Newest Calculus 1 Questions | Wyzant Ask An Expert

10/06/17

Find the derivative of the function and evaluate the derivative at the given value of a.

h(x)=xsquare root of x;a=16 d/dx=xsquare root of x=xsquare root of x(2+lnx/2square root of x) Evaluate the derivative at the given value of a. h'(a)=?

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Calculus 1

10/06/17

Find the equation of the line.

Let f(x)=x^2 and g(x)=(x-74)^2+27. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously.

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Calculus 1

10/06/17

find the equation of a line

Let f(x)=x^2 and g(x)=(x-1)^2+7. There is one line with positive slope that is tangent to both of the parabolas y=f(x) and y=g(x) simultaneously. y=?

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Calculus 1

10/05/17

Height equation

A clown is standing on a cliff that is 528 ft tall. The clown hurls a tomato into the air with a velocity of 128ft/sec. How fast is the tomato traveling when it hits the ground below? I know... more

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Calculus 1

10/03/17

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2 Note: Both the denominator and numerator are under radical Differentiate y=x^lnx Thanks! :))

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Calculus 1 Calculus Calculus, Derivatives

10/03/17

Calculus: x^3+y^3=8xy. What is the equation of the tangent line at (4,4)

I'm confused on the steps of solving this problem. Any help would be greatly appreciated!

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Calculus 1

10/02/17

Find the parabola with equation y = ax2 + bx whose tangent line at (2, 0) has equation y = 4x − 8.

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Calculus 1 Calculus

10/01/17

Consider the function and the value of a.

f(x) = squareroot(x + 8) , a = 1 Use mtan = lim h→0 (f(a + h) − f(a))/hto find the slope of the tangent line mtan = f '(a). Then, find the equation of the tangent line to f at x = a.(Let x be the... more

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Calculus 1 Calculus

10/01/17

For the function y = f(x), find f '(a) using mtan = lim x→a f(x) − f(a)/ x − a .

f(x) = 1/squarerootx, a = 4

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Calculus 1 Calculus

10/01/17

For the function y = f(x), find f '(a) using mtan= lim x→a f(x) − f(a)/ x − a .

f(x) = x^2 + 6x, a = 3

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Calculus 1 Math Calculus

09/30/17

A spherical balloon has a leak and its radius is decreasing by 2 centimeters per minute.

What is the rate of change of the volume of the balloon when the radius is 40 centimeters? (V= 4/3(pi)(r)^3 I know how to find the Volume of the balloon at specific radii but I don't know how... more

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Calculus 1

09/30/17

Cos(t)= -5/6 where pi less than t less than 3pi/2 find sin(2t)

Just needing how to find sin(2t)

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Calculus 1

09/29/17

if cos(x)= -5/6 where pi less than t less than 3pi/2 what is cos(2t)

looking how to solve cos(2t) sin(2t) cos(t/2) sin(t/2)

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Calculus 1 Calculus

09/27/17

find the area under the curve y=1/(6x^3)

Find the area under the curve y=1/(6x^3) from x=1 to x=t and evaluate it for t=10, t=100. Then find the total area under this curve for x≥1. (a) t=10 =____________ (b)... more

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Calculus 1

09/27/17

calculate limit

A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that the following functions has a horizontal asymptote by... more

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Calculus 1

09/27/17

Calculate the following limits. Enter DNE for a limit which does not exist.

let f(x)= sqrt(-2-x)+4 if x<-3 4 if x=-3 3x+14 if x> -3 Calculate the following limits. Enter DNE for a limit which does not exist. lim(x->-3^-)... more

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Calculus 1

09/26/17

For the function h(x)= x^3-27/x^2-9 complete the following:

a. Make a table of values of h(x) for x values close to 3 and on both sides of zero. b. Make a conjecture about lim x arrow 3 h(x). Round conjecture to 2 decimal places. ... more

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Calculus 1

09/26/17

Use the limit process to find the slope of the line tangent to the graph

let f(x)= (5x^4)-6 Use the limit process to find the slope of the line tangent to the graph of f at x=3. slope at x=3: ??? Find an equation of the line tangent to the graph of f at... more

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Calculus 1 Limits

09/21/17

I need help finding the limit/showing that it doesn't exist (Calc 1)

limx-->infinity (square root(9x2+x) - 3x)

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Calculus 1

09/20/17

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → ∞ x + 2 36x2 + 1

Find the limit, if it exists. (If an answer does not exist, enter DNE.)lim x → ∞ x + 236x2 +1

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Calculus 1

09/20/17

solve for (f o g o h)(x)

find (f o g o h)(x) f(x)= sqrt(7x) g(x)= (x/(x-3)) and h(x)= 3sqrt(12x)

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Calculus 1

09/20/17

For the function h given below, find a formula for h(x) and the domain of h. Enter the domain using interval notation.

For the function h given below, find a formula for h(x) and the domain of h. Enter the domain using interval notation. f(x)= sqrt((8x-4) g(x)=(2x^2)-6 find h(x)= (g o f)(x) my answer... more

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Calculus 1 Limits Of A Function

09/17/17

limit of (root(x^2-7) - 4) / x^2 - 3x as x approaches 3

need to manipulate this so the denominator isn't 0

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Calculus 1

09/16/17

lim (lnx^2-x^-2) as x approaches 0

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Calculus 1

09/16/17

Lim (1/x-lnx) as x approaches 0 from left hand side

Determine the infinite limit lim (1/x-lnx) as x approaches 0 from left

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Find the derivative of the function and evaluate the derivative at the given value of a.

Find the equation of the line.

find the equation of a line

Height equation

Differentiate H(z)=ln radical a^2-z^2/radical a^2+z^2

Calculus: x^3+y^3=8xy. What is the equation of the tangent line at (4,4)

Find the parabola with equation y = ax2 + bx whose tangent line at (2, 0) has equation y = 4x − 8.

Consider the function and the value of a.

For the function y = f(x), find f '(a) using mtan = lim x→a f(x) − f(a)/ x − a .

For the function y = f(x), find f '(a) using mtan= lim x→a f(x) − f(a)/ x − a .

A spherical balloon has a leak and its radius is decreasing by 2 centimeters per minute.

Cos(t)= -5/6 where pi less than t less than 3pi/2 find sin(2t)

if cos(x)= -5/6 where pi less than t less than 3pi/2 what is cos(2t)

find the area under the curve y=1/(6x^3)

calculate limit

Calculate the following limits. Enter DNE for a limit which does not exist.

For the function h(x)= x^3-27/x^2-9 complete the following:

Use the limit process to find the slope of the line tangent to the graph

I need help finding the limit/showing that it doesn't exist (Calc 1)

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → ∞ x + 2 36x2 + 1

solve for (f o g o h)(x)

For the function h given below, find a formula for h(x) and the domain of h. Enter the domain using interval notation.

limit of (root(x^2-7) - 4) / x^2 - 3x as x approaches 3

lim (lnx^2-x^-2) as x approaches 0

Lim (1/x-lnx) as x approaches 0 from left hand side

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