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Q: Fill in the blank/s: If x2 = 7, then x =______________ ?

A: The given quadratic equation is,  

Q: Make a rough sketch in a rectangular coordinate system of the graphs representing the equations in t...

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Q: The volume of a cone, V, varies jointly as its height, h, and the square of its radius, r. A cone wi...

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Q: Express the function ℎ(?)=1?+1h(x)=1x+1 in the form ?∘?f∘g. If ?(?)=?+1g(x)=x+1, find the function ?...

A: Consider the given functions h(?) and h(x)

Q: The selling price of a scientific calculator is $15. If the markup is 25% of the dealer’s cost, what...

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Q: find the domain and range of each compositefunction. Then graph the composition of the two functions...

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Q: Write the expression cos(arcsin 2x) in algebraic form.

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Q: Air is being pumped into a spherical balloon so that its volumeincreases at a rate of 100 cu. cm /s ...

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Q: A diving pool that is 4 m deep and full of water has a viewing window on one of its vertical walls. ...

A: Taking a as height of the waterline, b to t heights over which area of window extends and w(y) lengt...

Q: Fill in the blank/s: When solving x2 + y2 = 13, x2 - y = 7 by the addition method, we can eliminate ...

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Q: sketch the region bounded by the follownghe cuoves and find the Volome geneoated by Bevolning the ar...

A: Step 1: The given area is bounded by the lines, The area bounded by the lines y = x, x + y = 4 and ...

Q: Find the minimum value of f(x, y, z) = 2x2 + y2 + 3z2 subject to the constraint 2x − 3y − 4z = 49.

A: Given: Function=f(x,y,z)= 2x2+y2+3z2 Constraint: 2x-3y-4z=49

Q: Find a counterexample to show that the statement is false. (Select all that apply.) x3 > x a. 1 &...

A: We have given a statement;

Q: Decide whether the following problems can be solved using pre-calculus or whether calculus is requir...

A: Given Data: O(x1,y­1) = O(3, 4) A(x0,y­0) = A(0, 0) C(x2,y­2) = C(7, 0)   This problem can be solved...

Q: Write the equation of the line tangent to f(x) = (2x – 1)(x – 1) if the slope of the tangent is – 11...

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Q: Determine which functions are polynomial functions. For those that are, identify the degree. f(x) =(...

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a...

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Q: Determine the intervals along the x-axis on which the derivative in Figure 16 is positive. y 4.0 3.5...

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Q: Solve the system 2x + 5y = -4, 3x - y = 11 by the substitution method.

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Q: Use the limit definition of a derivative to find f'(x). Show all steps. f(x)=1/(x+3)

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Q: Explain and problematize what the limit of a function is. Illustrate it with:

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Q: Evaluate the following integrals.

A: Consider the given integral as Apply substitution method, let Also, limits get changed.    

Q: "Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real n...

A: To simplify the given expression by using product rule.  

Q: Factor completely, or state that the polynomial is prime: 12x2 y - 27y - 4x2 + 9

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Q: A projectile is fried straight up in the air and is traveling at the same speed for the first 10 sec...

A: Given that the projectile is traveling at the same speed for the first 10 seconds.  Let then its spe...

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite, ...

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Q: Fill in the blank/s: Consider the following system: Equation 1 is x + y - z = -1Equation 2 is 2x - 2...

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Q: solve the following integral

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Q: Evaluate the integral

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Q: graph the function and find its average value overthe given interval. ƒ(x) = 3x2 - 3 on [0, 1]

A: The graph f(x) = 3x2 – 3 on [0, 1]. We have to graph the function and also find the average value ov...

Q: Evaluate the given limit. If needed, enter oo for o0 and -0o for-00. 57-2 lim 32-3

A: Evaluate the limit of the given function as follows.

Q: Rewrite the expression, 1/(csc x - sin x); sec x and tan x in terms of the given function or functio...

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Q: Volumes of solids Find the volume of the following solids.

A: The region is bounded by the curves, The region is shown in the graph given below,

Q: Determine whether the statement, "The resultant force of two forces that each have a magnitude of on...

A: Given Statement: The resultant force of two forces that each have a magnitude of one pound is a vect...

Q: 1. If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dolla...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: If f(x) = (x+2)4+1 and g(x) = (1-x)1/3, find f of g (f(g(x)).

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Q: Find the slope and the y-intercept of the line whose equation is 3x + 2y - 4 = 0.

A: To find the slope and y-intercept of the given line.  

Q: Problem 3. Let a, b be integers. (1) Suppose that gcd(a, b) = 1. Prove that gcd(a, b") = 1 for all i...

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Q: Sketch the graph of r = 4 sin over each interval.

A: Given, r = 4sinx, we have to sketch the graph of the given function in the following intervals.

Q: 1-x if x 0 x+2

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