25,270 Answered Questions for the topic calculus

Calculus

07/20/23

Can't figure out how to solve this please help! Thank you!

Zoey is a lifeguard and spots a drowning child 60 meters along the shore and 50 meters from the shore to the child. Zoey runs along the shore for a while and then jumps into the water and swims... more

07/19/23

please help! functions

Graph the transformations that are applied to 𝑦 = sin 𝑥 to obtain the sinusoidal function: 𝑓(𝑥) = 2 sin(𝑥 + 30°) + 2 Be sure to use the “key points” to graph your base function. GRAPH TWO FULL... more
Calculus

07/19/23

Find the volume of the solid whose base is the region between the functions given using cross-sections of rectangles perpendicular to the x axis with a height of x

Find the volume of the solid whose base is the region between the functions given using cross sections of rectangles perpendicular to the x-axis with a height of x.y=3(x-3)²-4y=6-x
Calculus

07/18/23

Let f(x )= ax^3 + bx^2 + cx + d. Determine the values of a, b, c and d if f(x) has critical points at x = -1 and x = 2, f(0) = 1 and f ′(0) = 6.

Hello, please provide a detailed explanation per step to study. Thank-you!
Calculus

07/18/23

Reimann Sum Integral Estimation

Use the table to estimate ∫ 0 to 40 f(x)dx. Assume that f(x) is an increasing function.x | 0 | 10 | 20 | 30 | 40 |f(x) | 370 | 400 | 430 | 470 | 490 |Estimate the integral using... more
Calculus

07/18/23

How would you integrate ye^(6y-y^2) wrt y?

Calculus Math Precalculus

07/17/23

Confused on where to start with finding the slope if you are given the secant line slope

The table gives the slope of the secant line through the points P(1,-3) and Q(x,y) on the graph of f(x)=x2-4. Q(x,y) slope (1.01,-2.98) 2.0 (1.1,-2.79) 2.1 (1.5,-1.75) 2.5 (2,0) 3.0 Which... more
Calculus

07/16/23

Find the particular solution of the differential equation that satisfies the initial condition(s).

f ′(s) = 14s − 12s^3, f(3) = 7
Calculus

07/16/23

(a)∬R f(x,y)dA=∫BA∫DC f(x,y)dydx A=-1 B=1 C=? D=3

Suppose R is the shaded region in the figure, and f(x,y) is a continuous function on R. Find the limits of integration for the following iterated integral
Calculus Math

07/16/23

Integral Problem

LetF(x) = integral [From exp x^3 to 1] f(t) dtWheref(t) = sqrt(t^2 +5) if t<=2 t + 1 if t>2a. Evaluate F(ln(cuberoot(3)) - F(ln(cuberoot(2))b. Is F(x) differentiable?... more
Calculus

07/15/23

A spherical snowball, related rates

A spherical snowball is melting. Its radius is decreasing at 0.8 cm per hour when the radius is 20 cm. How fast is its volume decreasing at that time?NOTE: Enter the exact value or round to three... more
Calculus

07/15/23

A spherical snowball, related rates

A spherical snowball is melting. Its radius is decreasing at 0.8 cm per hour when the radius is 20 cm. How fast is its volume decreasing at that time?NOTE: Enter the exact value or round to three... more
Calculus

07/14/23

Find the average value of the function over the given interval. (Round your answer to four decimal places.) f(x) = 4 − x2, [−2, 2]

Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)(the title is part a... more

07/14/23

plz help!! functions graphing

Graph the transformations that are applied to 𝑦 = 𝑥2 to obtain the quadratic: 𝑓(𝑥) = 2(𝑥 + 1)2 + 5 Include a table of values for your base graph (𝑦 = 𝑥2) Be sure to label each graph List the... more
Calculus

07/14/23

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.

(Round your answer to four decimal places. Enter your answers as a comma-separated list.) f(x) = x2 9 , [0, 3] (its supposed to be a fraction)
Calculus Math

07/13/23

what is the limit x-> -infinity x+ln(x^6+2)/ln(x^4+1)

Calculus Math Algebra 2

07/13/23

what is the limit x->1+ (x^3-1)ln(x-1)^5

Calculus Math

07/13/23

can you please help me solve this?

f(x,y)=2−ln[1+(x−2)^2 +(y−2)^2]find and classify its stationary points. Then, find the gradient at (1;1). Finally, find the equation of the tangent plane to the graph of the function at the point... more
Calculus Math

07/12/23

please tell me how do I find global /local max min using only the first derivative?

how do I know whether it's a global or a local point? I'm so confused
Calculus Math

07/12/23

Find the volume of the solid obtained by rotating the region

Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis.y=4-(x-9)^2

07/11/23

For the three-part question that follows identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Use the following expression to answer the following questions. log 2 3Part A: What is the change-of-base formula?Part B: Name some common base choices used in the change-of-base calculation.... more

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