WORK. 1. Find the coordinates then plot the centroid of the given plate (below).

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

Q: s the volume of the frustum of a cone whose upper base is 16 cm in er, lower base 10 cmin diameter,…

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Q: Evaluate by separation of variables. dB u(1 – u?) sec² ß | du

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Q: VECTOR DIFFERENTIATION: If R = e^(−t) i + ln(t^2+ 1) j - tant k. Find: (a) dR/dt, (b)…

A: R=e-ti+ln(t2+1) j-tant k

Q: Select from multiple choice and fill in the blanks

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Q: Use the position function s(t) --4.9+ 650, which gives the height (in meters) of an object that has…

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Q: Learning Task 3: Identify whether the given graph illustrates an extreme value theorem or not.…

A: Let's find.

Q: ocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial…

A: We are asked to find the height of the Rocket

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: E Homework: Section 4.7 Use the given zero to find the remaining zeros of the function. h(x) = x -…

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 -5 + 2e-* f(x)…

A: The objective is to evaluate the limit.

Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

A: I am attaching image so that you understand each and every step.

Q: Funetion Values. Find Re f. and Im fand their values at the given point z. f) = 1/1-2) at 1- i 2) at…

A: Since we have the function                                             fz=11-z then we have to find…

Q: Solve the following system of PDES. Uzz = 0, Uzy = 0 0, uzy = 0

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Q: dx x* +3

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Q: ind the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given: u=3  θu=8v=1 θv=3

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: A cubical container that measures 2 inches on a side is tightly packed with 8 marbles and is filled…

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Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 5. x = c1coswt + c2 sinwt

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Q: y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Which of the following integrals are improper? (Select all that apply.) dr 6x – 1 dr 2r – 1 sin (x)…

A: An improper integral is an integral that has either or both limits infinite or the integrand reaches…

Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: (i) re dr -2

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Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

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Q: e* +e* –x? - 2 Lim sin? x– x? 2

A: To solve the given limit of the function

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: If one side of a square is 5 meters in length, what is the length (in meters) of one diagonal? * 5/2…

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Q: Find the equation of the vertical aymptote of the function: f(x)= (x2 -3x-10) / (x2-11x+30)

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Q: tion Using Integration by parts, evaluate: S x³Vx3 + 1dx Your ancwor

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Q: dy Find and simplify whenever possible. dx secx+tanx 1. y sec x-tan х

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Q: Evaluate by separation of variables. dB du = u(1 – u²) sec 3 O 2u? + sin 28 = C – (1 – u²)² O 2 sec…

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Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: *5. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We need to use the approximated formula of area of the respective methods.

Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

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Q: O 2y = x In cx?

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Q: (0, о, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: What is the value of the trigonometric expression below? * sin 0° + sin 1° + sin 2º + sin 3º + ... +…

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Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…