The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or continuous? Give reasons. 15)

Q: {2, y) = tans (2 I

A: Please see the below picture for detailed solution.

Q: Given y = f(u) and u = g(x), find = f'(g(x))g'(x). dy dx y=% U=COS X dx =

A: If y=f(u) and u=g(x) then dydx = f'(g(x))g'(x) .

Q: A light source is located over the center of a circular table of diameter d = 12 feet (see figure).…

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Q: Suppose that the length 7, width w, and perimeter P of a rectangle are differentiable functions of…

A: Topic = Derivative

Q: Write Z₁ and Z2 in polar form. Z1 = Z2 = Z₁ = 2√3-21, Z₂ = −1 + i Find the product Z₁²₂ and the…

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Q: Find the maximum value of f(x, y) = -7x²+2x+4y² +4 on the region x² + y² ≤ 25. Enter an exact…

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (-3, -4) and the direction in…

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Q: 7x sin²(x) dx =___________ (Apply integration by parts method) O 7x tan(r) 7x cot (x) 7x In(sin(x))…

A: Topic = Integration

Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

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Q: Find the absolute maximum and absolute minimum of the function f(x) = Provide your answer below:…

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Q: GIMME MY MONEY Terry had $6,349 in his Saving account in. He gained 4 % interest per year for t…

A: Here we have to create the equation from given information

Q: Find the inverse for each of the following functions. f(x) = 9x + 1 f-¹(x) = g(x) = 12x³ - 5 g-¹(x)…

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Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: 1) Find the domain of the function f(x) = √3-x x+4

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Q: Let Y represent the profit (or loss) for a certain company X years after 1975. Based on the data…

A: We have given model Y=-0.68X+21.75 To get profit in 1993 Put, X=1993-1975 =18 So, Y=-0.68×18+21.75…

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = t³ + 9t² −…

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Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: 5. Find the inverse function of f(x) = 3x - 7. 3.2.1) mont noita ovitostjd a (ewors diw) Jou Maitsa…

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Q: If f(x) O _ x9 (4x +11)³' 99x8 (4x + 11)4 O 15x +97 4x + 11)4 0x8 x (32x + 109) (4x + 11)4 O x³ (24x…

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Q: X y 1 2 712 4108 y = 3 10550 4 23011 5 41381 6 60925 Use linear regression to find the equation for…

A: use the calculator to find the linear regression in your calculator press STAT select edit by…

Q: Find the indicated partial derivatives of f(x, y) = 9x³y² using the limit definition. The limits…

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Q: Let f be defined as follows: x 0 f(x) = Which of the following statements are true about? 1. f(0)…

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Q: Let y be defined implicitly by the equation dy Use implicit differentiation to evaluate at the point…

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Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola y =…

A: Topic = Volume

Q: conical tank with the point oriented down, a height of 20 feet, and a radius of 3 feet has sprung a…

A: Given query is to find rate of change of height.

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y (s). Y(s) =…

A: We have to find the Y(s).

Q: 2. Define G(n) positive. -¹e dr. Show the reduction formula G(n + 1) = nG(n) if n is

A: Concept: Integration by parts: ∫f(x)g(x)=f(x)∫g(x)dx-∫ddxf(x)∫g(x)dxdx L hospital rule: A general…

Q: 7 N 3 + -4√2 + √z dz

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Q: For the given cost function C(x) = 12100 + 300x + x² find: = a) The cost at the production level…

A: We are allowed to solve the first three subparts of the question. If you need the rest of the…

Q: True or false? The function is decreasing. f(x) = ex O O False True

A: We have given function  fx=e-x Derivative of the function is given as f'x=ddx(fx)=ddxe-x…

Q: Find the transform of the given function by use of a table. f(t)=e-4 4 A F(s) = 5(₁-4) 1 s+4 B F(s)…

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Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

Q: A baseball with mass 0.13 kg and speed 41 m/s is struck by a baseball bat of mass m and speed 38 m/s…

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Q: Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The…

A: need to find out by linear approximation the value of 1.95⁴

Q: A 6 foot tall person walks away from a 14 foot tall lamppost at a constant rate of 2 feet per…

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Q: Q1 Consider the plane curve defined by the parametric equations x = 2 + 2 cos² (t), y = 3+ sin(2t)…

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Q: esigning a Norman Window  A Norman window has the shape of a rectangle surmounted by a semicircle.…

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Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: Solve the right triangle. Round your answers to the nearest tenth. 50° 26 B B = ₁ -0 c = 0 a = X

A: We can find the required answers using the given right triangle in the below steps.

Q: x³ +27 lim 2-32+52tô +5+6 x→-3

A: Given query is to find the limit of the expression.

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

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Q: and all functions that have a derivative functions have the form 0

A: Topic:- application of integration

Q: Find the inverse Laplace transform L¯¹{F(s)} of the function 2 F(s) = s² + 5s 6 NOTE: The answer…

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Q: The area of the region bounded by the two curves y = x² and y = 81 is. Square Units

A: Topic = Area

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: PROBLEM # 2 Standard form Vertex form 3(x + 5)² + 10 = y Axis of symmetry Opening (upward or…

A: Given vertex form of equation of parabola is, 3x+52+10=y

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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