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...
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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...
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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...
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Calculus
07/18/23
How would you integrate ye^(6y-y^2) wrt y?
Calculus
07/17/23
Find the area of the region bounded by the graph of 𝑓(𝑥) = 𝑥2 , the x-axis, and the vertical lines x = 0 and x = 2, by using the limit definition
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...
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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?...
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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...
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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...
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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...
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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...
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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
07/14/23
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.)
f(x) = x3, [0, 3]
Calculus Math
07/13/23
what is the limit x-> -infinity x+ln(x^6+2)/ln(x^4+1)
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...
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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
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....
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