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Q: lo eTTIoprvars ruc, -too 42 3r (c) Use the substitution rule to show that lim0 f(x) = lim^0+ f() and...

A: Given

Q: Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0. (a) Why doesn’t the idea ...

A: given

Q: number 5 please

A: Consider the given function,

Q: The radioactive isotope potassium-40 is used to date very old remains. The proportion of potassium-4...

A: Consider the proportion of potassium –40 which is remains after t million years as,

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: Click to see the answer

Q: Find the parametric equations for the tangent line to the curve x=t^4−1, y=t^3+1, z=t^2 at the point...

A: Consider the given curves and points.

Q: (a)Find the inflection point(s) and (b) local minimum and maximun f(x)=x4-50x2+6

A: forcriticalpoints.

Q: number 3 please

A: To analyze the graph of the given function for inflexion point and change of concavity and convexity

Q: I am studying for a precalculus exam and I am stuck on this problem and would like help. Question...

A: Given equation is

Q: Assume that it costs a company approximately. C(x) = 400,000 + 160x + 0.003x2 dollars to manufac...

A: C'(x)= 160+.006xC'(10000)=160+.006(10000)=220Answer: The cost is increasing by $220 per smart phone ...

Q: f(a+h)-f(a) lim a. Use the definition mian to find the slope of the line tangent to the graph of f a...

A: The given function is,

Q: The sales of Sherwin-Williams paint in different regional markets depends on several input variables...

A: Click to see the answer

Q: Eavluate the gradient vector at the given point. a) f(x,y) = cos2(πxy) at (1,-1) b) f(x,y,z) = xeyz ...

A: a) Given function is

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Find the gradient vector and level curve of the following functions at the given point and show that...

A: Given,

Q: Please justify stuff that is asked. thank you have a wonderful day :)

A: Given function and point is

Q: Find the linearization L(z, y) of f at the given point. Surface: f(a, y) In(x +9y) Point: (11e5,e) F...

A: Given :

Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every poi...

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: Consider the parametric equations below.x = 4t - 3y = 3t + 1(b) Eliminate the parameter to find a Ca...

A: From the equation for x, write t in terms of x.

Q: sin(0) for the angle e shown. Find tan(e) 2 3

A: Given figure is

Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9] Find the average slope of the function on this inter...

A: We know that,

Q: A wheat farmer is converting to corn because he believes that corn a more lucrative crop. It is not ...

A: Let f(n) denote the number of acres devoted to corn in year n. We have f(n)=500+20n.Let g(n) denote ...

Q: Consider the parametric equations below.x = 5 + 2ty = 1 - t2 (b) Eliminate the parameter to find a C...

A: From the equation for x, write t in terms of x.

Q: For f(x) = −x2 − x, evaluate and simplify f(x + h) − f(x) h

A: To compute the difference quotient ( the given ratio) for the function f(x)

Q: 4. Use the properties of logarith ms to rewrite each expression as the logarithm of a single express...

A: We know that,

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞? (b) Expla...

A: Refer to the questions , we need to give explanation to the provided questions of (a), (b) and (c).

Q: dz Find given: dt ce dz dt Your answer should only involve the variable t

A: To find the derivative of z with respect to the parameter t

Q: Find the function L that linearly approximates f at the given point. a. f(x,y) = X2+y2; (0,0) b. f(x...

A: Refer to the question, we have to find the function L that linearly approximates f at the given poin...

Q: at the point (r, y)(-4,3) Find the gradient of f(x, y) Find exact values. No decimal entries. Vf-4, ...

A: The given function and coordinate point is

Q: Why is 00 an indeterminate form while 10 is not? Explain this in a few steps.(a) Recall that a 0 0 i...

A: To discuss which ratios are indeterminates (and which are not).

Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No dec...

A: The given function whose gradient is to be calculated at a given point is:

Q: Can you please do problem 3.

A: Let the number of Euros be represented by e and pounds by p.Given each euro is $1.20 and pound is $1...

Q: Differentiate y = V910x У 3

A: Write expression of y using exponent.

Q: What are the reference angles for the following

A: Reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis.

Q: Lea invests $8,333 in a savings account with a fixed annual interest rate of 8%. What will the accou...

A: According to questionInitial balance (p) = $8,333Interest rate (r) = 8%Time (t) = 12 yearIt is given...

Q: 5. In this problem, we will use linearization to approximate the solution of e +1 20 which occurs ne...

A: Consider the given equation

Q: Identify the curve by finding a Cartesian equation for the curve. 18. θ = π/3

A: Given that

Q: Consider the function f(x)=2x^3+6x^2-90x+8, [-5,4] find the absolute minimum value of this function....

A: The function is given by,

Q: Can I get help with this problem step by step?

A: The gives figure is shown below:

Q: Solve. (4^x)^2-2(4^x)-1=0

A: Click to see the answer

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x < ...

A: It can go 600/x miles in 1 gallon. And cost of 1 gallon is 2.80.So cost for (600/x) miles = 2.80Cos...

Q: (a) Find a power series representation for the function.f(x)=2/(19+x) (b) Determine the interval of ...

A: (a) The given function is

Q: Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration

A: Given:

Q: HELP ME BEFORE 11:59pm

A: Given, function is

Q: Find the derivative of the function. f(x) = ex x4

A: given:

Q: Exercise 1: For the following properties, give an example of a functionf that is continuous everywhe...

A: given condition:

Q: number 4 please

A: Given: -

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% pe...

A: Initial population in year 2000

Q: Find the partial derivatives, fx and fy, for f(x, y) = 2x + 3y/x^2y + 1

A: The given function in terms of x and y is