Answer the following questions based on the graph of f(x). -3 -1 4 3 1 -1 2 1 2 3 a

Q: -4 -3 -2 -1 on t 8 7 16 1 5- 4 3 2 1 cia -1 -2 -3 1 2 3 5 Write an equation in the form y = c + a…

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Q: f(x) = arctan 3 (2³) 4

A: Power series derivative

Q: What is f'(x) given the integral function f(x) = f* 7uºdu? O f'(x) = x6 O f'(x) = -7x6 O f'(x) = 7x6…

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Q: Find the degree measure of the angle with the given radian measure. 7π 15 0

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Q: Consider the function f(x) = 4 - 2x², - 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

A: given,  f(x)=4-2x2,  -5≤x≤2

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 4. limit= -1 5. limit 3 6. limit does not exist

A: f(x)=(6x-4tanx)/sin(2x)

Q: You can rent time on computers at the local copy center for $7 setup charge and an additional ​$3.50…

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Q: What is the area of the integral of f(x) = == = -x +2within the interval [0, 2]? 3 2.5 2- 1.5- 11…

A: Here

Q: Find the centroid of the region bounded by the given curves. y=1-x^2 & x=-1-y

A: Two curves are given  y=1-x2 x=-1-y, which can be further written as y=-1-x.

Q: Calculate the line integral of F(x, y, z) = (e²,e.e) c

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Q: Find the degree measure of the angle with the given radian measure. 11% 12 Need Help? Read It

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Q: Use Green's Theorem to evaluate the integral [(y-x) dx+(3x-y)dy C for the path C: boundary of the…

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Q: A volume is described as follows: 1. the base is the region bounded by y = 2. every cross section…

A: The base is the region bounded by y=-x2+12x+42y=x2-28x+210 Every cross section perpendicular to the…

Q: find the average value

A: fx=x22-x2-1 ; 0,2

Q: A triangle has variable sides x,y,z subject to the constraint such that the perimeter is fixed to 18…

A: Perimeter of the triangle = 18 cmA triangle has variable sides= x, y, zTotal perimeter of the field…

Q: The demand curve for a certain product is given by p(q)=530−q2. The supply curve is given by…

A: The demand curve for a certain product is given by pq=D=530-q2 The supply curve is given by…

Q: 3. For each power series, find the interval of convergence and the sum of the series as a function…

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Q: JI F(x, y, z) = zei + x cos(y)j + xz sin(y) k, S is the hemisphere x² + y² + z² = 4, y ≥ 0, oriented…

A: Solving the following problem

Q: f(x) = (4+2)x+ tan¯¹ x

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

A: By using a triple integral to find the volume of the solid bounded  by the graphs of the equations.…

Q: What is the instantaneous rate of change of g(x) at x=-2 ?

A: Given that, g(x) at x=-2  To determine instantaneous rate of change of g(x) at x=-2

Q: The given curve is rotated about the y-axis. The surface obtained is a sphere of radius r. Find its…

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Q: Se the Divergence Theorem to evaluate as, where F(x, ·(²3 + tan 2 rface. First compute integrals…

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Q: Find the derivative using the chain and power rules. sin3x Please justify and explain why.

A: Let y=Sin3x.

Q: Find the divergence of the vector field F given by F(x, y, z)=sin(8x)+cos(5y)+z²k a. 8cos(x)-5sin(v)…

A: given F(x,y,z)=sin(8x)i+cos(5y)j+(z4)kwe know divergence of F(x,y,z) is…

Q: 3 .y = sin³xcosx

A: y = sin3xcosx

Q: Find the following coefficients. со 0 = C1 C₂ = C3 = C4 || = 5x x + 10 = n=0 Cnxn Find the radius of…

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Q: A. Sketch the region enclosed by the given curves and decide whether to integrate with respect to x…

A: given  y=x^2-4x y=2x

Q: Let F = (5xy, 5y²) be a vector field in the plane, and C the path y: = A. Evaluate SF. dr 3x²…

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Q: Find the arc length L of the graph of r(t). r(t) = t³ i + t j + = √√6t² k, 3 ≤ t ≤ 8 L =

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Q: 4. (Section 17.6) Find inside z² + y² = 4. ff.ds which gives the upward flux of F(2,3, 2) = =…

A: The given vector field is:F(x, y, z)=y, -z, 2xThe given surface is:z=4+y     inside x2+y2=4

Q: To prove the statement "For all integers a, if a² + ab + 3 is even, then a or b is even", you should…

A: To solve the following problem from Logic

Q: Determine an equation for the function shown. a) b) c) d) 0 y-tanx y=cscx-1 y=secx-1 t y = secx 4

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Q: The demand curve for a certain product is given by p(q)=525−q2. The supply curve is given by…

A: The demand curve for a certain product is : P(q) = 525 – q2 The supply curve is : P(q) = 1.1q2 Find…

Q: Find the sum of the series. n = 0 7(-1)^2n + 1 22n + 1(2n + 1)! X

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Q: A. Set up an integral for the area of the shaded region.  B. Evaluate the integral to find the area

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Q: The function ƒ(x) = 10x² arctan(ï³) is represented as a power series f(x) = Σno Chan.

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Q: Evaluate the following limits 5x4( − 1) X lim x→∞ 4x² (2x³ - 7) 1 x² – 3x6 lim xxx² + 2x³ +5 x² - 3…

A: or =5/8

Q: 3π Find the slope of the tangent to y = cos²x - sin²x at the point where x = 4

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Q: C1 C2 C3 Find the following coefficients of the power series. Co 9 C4 = R || || || = 9 (1 x³) = = ∞…

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Q: Find the​ producers' surplus at a price level of p=​$51 for the​ price-supply equation below.…

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Q: OTT 1 1) -1 0 1 -1 -1 0 2 0 6:9-619-68 0 0 0 0 \0 I L 001 0 00

A: 011-101-1-10~ (-1-10-101011)~ (110011011)~ (110001000)

Q: Evaluate (1+x² + y2) dV, where E is the region bounded SSS E TL by the surfaces z = 6y2 - 9x2, and z…

A: I =2π ∫∫∫E ( 1 + x2 + y2) dV z = 6y2 - 9x2z = 6 - 15x2 The intersection of these surfaces,  6y2 -…

Q: Determine whether the vector field is conservative. F(x,y)=5y²(4yî-x7) a. b. conservative not…

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Q: lim (x)¹/(2x) x→∞

A: We are required to find: limx→∞x12x

Q: c) Solve for x the equation In(x² + x) =ln (15-x²).

A: given,  lnx2+x=ln15-x2

Q: Find an equation for the conic that satisfies given conditions. Conic:hyperbola Focus:(0,-3)&(0,3)…

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Q: 1 Find the orthogonal Projection U<1, 1, 23 onto № 2-2, 3, 1 h And its orthogonal Componet to V

A: To find projection of vector u orthogonal vector to v.

Q: Evaluate the iterated integral. [T²³²T 1/xz In(z) dy dz dx

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