f(x) = √√x and g(x) = x² − 4x, find the following and their domains:

Q: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $20 per acre.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of acres of crop A y=number of…

Q: Find the total area of the shaded region boundeed by the following curves: x = 12y^2 - 12y^3 x =…

A: The given curves are: x=4y2-4y           and            x=12y2-12y3

Q: Prove that the answer for (y + 2x) dy + dx = 0 is: x=-y-+²e-²y

A: I am attaching image so that you understand each and every step.

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Topic = Functions

Q: Suppose that the percent p (as a decimal) of people who could correctly identify two of eight…

A: We need to find out the number of days that will madimize the percent.

Q: 2x^2(y)+3xy^2−2x=−6  at the point (3,0)

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Q: Consider the demand equation for University of Alberta hoodies p = -0.01x + 10.0 for 0 ≤ x ≤ 1000.…

A: Let's find elasticity of demand.

Q: The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4…

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Q: Find the total area of the shaded regions. x²-x²-8x 6 -2 4 -8 -10 (-3,-12) -12 -14- (3,-6) -x

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Q: -1 1,0 a) f²3f(x) dx = b) f 4f(x) dx = c) f₁5 f(x) dx = ►

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Q: Solve sin (3x) cos(5x) - cos(3x) sin(5x) = for the smallest positive solution. X = = - 0.7 Give your…

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Q: Suppose a is a positive integer. Simplify the expression a Σ((n + 2)³ + n³ − 2(n+1)³). n=1

A: We need to evaluate∑n=1a((n+2)3+n3-2(n+1)3)

Q: 28. Find the volume of the solid generated by revolving the region bounded by the graphs of he…

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Q: If-xy - 3+x=0 then find dy at the dx² point (-1, 4) in simplest form.

A: See the details solution in below

Q: Given the equation below, find dy dx Y dy dx = 5x5 + 2x¹0y + y³ 5x4 (5+4x5y) 2x10 + 3y² Now, find…

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Q: Find the derivative of y with respect to t: y = sec¯¹ (9t5 + 8). dy dt

A: Given; y=sec-1(9t5+8).

Q: Question 1 Part A Complete the square for the quadratic f(x) = x² - 5x. ]× ›)²-([ f(x) = (x + ( […

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Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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Q: simplify using exponent rules  a. (2x/5)-3 b. square root of x X4 over x to the power of 2

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Q: If −x = 1 — y³ – xy² and it is known that dy = 3y² + 2xy' find all coordinate dx points on the curve…

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Q: Alex is analyzing a population of zigga-zoos that follows the following gompertz different equation:…

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Q: f(x)=6x²-4x5+3x³+x+1. Which of the following statements is true for the polynomial function f? O a.…

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Q: Find dy by implicit differentiation. 4x³y²2 - 10x²y = 8

A: We can find the derivative by using the implicit differentiation.

Q: Solve 2 sin² (x) + 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x = Give your answers as a list…

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Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

A: Topic =  Derivative

Q: Solve each of the following by forming exact differential (2y + 2xy2-xªy)dx +(x³ + 2x2y-x)dy-0

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Q: evious Problem Math134 03 BasicDerivatives: Problem 11 (1 point) Find an equation for the line…

A: I am attaching image so that you understand each and every step.

Q: For what sort of problems are the integration techniques of substitution and integration by parts…

A: Integration by substitution mathod is used when two functions are given in the integrand and one is…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Distance (d)=213 unit

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: 2.1 Lab - Quadratic Functions 1. Fill in the missing information in the table below. Check answers…

A: Since multiple questions are asked with Multiple subparts.I am answering first question with all…

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

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Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

A: Given query is to graph the function with indicated characteristics.

Q: 4. 5. dy y = + tan dx X y X xy' = y + xey/x

A: Detailes solution is given below

Q: 5. y = cosh[tanh(sinh(x))] :

A: since you have posted multiple question i can do first question as per our company guidelines.…

Q: Rewrite sin (x + 117) in terms of sin æ and cos æ. Simplify your answer. 6 Enclose arguments of…

A: Given query is to find rewrite the expression.

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: Given,

Q: Find the rate at which the volume of the pumpkin increases when the radius is 4.3 cm.

A: Explanation of the answer is as follows

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: (x+y-1)dx + (2x + 2y + 1)dy = 0

A: To solve the given differential equation.

Q: 1. g(x)= 3tan 3x

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Q: 8x² + 3 x² - 49 Enter the number of critical points/numbers of f(x). Consider the function f(x) =…

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Q: lim x →0 64-1 X

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Q: Use linear approximation to approximate √49.4 as follows: Find the equation of the tangent line to…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min.…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Consider the surface defined by z = f(x, y), where: x²y 2(x² + y²) f(x, y) = Write down the equation…

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: Differentiate the function. f(x) = 7x ln(5x) − 7x

A: