807 Answered Questions for the topic Calculus 1

Calculus 1

01/16/18

simplify the logarithmic function

Simplify 10Log10 (I/10^-12)         
Calculus 1

01/12/18

find sin[tan^-1{csc(cot^-1 x)}] in terms of x

How do I find this trigonometric function. I have to find the find sin[tan^-1{csc(cot^-1 x)}] in terms of x
Calculus 1 Calculus

01/10/18

Evaluate the function at the given value of the independent variable. Simplify the results.

f(x)=x^3   (f(x+Δx)+f(x))/Δx  (Δx≠0)
Calculus 1

12/27/17

use the intermediate value theorem to identify an interval

use the intermediate value theorem to identify an interval where the equation sinx- x^2= 0 has a non-zero solution
Calculus 1

12/18/17

Find the instantanueous rate of change of f(x)=e^x-1/x at x=3

a. 2e3+1/9 b. e3+1/9 c. e3-9 d. 2e3-9
Calculus 1

12/18/17

evaluate the limit, given that f(x)=x^3 -2 square root of x

lim h→0 f(x+h)- f(x)/h   a. 3x2-1/2√x b. 3x2-1/√x c. 3x2+1/2√x d. 3x2+1/√x
Calculus 1

12/18/17

What value of k ensures that the equation f(x)=6 has two solutions?

x 0, 1, 2 f(x) 1, k, 2
Calculus 1

12/18/17

What vaue of k makes f(x) continous at x=0?

f(x)={k(x2+7) for x>0 5+x for x<0   a. 7/5 b. 7 c. 5/7 d. 5
Calculus 1

12/17/17

The volume, V, of a cone with height, h, and radius, r, of its base can be found by: V=1/3(pi)*r^2*h.

Find the maximum possible volume if h+r=3. (Leave your answer in terms of pi)I'm really stuck on this question. Any help would be appreciated! Thanks.
Calculus 1

12/14/17

Calculus help

Provide the critical numbers and describe the open intervals for which the following function is increasing and decreasing:   f(x)=2x3+3x2-12  
Calculus 1

12/14/17

Calculus problem help

Determine the absolute maximum and minimum y value for the following function on the closed interval [0, 64]:   f(x)=3√x^2  -(x/3)  
Calculus 1

12/14/17

Calculus problem

The radius of a circular oil spill on the surface of the ocean is growing a rate of 2 cm / s. Determine the rate at which area is being consumed by the oil spill when a) r = 10 cm, and later when... more
Calculus 1

12/13/17

Calc problem

Determine the derivative of the following function:   f(x)=[ln abs sin(x^2) ]^3
Calculus 1

12/13/17

Calculus problem help

Determine the equation of the line in slope-intercept form which is both tangent to the curve f(x) and parallel to the line provided:   f(x)=2x2+3x+1                  Line:4x+4y=12  
Calculus 1

12/13/17

Calculus help

Find the derivative of the following function using the limit method.   f(x)=2x2+x
Calculus 1

12/13/17

Calculus help

For the following piecewise defined function, evaluate the specified one-sided limts:     f(x)=x2+2x, x≤1                x+3, x>1 Find lim       x→1-          lim       x→1+        ... more
Calculus 1

12/13/17

Calculus help

For the following function, identify the discontinuities and indicate whether they are removable or non-removable:   f(x)=(2x-8)/(x2-7x+12)  
Calculus 1

12/13/17

Calculus help

Determine the following limit by either removing the “offending” factor or usingL’Hopital’s Rule:     lim x2+3x-28 x→4 x2-x-12
Calculus 1

12/13/17

Calculus help

Rewrite the equation of the circle given in general form into standard form and provide the coordinates for the center and the measurement of the radius:2x2+2y2-12x+8y+20=0
Calculus 1

12/13/17

A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means of a rope of negligible weight. As the bucket rises, water leaks out at a

A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means ofa rope of negligible weight. As the bucket rises, water leaks out at a rate of 0.2 lb/sec. If thebucket... more
Calculus 1

12/13/17

Find the average value of f(x)=(x-3)^2 on [2,5]

A) Find the average value of f(x)=(x-3)^2 on [2,5]   B) Find c such f average=f(c)   C) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f 
Calculus 1

12/13/17

Air is being released from a spherical balloon at a rate of 100cm^3/sec.

Air is being released from a spherical balloon at a rate of 100cm^3/sec. Which of the following is the instantaneous rate at which the radius of the balloon is changing when the radius is 5 cm (The... more
Calculus 1

12/10/17

find the limit as n approaches infinity of ∑n j=1 (7j+2)/ n^2

Solution pleae
Calculus 1 Math Calculus Math Help

12/08/17

Calculus Question

Consider the definite integral ∫13  (-4x-5)dx  Find a closed form expression for the nth right Riemann sum of this integral.                                                        4               ... more
Calculus 1

12/05/17

G (X) = x + 32/ x^2. what is relative minimum of G. what concavity is all values of x except zero

Calculas HELP

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