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Q: Can you help with this problem step by step?

A: Given: -

Q: I need help with g. and h. NOT THE REST OF THEM.

A: Given functions are

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: Solve the following equation log(x)−log(2)=log(x)+8−log(x+2) (The answer I was given is X=4)

A: We need to solve the given equation for the value of x.

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

A: To determine the length of piece bent into the shape of an equilateral and a circle.

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

A: Click to see the answer

Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: Find the equation of the tangent line to the curve y=5sec(x)−10cos(x)y=5sec(x)−10cos(x) at the point...

A: To determine the equation of the tangent to the given curve in the specified form

Q: 10 5 0 -1 -10 Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and it...

A: A(blue) is the graph of the functionB(red) is the graph of the function's first derivativeC(green) i...

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: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

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: If f(x)=4x2 - 5x + C and f(1)=13, find the value of constant C

A: Given:

Q: Differentiate. y = (4-sec x)/tan x

A: Distribute tan x.1/tanx= cot x and secx/tanx= cscx

Q: Evaluate the radical expression and express the result in the form a + bi. (Simplify your answer com...

A: Given,

Q: 3. For each of the functions below, find a formula for the inverse of f. ea (a) f(x) 1 2e* (b) f(x)I...

A: Part (a)y = ex/ (1 + 2ex)Hence, y(1 + 2ex) = exHence, y + 2y ex = exHence, ex = y / (1 – 2y)Hence, x...

Q: As viewed from above, a swimming pool has the shape of the ellipse x^2/4900+y^2/2500=1 where x and y...

A: To determine the volume of the three dimensional region R , defined by the pool

Q: Solve for x and check your answer: ln(-x)=ln(x2-6)

A: Given:

Q: Consider the following. g(x) = 8x2 3; h(x) = 1.1 Find the derivative of f(x) g(x) h(x) f'(x)=

A: Given,

Q: Find the arclength of the curve r(t)=⟨7sint,9t,7cost⟩ −2≤t≤2

A: According to the given information the given curve is:

Q: dy Given the equation below, find 36542yys = 41 dy da

A: We are given,

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: The pair of equations has a common parameter t in them. Use the second expression to express t in te...

Q: How are the directional derivative and partial derivative related (more information in the image)

A: The correct answer is the first option i.e. option A.

Q: Find the volume of the solid created by rotating the region bounded by y = sinh x, y = cosh x, x = 0...

A: Sketch of the region:

Q: Sketuh fCx)= x-DA2x1) ( 12X21 7xt1 X-intercept Doman: 10 Y-inteicept 10 Slant Asymptote: Vemcal Asym...

A: The given function is:

Q: Find the partial derivatives, fx and fy, for f(x, y) = (5x + 4y)^10

A: f_x is partial derivative w.r.t. x. Used exponent rule and chain ruleAnswer: f_x= 50(5x+4y)^9

Q: I need help with question 21 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Given,

Q: There were 27 deer in a park on January 1, 2000. Six months later there were 38 deer in the same pa...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given function

Q: Find the derivative of the function. f(x) = x6 ln(x)

A: Click to see the answer

Q: Sketch and find additional polar three points for (2,4pi/3). When r>0 and r<0. And theta is be...

A: Given polar coordinate:

Q: Did I solve the question correctly? (my work is the second picture.)

A: To write down the first few terms of the sequence defined by the given conditions

Q: If f(x) = exg(x), where g(0) = 5 and g'(0) = 2, find f '(0).

A: Consider the function f(x) = ex·g(x).we have g(0) = 5, g’(0) = 2To find the first derivative of f(x)...

Q: Solve using trig substitution.

A: To evaluate the algeberaic integral using trigonometric substitution

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4 feet...

A: Click to see the answer

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: The world's output of primary energy (petroleum, natural gas, coal, hydroelectricity, and nuclear el...

A: It is increasing at the rate of 2.4% annually. So 0.024 every year.growth rate= (1+0.024)=1.024 per ...

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: Evaluate the integral dx/2sqr(x+3)+x

A: Given that

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

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: 0 and f" (x) < 0 for all x 50. Suppose f(3) = 2, f'(3) and f'(x) 2 a. Sketch a possible graph for f ...

A: We can conclude from f(3) = 2 that the value of f(x) at x = 3 is 2.So we got one point on the curve ...

Q: A theorem states that one local extremum implies absolute extremum. Find the location and value of t...

A: Given function is

Q: Which of the following functions are solutions of the differential equation y′′−9y′+18y=0?A. y(x)=e3...

A: The given differential equation is,

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: Find all critical values for the function f(t)=(t^4)-(12t^3)+(16t^2)

A: Click to see the answer

Q: F(x)=4+54x-2x^3 , [0,4] what are the absolute minimum value and absolute maximum values?

A: Given function

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

Q: Find the area of the region enclosed by one loop of the curve. r=sin(8theta)

A: Draw the given curve as shown below.