25,270 Answered Questions for the topic calculus

Calculus Math

11/09/23

Im very confused with how to find f(x) and g(x) with the values given

suppose the function f and g and their derivitives have the following values at x=1 and x=2 Let h(x)=f(g(x)) Evaluate h'(x)x f(x) g(x) f'(x) g'(x)1 8 2 1/3 -32 3 -4 2pi 5
Calculus

11/09/23

maximum and minimum values

T/F (with justification) If f(x) is a differentiable function on (a, b) and f(x) has a local maximum or minimum value at x=c in (a, b) then f'(c) =0
Calculus

11/09/23

Need help, can't answer the question

A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s210 ft/s2. Its maximum cruising speed is 90 mi/h90 mi/h. (Round your answers to three decimal places.)(a) What is the... more
Calculus

11/09/23

Maximum and minimum values

For the following functions, find all critical points exactly. f(x)= e^-1 - e^-3x for x>0
Calculus

11/09/23

AP Calculus BC - Integral

If ∫06 f(x) dx = 15, ∫04 (f(x)/3) dx = -3, find ∫64 (f(x)+3)dx
Calculus

11/09/23

Let E be the region bounded above by x^(2)+y^(2)+z^(2)=10^(2), within x^(2)+y^(2)=3^(2), below by the xy plane. Find the volume of E.

Let E be the region bounded above by x^(2)+y^(2)+z^(2)=10^(2), within x^(2)+y^(2)=3^(2), below by the xy plane.Find the volume of E.Triple IntegralCylindrical CoordinatesNote: The graph is an... more
Calculus

11/09/23

Find the volume of the solid bounded below by the circular cone z=1.5\sqrt(x^(2)+y^(2)) and above by the sphere x^(2)+y^(2)+z^(2)=9.75z.

Find the volume of the solid bounded below by the circular cone z=1.5\sqrt(x^(2)+y^(2)) and above by thesphere x^(2)+y^(2)+z^(2)=9.75z.
Calculus

11/09/23

Find the center of mass of the solid E bounded by the planes x=0,x=4,y=0,y=3,z=0 and z=3. Assume the density is \rho (x,y,z)=z.

Find the center of mass of the solid E bounded by the planes x=0,x=4,y=0,y=3,z=0 andz=3. Assume the density is \rho (x,y,z)=z.
Calculus

11/08/23

If x and y are both postive

If x and y are both positive , evaulte lim p -> 0 (ln (o.3x^p+0.7y^p)/p = and lim p-> 0 (0.3x^p +0.7y^p)^1/p=
Calculus

11/08/23

Find the distance from P

A small resort is situated on an island that lies exactly 5 miles from P, the nearest point to the island along a perfectly straight shoreline. 10 miles down the shoreline from P is the closest... more
Calculus

11/08/23

how do this problem

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more
Calculus Math

11/08/23

A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22 ft/s.

At what rate is his distance from second base changing when he is halfway to first base?Also, at what rate is his distance from third base changing at the same moment?
Calculus

11/08/23

suppose you have f(x) find these

f(x) = x^1/3 (x+3)^2/3  Find all critical values of f. If there are no critical values, enter None . If there are more than one, enter them separated by commas.b) use interval notation to indicate... more
Calculus

11/08/23

Answer the questions

f(x) =6x^2ln(x) a) List all the critical values of f(x) b ) use the intevral notation to indicate where f(x) is increasing f) use the interval notation to indicate where f(x) is concave up g) use... more
Calculus

11/08/23

Answer using the f(x)

f(x)=7x/(x^2-25)f) use interval notation to indicate where f(x) is concave up g) use the interval notation to indicate where f(x) is concave down
Calculus

11/08/23

Answer the questions

f(x) = e(^-3.5x^2)f) Use the interval notation to indicate where f(x) is concave up Concave up :g) use interval notation to indicate where f(x) is concave down concave down:List the x values of all... more
Calculus

11/08/23

A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $4 per square foot and the metal for the sides costs $7 per square foot

Find the dimensions that minimize cost if the box has a volume of 50 cubic feet.Length of base x=Height of side z=
Calculus

11/08/23

I cant find an example of this series, could I get some help please?

Use an appropriate test to determine if the given series converges. You must give a well written reason for your conclusion.
Calculus

11/08/23

I cant find an example of this series, could I get some help please?

Use an appropriate test to determine if the given series converges. You must give a well written reason for your conclusion.
Calculus

11/08/23

I cant find an example of this series, could I get some help please?

Use an appropriate test to determine if the given series converges. You must give a well written reason for your conclusion.
Calculus

11/08/23

I cant find an example of this series, could I get some help please?

Consider the series Use the integral test to show that this series converges. Use your calculator to approximate S15 for this series. You must show what you enter into the calculator. Use the... more
Calculus

11/08/23

FInd the limit x approaches 0

If x and y are both positive, evaluate lim p appraoches 0 ( (ln(0.3x^p+0.7y^p))/p and lim p appraches 0 (0.3x^p + 0.7y^p)^1/p
Calculus Math Science Biology

11/08/23

Electric Potential and Energy Storage

The plates of a certain parallel-plate capacitor have been set with a separation of d = 4.15 mm, and each has an area of A = 50 cm2. After charging the capacitor, each plate carries a full charge... more
Calculus

11/08/23

What rate is the plate's area increasing?

when a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm / min. At what rateis the plate's area increasing when the radius is 50 cm?

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