08/01/23

Find all relative extrema of the function f(x)= x^4 - 4x^2 + 2 by using the Second Derivative Test where applicable.
Find all relative extrema of the function f(x) = x4 - 4x2+ 2 by using the Second Derivative Test where applicable.
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08/01/23

Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values c in the open interval (a, b) such that
f(b)-f(a)f'(c)= ‾‾‾‾‾‾‾‾‾‾‾ b-aIf the Mean Value Theorem cannot be applied, explain why not. x f(x) =‾‾‾‾‾‾ , [1, 4] x-5
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07/31/23

Use the alternate form of the derivative to find the derivative at x=c, if it exists.
F(x)=x3+2x2+1, c=-2
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07/29/23

explicit derivative

2/x - 1/y = 4How can I solve the equation explicitly for y and differentiate to get y' in terms of x?
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07/29/23

intersection vectors problem
Find the intersection of xyz=[1,4,−2]+t[1,−1,3] and 2x−5y+8z−28=0.
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07/29/23

Please help me to solve related rate problem
Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 5 mi/h. How fast (in mi/h) is the distance between the people changing after 15 minutes? (Round the... more
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07/28/23

Determine the amplitude
Determine the amplitude of the following function:y=3/5cos⁡(−7x)
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07/24/23

Second Fundamental Theorem of Calculus
Find the maximum value of F(x) = ∫ 0 to x (sin(t2)) dt on the interval 0 ≤ x ≤ 2.5. Maximum point = ( _, _ )
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07/22/23

find the derivatives in two ways : 1. by evaluating the integral and differentiating the result, 2. by differentiating the integral directly
d/dx [definite integral b=sinx a=0 3t^2dt]
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07/22/23

The doubling period of a bacterial population is 20 minutes.
At time t=120 minutes, the bacterial population was 60000. What was the initial population at time t=0 ? Find the size of the bacterial population after 4 hours
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07/19/23

Can anyone help explain/show how to solve this? Half angle trig identity
Solve the following equation using half angle identities, given that x is in the interval [0, 360]. Choose all values that apply. Your answers should be expressed in degrees, to the nearest... more
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07/09/23

Find an equation for the line with the given properties.

Find an equation for the line with the given properties. Express your answer using either the general form or the​ slope-intercept form of the equation of a line. Perpendicular to the line... more
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07/09/23

suppose you wanted to use linearization to estimate cuberoot 31, and then determine the error in that approximaition
we need an equation with x and y, what is the equation pick a point on the graph of the equation in part 1 that is close to the point that you are trying to estimate, what is that point write the... more
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07/08/23

Riemann Sum value

Find the value V of the Riemann sum V=n∑k=1 f(C_k)Δx_k for the function f(x)=x2+2 using the partition P = { 1, 3, 5, 8 }, where ck is the left endpoints of the partition.
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07/08/23

the radius of a circle is increasing at a constant rate of 0.4 meters per second. what is the rate of increase in the area of the circle at the instant when the circumference is 60pi?
I got to the point of :dA/dt=(2pi r) dr/dtI am confused whether I can replace the 2pir with 60 pi since 2pir represents the circumference and if I can put 0.4 as dr/dt?
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07/08/23

College Algebra
The​ half-life of radium is 1690 years. If 30 grams are present​ now, how much will be present in 450 ​years?
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07/04/23

Mixture problems- Pure Solutions

You need a 25% alcohol solution. On hand, you have a 300 mL of a 40% alcohol mixture. How much pure water will you need to add to obtain the desired solution?Ive tried several times and can't seem... more
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06/30/23

Need explanation on one part
Use the following expression to answer the questions below:(1/x+3 + 6/x^2+4x+3)*x+3/x+1a. Simplify the expression down to one rational expression.b. Explain the steps you used to do the... more
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06/30/23

What is a algebraic proof that the period for sine function is 2π/b?
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06/28/23

Need the answer
Evaluate. 5/6+1/2.7/9 Write your answer in simplest form.
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06/28/23

Find the area of the region bounded by the graph of F on the X axis on the given interval f(x)=9/x on [-3,-1]
The area of the region is ?
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06/23/23

Find the area bounded by the curve
Find the area bounded by the curve x = t − (1/t)y = t + (1/t)and the line y = (17/4).Area = ? .
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06/23/23

Use the Parametric Equations of an Ellipse
Use the parametric equations of an ellipsex = 12cos⁡(theta)y = 18sin⁡(theta)0 ≤ (theta) ≤ 2pito find the area that it encloses.
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06/23/23

Find the amplitude of 𝑦=3⋅sin(4⋅𝑥+𝜋). Select one: a.) 4 b.) 12 c.) 3 d.) none
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06/19/23

Calculus eigenvalues

The matrix A = [−3, k] has two distinct real eigenvalues if and only if k <  [−2−7]
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