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Q: 2. A balloon in the shape of a sphere is being inflated at the rate of 100 cm/sec. a. At what rate i...

A: a) Given that the balloon is in the shape of sphere and it is being inflated at the rate of 100cm3/...

Q: A circular plate with radius 8 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: Solve the linear programming Problem:Minimize Subject to C=-7x+yx+5y less than or equal to 206x+5y ...

A: Draw the given inequalities to obtain the feasible region as shown below. From above figure, the co...

Q: To the right, you are given graphs of the functions f and g. Consider the functions u(x) = f(g(x)), ...

A: Graph of function f and g And functions u(x) = f(g(x)), v(x) = g(f(x)), and w(x) ...

Q: 1. Divide: 1296 + 4

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Q: How to solve this problem

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Q: Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Mo...

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Q: 7 3 6 Let u = 2 , v = and w = 3 It can be shown that 3u – 5v – w = 0. Use this fact (and no row oper...

A: Given that, u=725, v=313 and w=610 And relation is 3u-5v-w=0

Q: Sketch a graph of the polar equation r = 5 − 4 sin

A: The given equation is r=5-4sinθ. Sketch the graph of the above equation as shown below.

Q: 5.5.20

A: Evaluate by Using of change of variables in the definite integral, ∫x+292xdx

Q: Find the general solutions to the differential equations: y" + 5y' - 6y = 0 y" + 6y' - 9y = 0 ...

A: We have to find general solution and particular solution of given differential equation according to...

Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the...

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached...

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In othe...

A: According to Gauss divergence theorem, ∬SF·dS=∭VdivFdV⋯⋯1 Here, S is the closed surface of the cube ...

Q: If u(x)=f(x)g(x) find u’(1)

A: From the given Figure, it is observed that graph of g contains a component of line which is passing ...

Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But...

A: Total number of apple trees=x+19GIVEN:Additional tree planted the yield will decrease by three app...

Q: A projectile is launched with an initial speed of 220 feet per second at a height of 4 feet and at a...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: the gaming company t games recently released their new game among us the cost of production x games ...

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Q: 3. Evaluate derivatives of following. Tell me WHICH RULE vou are using and CLEARLY SHOW your use of ...

A: a). Given function y=30x9-20tan(x)+x5+10ex+ln(4000) Simplify the function y, y=30x-9-20tan(x)+x5+10e...

Q: Express number as ratio of the integers:

A: consider the equation

Q: a. Show that the line through vectors p and q in R" may be written in the parametric form x = (1– t)...

A: (a) To show that the line through vectors p and q in ℝn may be written in the parametric form x=(1-t...

Q: Give the center and radius of the circle described by the equation (x + 2)2 + (y + 2)2 = 4 and graph...

A: the given equation of the circle is x+22+y+22=4 the equation of the circle can be written as: x+22+y...

Q: (2x 1) (x+5) 3) Let R(x)= %3D (3-x) (x+4)2 3a) Determine the intercepts of R. 3b) Fin the equations ...

A: Given: Rx=2x-1x+5 3-xx+42

Q: i) What is the degree of f ?ii) Determine the zeros of f and their multiplicities.Also, determine wh...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Match the equation 4x2 + y2 = 4 with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and...

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Q: You add a finite number of terms to a convergent series. Will the new series still converge? Explain...

A: According to the question, we have to check the convergent series, what does affect on the series if...

Q: Fill in each blank so that the resulting statement is true.

A: we know that logamn=logam-logan so, we can say that the quotient rule for logarithms states that log...

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

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Q: 8) Find the inverse of the following function. f (x) = {(-3,6), (-2,5), (4, 2), (–4, 1), (5, – 5)}

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)2(x3 + 4)4

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Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval ...

A: Given:y=x100-x2

Q: 1 This question is about caleulating sin(126y) lim sin(42y) Your friend gave the following solution....

A: given: limy→0sin126ysin42y the first step in the solution that is limy→0sin126ysin42y is incorrect b...

Q: Problem 5: Find the equation for the plane which passes through (1,5,7) that contains the line given...

A: To Determine: Find the equation for the plane which passes through (1,5,7) that contains the line gi...

Q: Consider the function on the interval (0, 2π). f(x)=x/2+cosx a. Find the open intervals on which th...

A: given that f(x)=(x/2)+cosx we need to find: (a) the open interval on which the function is increasin...

Q: I have two functions. Function f models total world population x years after 2000 and function g mod...

A: I have two functions. Function f models total world population x years after 2000 and function g mod...

Q: Cynthia throws a rock that she found on the beach into the water. The rock follows a parabolic arc t...

A: given that when Cynthia throws a rock into water , the path of the rock can be modelled by the equat...

Q: Suppose the radius of a sphere are expanding at a rate of 6 inches per minute.How fast is the volume...

A: Let us suppose the radius of sphere be R. Given that : dRdt=6 incheminute. Radius=Diameter2=122=6...

Q: Find g'(x) USING THIS FORMULA g'(x)=c*g'(x)

A: Given, gx = x2 - 3 2x2 + 3