13. Find the mass of a thin funnel in the shape of a cone z = x² + y²,1

Q: From Rogawski ET 2e section 10.5, exercise 7. Apply the Ratio Test to determine convergence or…

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Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming…

A: Let's find.

Q: In Exercises 1-3, find the general solution of the differential equation specifie lip 2. dt 1+t

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Q: What is the length of a laptop computer centimeters or meters

A: We have to tell the unit of length of the laptop.

Q: Let C1 be the curve with parametric equations x = cost, y = sint – t, where t e [0, 5]. (a) Find the…

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A: topic - application of derivatives

Q: Find the average value gave of the functiong on the given interval. g(x) = 3x, [8, 64] gave %3D

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Q: Find the area in the first quadrant bounded by y=4x-x² and the x-axis

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Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

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Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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Q: 2. Find the area bounded by a curve x = y - 2y? - 3y and the x- axis 3. Find the area bounded by a…

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Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Find the limit. lim (t i - 7 j+ t k) t-5 lim (t i - 7 j+? k) i+ i j+ i k

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Q: 2. Sin 2x dp X UIS 6.

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Q: Among all the points on the graph of z=7-x-y that lie above the plane x+3y+8z=D0, find the point…

A: Hee, the given surface is z=7-x2-y2 and the plane x+3y+8z=0 which passes through the origin. So, the…

Q: actorise the polynomial 2x3 – 3ix² + 2x – 3i. Show all working.

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Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

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Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

Q: An individual needs a daily supplement of at least 312 units of vitamin C and 170 of vitamin E and…

A: Let, the amount of food I be x ounces.and, the amount of food II be y ounces. as the quantity of…

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

Q: Let f(1) = 5I + 2. Using the definition of derivative at a point, %3D a. enter the expression needed…

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Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

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Q: 4. Below is a photograph of the Eiffel Tower in France. On it there is a red parabola and purple…

A: the pair of equations can be x2=-8(y+30)      ... Parabolax236-y2169=1    ........ Hyperbola

Q: The state of Alaska allows for the following sequence on license plates, 2 letters followed by 3…

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Q: If f(x) = 4x(sin I + cos I), find f'(r) -| 4x cos(r)- 4z sin(r) +4 sin(r) +4 cos(r) f'(1) =

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Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

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Q: 2x3 dx 2x2-4x+3 3.

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r'(t)||³ r(t) : = 11 cos(3t)i +11 sin(3t)j +…

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Q: 73 dx

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Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

Q: Given below is the augmented matrix of a system of linear equations.

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Q: at x = 2 for the function below. dx Evaluate y = - 5u? + 4u + 9, where u = 9x2 – 2x + 4 Answer…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: Find the particular solution of the following ODE given that y(0 d’y +y=e* dx

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Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: Find area between f(x) and the x-axis on the domain 1<x<infinity.  show work including proper limit…

A: Given query is to find the area.

Q: Evaluate the limit, using L'HÔpital's Rule if necessary. sin 3x 1. lim x→0 tan 8x In x5 2. lim x7 –…

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Q: 11. If f"(x)=-4sin 2.x, f(0)=0and f'(0) =2, find the value of f 4 %3D

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Q: 2n n E(-1)"; n! n=1

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Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: Suppose that f is a continuous function such that | f(z) dz =-12. Find 2i (r") dz.

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Q: Find the derivative of f(x) = log, (7x). (Use symbolic notation and fractions where needed.) df dx…

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Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

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Q: Determine the value of 3A+1OB if 14x2 + 33x + 9 Cx + B %3D (x – 1)(x+ 1)2 x - 1 (x + 1)2 Answer:

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