54 Answered Questions for the topic cal

02/25/21

Find the unit vector in the direction of steepest ascent and descent at P? What is the vector that points in a direction of no change?

Consider the function f(x,y)=5x2-5y2-7 and the point (-2, -1).a) Find the unit vectors that give the direction of the steepest ascent at P?b) Find the unit vectors that give the direction of the... more

02/02/21

Find the area of the triangle with vector?

Find the given points A, B, and C find the area of the triangle with vertices A, B, and C.A(2, 8, 3), B(9, 16, 4), C(4, 9, 4).The area is ____.
Cal Calculus

06/15/20

Find the absolute maximum value and the absolute minimum value

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)g(x) = x2 + 5x^2/3 on [0,1]Max=Min=

07/11/19

Math word problem

A motorboat takes 5 hours to travel 200 km going upstream. The return trip takes 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

07/10/19

Math Word problem

Debra, Kareem, and Ahmad sent a total of 133 text messages over their cell phones during the weekend. Debra sent 5 more messages than Kareem. Ahmad sent 4 times as many messages as Debra. How many... more
Cal Calculus

03/20/19

Calculus question

Suppose the integral from 1 to 6 g(x)dx=10 and the integral from 4 to 6 g(x)dx=-2 , find the value of the integral from 1 to 4 2g(x)dx. I have tried solving this problem but cannot and everyone... more
Cal

12/06/18

If Dy/dx=cos(x/2) and y(0)=3 find y(x)

I really confuse with problem, can you help me to find the answer please
Cal Calculus

02/10/17

Evaluate the integral by interpreting it in terms of area

0 ∫1  x+sqrt(1-x^2) dx
Cal

02/09/17

Find area under y= sinx between [ 0,pi]?(rieman sum)

Find area under y= sinx between [ 0,pi]? . How would I do this using a Rieman sum
Cal Calculus

02/09/17

Calculating the derivative of an integral

d/dx 1 ∫(1/x)  cos^3 (t) dt = (-1/x^2) cos^3(1/x)    What I dont understand is where the -1/x^2 came from . I thought that the upper bound was just the derivative but isnt the derivative of 1/x... more
Cal

02/06/17

Converting a rieman sum to definite integral

∑ (1)/(sqrt(4n2-i2)) 
Cal Calculus

12/16/16

Abs. Max/min on a guven interval

f(x)= (x^2)/(x^2+1) [ 1,2]    Its saying that the abs min is (2,4/5) and max is (1,1/2) . I dont understand isnt it supposed to be the opposite. Shouldnt the max be (2, 4/5) ? Isnt 0.8 bigger... more
Cal

12/13/16

How to integrate this ?

∫ (2)/(1+x^2) dx
Cal Calculus

12/13/16

Calculus optimization problem (minimizing material)

A box with a square base and an open top must have a volume of 256m^3. Find the dimensions of the box that minimize the amount of material used. 
Cal

12/12/16

Show that sinx is a solution of y"+y=0

 How do I do that ^
Cal

12/11/16

Show that cx^3 is a family of solutions ( differential equations)

Consider the differential equation xy'-3y=0    1) Show that cx^3 is a family of solutions.  2) Find the particular solution that satisfies y(-3)=2 
Cal

12/11/16

Verifying solutions to differential equations

y"-2y'+5y=0 , y=exsin2x

12/11/16

Differential equations

Find y=f(x) that satisfies y-y'=0
Cal

12/03/16

Limit using hopital

lim x tends to 0+ (sinx)(lnt)
Cal

12/02/16

Absolute min and max

f(x)= 2sqrt(3+x^2) -x [ 0,2]
Cal

11/29/16

Absolute min and max

f(x)= 2(3+x^2)^(1/2) -x on the interval [0,2]
Cal

11/27/16

Cant solve this derivative

Hi, I need help finding this derivative :    y=-(x^2+9) / (x^2-9)^2
Cal

11/27/16

Finding second derivative

y= (x)/(x^2-9)    I have tried doing it and keep getting the wrong answer. Please show me steps

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