If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O does not exist O NONE OF THESE -2 O 4

Q: Given the following differential equation y' - 3y = 0 Plug in the appropriate power series for "y"…

A: Use power series  for finding the correct option

Q: Let u = (-3, 2), v (0,-1) and A = %D %3D %3D NOTE: Give ezact answers. (a) Find ||u|| relative to…

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Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: nd the average value of the function over the given interval. (Round your answer to three decimal…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 WIN…

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: Find the gradient field of the function, g(x,y,z) = e 3z - In (x +2y).

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Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

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Q: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

A: We have to convert the integral from rectangular coordinates to both cylindrical and spherical…

Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: * TO 7. Determine a function whose graph has vertical asymptotes at x = ±2 and a horizontal…

A: The objective is to determine the required function.

Q: Find the equation of the tangent line to the curve y = (2? - 8)' at point (5, 2). y =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Suppose a person travels at a rate of 4 ft/hr toward the foot of a street lamp pole 51 ft high. The…

A: Solution: Let  H denotes the head of the person and P denote the top of the pole.  At any instant…

Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Find the solution of the initial value problem y" + y = 8(t - 2), y (0) = 1, y' (0) = 2.

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Q: Sales. Suppose a tricycle company projects sales to increase with the function f(x) = 4(x + 4)2…

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Q: Graph the constant profit lines for the objective P=5x+8y through (4,4) and also through (6,6). Use…

A: Please refer attached file for solution below

Q: 4 dx X-X-2Ą

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Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: Find the area, A, between the curves y = In x and y = In 3x from x= 1 to x-2. The area is A = (Type…

A: We have to find the area between the given curves.

Q: 4. y = Vesinx + 2

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vy The domain of…

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Find the values of x for which the function is continuous. f(x) 5x2 + 7 7 all x, х # 5 7 O all x, x…

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

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Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

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Q: Vn Find the area between f(x) = x- 16 and the x-axis from x 0 to x 9. The area is square units.…

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Q: If f(x,y) %3D — 4y3 — 4ху — 12у — 3х? - 5х - 21 then fy equals ху O -6 -12y? – 4x - 12 | —4y — бх —…

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Q: (24a²x + 8ay?)i + (82³ – 2ay)j – (2z + 8x² + 8y?)k. (a) Find the value(s) of a making div F = 0 a =…

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Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: Find the area enclosed by the curves f(x) = 32-x and g(x) =x. %3D %3D The area (rounded to two…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: Find the indefinite integral of f(x) = x^1/3

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

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Q: -13y+1 2y+3y-5 olo

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Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: Q1: Using the Laplace transforms we found in class, together with linearity, com- pute the following…

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Q: Evaluate the double integral // fO f(r, 0) dA. T/6 (4 r2 sin(0) cos(0) dr de Sketch the region R.

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = ey? The domain of…

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Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

Q: 14

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