r = 4 + 3 sin 8

Q: Question 10 a) In the expansion of (2+2cx)6, the coefficient of the x³ term is the same as the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. Round your four decimal places. 5.¹…

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Q: f(x, y) = Ax² - Bxy + Cy² + x - y

A: f(x, y) = Ax2 - Bxy + Cy2 + x - y A = 4B = 4C = 2X0 = (x0, y0) = (5, 6) α = 1

Q: 5. f(x,y) = (x²y+ 3x) 5 A. fy B. fyy (1,-1)

A: To find out the partial derivatives.

Q: 2. Find an equation (parametric and vector form) of the line if the line is perpendicular to the…

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Q: 1. The plane 32-3y-z = 4 intersects the paraboloid z = 2² + y² in an ellipse. Use the method of…

A: Here we can find the points on the ellipse where the paraboloid intersects the plane by setting the…

Q: Find the values of t if Solve 144t³ ÷ 4t-4 √(9t8 (9t8 x 27t7) 314

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Q: find the radius of convergence of the series x^n/n+1

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Q: 1. Differentiate the following f(x) = (2x) (e4x)

A: f(x)= 2xe4x Find f'(x)

Q: Use the power series 1 1 + x f(x) = (-1)^x, x < 1 n = 0 to find a power series for the function,…

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Q: 11. The position of an object subject to uniform circular motion around the origin is given by (see…

A: The position vector is given by: r(t)=Rcosωtsinωt

Q: Find the particular antiderivative that satisfies the following conditions: dx 80 dt x = x(1) = 10.

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Q: Looking for someone to verify my problem solving. I graphed a region bound by y=1 and y=x^3. If I…

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Q: f(x) = √√/23 — x. Express with interval notation, using U for the union of sets and inf for ∞.…

A: f(x) is given, we have to find Domain and range of this function.

Q: Convert the point (p, 0, 6) = 5, 2π, 3T 3³7) to 4 to Cartesian coordinates. Give answers either as…

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Q: Consider the function f (x) = ln(x2 + 9). Find where f is increasing, decreasing, concave up, and…

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Q: Use the Laplace transform to solve the given integrodifferential equation. t f" X(T) αT, y'(t) = 1 -…

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Q: lve each of the following parts. You do not need to simplify. d à. dx π Evaluate * cos(t³) dt.

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Q: all numbers h such that the average value of f(x) = 3 + 10x. 6x² on the interval oblis equal to 4…

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Q: cises 5–12, calculate MN and TN for the value of N indicated.

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Q: Question 6 Line ₁ has equation y = 3x + 8 Line 2 has equation y = -7 - 2x Lines ₁ and 2 intersect at…

A: We are given: That the lines l1: y=3x+8   andl2: y=-7-2xintersect at point C and we need to find the…

Q: For n greater than7, find three consecutive integers n, n + 1, n + 2

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Q: The demand function for a certain bran of CD is given by = -0.01x² - 0.1x + 37 p=

A: The  demand  function for a  certain  brand of CD is given  by p = -0.01x² -0.1x + 37  where p is…

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: 6. Ambrose is a wedding planner. He has hired a band that charges $750 for 3 h of music or $1200 for…

A: Band charges $750 for 3 hours and $1200 for 6 hours of music.

Q: 2. (a) Calculate the exact length of the curve r=1-sin@ for 0 ≤0 ≤ 2T.

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Bonus: Find the relative extreme values and saddlepoints (if any) of the function: F(x,y) = x² +…

A: F(x,y)=x2+2y2+2xy+2x+4y+5

Q: b) Find the area of the largest rectangle that can be inscribed between the x-axis and the graph…

A: To find the area of the largest rectangle that can be inscribed between the  x-axis and the graph…

Q: Don't understand how this is put over

A: The volume of the cylindrical shell with width dy and radius x is defined as, dV = 2πh(y)r(y)dy…

Q: 1= find the volume of the solid of revolution. 4-x=(y-2)² 3 2

A: The given curve is: 4-x=(y-2)2

Q: f(x,y) = x² y¹ e¹² + yz² ln(2x+1) + 2xyz² a. fx 7. b. fxy C, fxyz Find

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Q: 6. a) Determine the slope of the tangent to the curve (shown in the picture) at the point whose…

A: Given curve is g(x) = 5x.

Q: (3) Sketch the graph and find its area of the region between the curves y = sinx, y = cos x over the…

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

Q: 7t 5. Given that v(t) t² + 3 cm/sec, estimate the displacement the particle has traveled from t = 0…

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Q: Write the equation in spherical coordinates:   x2 − y2 − z2 = 1

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L r(t) = e√²ti + e-√²tj + 2tk, 0≤…

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Q: ng circle. Then, write the equation of the circle in both Standard -8 -6 y 6 + 4 24 -4-20 -6+ -8+ N…

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Q: Find the demand function x = f(p) that satisfies the initial conditions. 600 (0.04p - 1)3' X = dx dp…

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Q: 7. pπ/2 0 sin x dx, N=6

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Q: The projected rate of increase in enrollment at a new college is estimated by dE/dt=6,000(t+4)^-3/2…

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Q: "//₁² F. ds, where F(x, y, z) = xi-x³z2j + 4xy²zk and S is the surface bounded by cylinder x² + y2 =…

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Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

A: C is the positively oriented square with vertices (0,0),(3,0),(3,3), and (0,3). Line Integral…

Q: Find the area of the region bounded by: r = 9 - 2 sin

A: Area bounded in the polar region is given by A = 12∫r2dθGiven expressionr = 9 - 2sinθ

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: The given function is:f(x)=x2+1        on 3, 7

Q: Find the moments of inertia I, I, Io for the lamina below. Ix Iy Io II II || D is bounded by y = ex,…

A: The given Lamina is: D=y=ex,  y=0,  x=0  and  x=1ρ(x, y)=17y

Q: Find the area bounded by the given curves. y = x² - 13 and y = 2 - 14x² square units Find the area…

A: We have to find the area bounded by the curves.

Q: Use polar coordinates to find the volume of the given solid which is below the plane x+2y+z=5 and…

A: The region bounded by below the plane x+2y=z=5 and above the disk x2+y2≤4

Q: 7. Find lim (3x² +π)¹/ln(5x)¸ X→∞

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Q: 26. Use the FTC and IBP to solve the definite integral: [². a sec² (2x) dx =

A: We have to evaluate the integral. Fundamental theorem of calculus (FTC) :   If a function f is…

Q: f(x) = In csch 16x

A: We know that the derivative of ln(x)=1/x  And  Derivative of csch(mx)=-m*coth(mx)*csch(mx)