find the average velocity of the object in...

The limit lim x→1 x^7−1/x−1 represents the derivative of some function f(x) at some number a. Find f and a. f(x)=_____ a=______

Let f(x)=−5x+(−5). Find the largest δ so that |f(x)−f(a)|<ϵ when |x−a|<δ. δ=________

Let f(x)=x^2−8x. To prove that limx→4f(x)=−16, we proceed as follows. Given any ϵ>0, we need to find a number δ>0 such that if 0<|x−4|<δ, then |(x2−8x)−(−16)|<ϵ. What is the (largest)...

For the function f(x)= {x^2−4, 0≤x<3 f(x)= {−1, x=3 f(x)= {3x-4, 3 less than x use algebra to find each of the following limits: lim f(x)= x→3^+ lim...

The point P(0.2,15) lies on the curve y=3/x. Let Q be the point (x,3/x) a.) Find the slope of the secant line PQ for the following values of x. If x=0.3, the slope of PQ is: If...

2. One of the simplest models says that the rate at which the number of individuals without access is decreasing (i.e. the rate at which individuals acquire internet access) is proportional to the...

One side of the fencing is adjacent to a river. River | | Y | ...

How fast is the ladder moving toward the wall when the top of the ladder is 6 feet off ghe ground?

Word problem

Diameter is three times the altitude.

Determine the linear Lagrange interpolating polynomial that passes through the points (2,4) and (5,1). Please explain all steps so I can understand how you got your answer.

Word problem

I need to know the function's equation

Find a linear function whose graph is the plane that intersects the xy-plane along the line y= x+7 and contains the point (-4,-4,-21).

When your first child is born, you begin to save for college by depositing $475 per month in an account paying 12% interest per year. You increase the amount you save by 2% per year. With continuous...

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