f(x) = 3+x² 0> x — 0 < x < 2 а X (x + 1)² + b _x > 2

Q: In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase.…

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Q: Find the derivative in problems 1-16. 1. y = tan 2x 9. y = x tan x 13 W = sin A tan 2A 4. y = 9 cot…

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Q: An airplane is flying on a compass (bearing) of 170° at 460 mph. A wind is blowing with the bearing…

A: Given: Velocity vector of plane in air (velocity vector w.r.t. air) = 460mph with 170o bearing…

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = −0.5x + 450, what is…

A: As we know that the relationship between the marginal revenue and total revenue is:   MR=dTRdx…

Q: Se ทะเ Ifu ^^ +2 2

A: To find whether the series is absolutely convergent or not.

Q: let t eti = 올 h20 nit1 Compute Bo, B₁, B2, B3

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

A: The given cylinder is x2+y2=4 The plane is z=4

Q: 3.Describe the largest set S on which it is correct to say that f is continuo a. f(x,y) =· x² + xy-5…

A: Given function is f(x,y) = x2+xy-5x2+y2+1 we have to find the largest set S on which f is…

Q: Find the volume of the region under the surface z = 25 and above the triangle in the xy-plane with…

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Q: 3. A volume is described as follows: • The base is the region bounded by y = 2x² and y = 0. • Every…

A: Given - The base is the region bounded by y=2−18x2 and y=0. Every cross section parallel to the…

Q: Find the general solution of the following differential equations USING ROO a. (D²+1)y = csCX b. d²y…

A: (a)   given (D2+1)=cosecx The auxiliary equation is m2+1=0 m=±i C.F = c1cosx+c2sinx…

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given that C'(x)=6x2-5xC(0)=5,000

Q: Use Stokes' Theorem to evaluate -49 6. F. dr where C is oriented counterclockwise as viewed from…

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Q: Polonium-210 decays at a regular and consistent exponential rate. The half-life of Polonium-210 is…

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Q: Find the surface area of the part of the plane z = 3 + 5x + 4y that lies inside the cylinder x² + y²…

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Q: Q10 Let f(x) = 3+x². 5 x = 2. Give an exact form. x² +1 dt. Find an equation of the tangent line to…

A: f(x)=3+x2∫5x2+1et2dt

Q: In(x/3) 2-3 x²-9 (Enter undefined if the limit does not exist.) Find the limit: lim

A: The given limit limx→3lnx3x2-9 To find the value of limit.

Q: A piggy bank contains only nickels, dimes, and quarters. There is a total of 105 coins and the total…

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Q: Σ (+1)"e=" n=1

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Q: Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (2,8) on the graph…

A: f(x)=3x2-x-2

Q: Use the graph of y=f(x) shown to the right to graph the following function g. g(x)= -f(x-4)-1 Choose…

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Q: Question 25 Graph the function labeling all key points and asymptotes.. y = -2 tan r 4

A: We have to graph the function.

Q: Sketch the region enclosed by the curves y = sin(x), y = csc²(x), x = and x = 3, and compute its…

A: Sketch the region enclosed by the curves y= sin(x), y= cosec2(x), x=π4 and x=3π4 and compute its…

Q: Find all the second-order partial derivatives of the function f(x,y) = 6x² + 4y + 7x²y².

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Q: The wind-chill index (in degrees C) is modeled by the function W = 13.12 +0.6215T-11.37v0.16…

A: The wind-chill index (in degrees C) is measured by the function…

Q: Find the area of the region enclosed by the curves between their intersections y=-3x² and y=-√x

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Q: What is the value of sec 1( 37) ₂

A: we need to find the value of sec-176

Q: Let R be the region bounded by y=x, y=2x, x=1, x=2, and I= -SS. 6 y RX²+ - dA. c) Setup the integral…

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Q: You are given relationships: g = x² - y² ; x = t cos r; y = t sin r; and values t = 3 and r = π/4.…

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Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim sin(14x)-14x…

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Q: Find the second derivative. 21. y = 3 tan x

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Q: Determine if the series converges or diverges. Discuss/prove how you arrived at your conclusion and…

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Q: Find a rational zero of the polynomial function and use it to find all the zeros of the function.…

A: f(x) = X3+7x2+ 8x + 2

Q: Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1…

A: Given: Monique and Tara each make ice cream sundae. Monique gets 3 scoopsof Cherry ice-cream and 1…

Q: Find the surface area of the part of the plane z = 7+ 4x + 6y that lies above the rectangle [0, 4] ×…

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Q: The gradient of f(x, y) = e³zsin(1- y) at (x, y) = (2, 2) is defined as followed: V f(x, y) =…

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Q: A7.00-ft-tall man walks at 4.00 ft/s toward a street light that is 15.0 ft above the ground. At what…

A: Given: A 7 ft tall man walks at 4 ft/s toward a street light that is 15 ft above theground.  We are…

Q: If g(x) is continuous on [-2, 8] and what is the average value of the function g(x) on [-2,8]?…

A: if gx is continous on -2,8 and ∫-287gxdx=253

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

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Q: Find the fixed point of the function f. [A fixed point of a function f is a real number c such that…

A: Given that : A fixed point of a function f is a real number c such that f (c) = c. So, the fixed…

Q: Use the indicated substitution to evaluate the integral. 5/2 [5²2 x² √ 25-x² (Give your answer to…

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Q: The integral that represents the length of the curve y = x7/2, where 1 ≤ x ≤ 4, is the following: 1…

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Q: Where does 480 come from? 20*24?

A: Given that,T(t)=20+5cos(π12t)We have to find the average temperature over (0,24) hours.

Q: = The region D above lies between the two red lines and the red parabola y describe in two ways. 4…

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Q: a B Find: b C A Note: Triangle may not be drawn to scale. Suppose a = 12 and A = 5 degrees.

A: a=12 , A=5°

Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: (iii) {(x, y, z) = R³: (x, y, z). (1, 1, 1) = 0} = {(x, y, z) = R³ : x+y+z = 0} = {(1,-1,0), (1, 0,…

A: Given,   {(x,y,z) ∈ R3:(x,y,z)-(1,1,1)=0}={(x,y,z) ∈ R³:x+y+z=0}=L(1,-1,0),(1,0,-1)} and we need to…

Q: 4. f(x) = x³ - 2x² - 4x+2, [~1,0] find the absolute maximum and minimum

A: Given: f(x)=x3-2x2-4x+2 We are required to: Find the absolute maximum and absolute minimum value of…

Q: Solve the problem. 29) The spring of a spring balance is 5.0 in. long when there is no weight on the…

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