Find the volume of the solid generated by revolving about the line y = 0 the area bounded by x + y = 5, y = 0 and x = 0. (DICP339)  Circular Disk Method

Q: 8. a. Using the vectors x = (3, 3, 1) and y = (-−1, 2, -3), verify that the following formula is…

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Q: Given cost and price (demand) functions C(q) = 110q+44,000 and p(q) = -1.8q +850, what is the…

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Q: >dt CD Stat, cosat, 4trat

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Q: Consider the following: (5/2,1), (-9/2, 8/3) Find the distance between these points.

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Q: (-1)n+1 Given that ³²= 24 x²n. Obtain the power series representation of each of the following 9+x²…

A: Given: Now,           -39+x2' =-319+x2' =-39+x2-1' =-19+x229+x2' =-3-19+x22· 2x=6x9+x22

Q: • Let I be a vector-valued function defined by &(t)= it tal [ouve It cosnt 3-√61-62 12(1-2)' Int if…

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Q: 1. A parallelepiped is defined by vectors à = (2,-5, -1), b = (4, 0, 1), c = (3,-2,-2). What is the…

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Q: f(x, y, z) = x cos(y - z), find: 02 f дудх 02 f дхдz 3. Given (a) (b) (c) (d) 82 f 0x2 8 f дхдудz

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Q: enomena. f(t) is the height in centimetres of the sea above mean sea level in Cape Town due to the…

A: answer is in next step

Q: 3. Sxsin x dx

A: topic- indefinite integral

Q: The figure shows f, f', and f". Determine which is which. 7 The graph of fis O graph 3. graph 2. O…

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Q: 3 S₁ x ³ exdx

A: Evaluate the definite integral :        ∫01x3exdx

Q: A point P is moving along the curve y = √√x² + 5. When P reaches the point (2, 3), y is increasing…

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Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Consider a 200-N weight suspended by two wires as shown in the figure. Find the magnitude and…

A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

A: The objective of the question is evaluate the definite integral.

Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

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Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: (2)√√2x+1 dx

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 2 meters above the…

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Q: Find the value of x if O 1.84 O 1.77 O 1.32 O None of these O 1.52 metazaf =7

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Q: Define the following sets: A = {1,3,7,9,10) B = C = {0,1,3,10} D = {2,4,6,8,10} E = {x: x is a…

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Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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Q: Find the Mass, Moments along x and y, Center of Mass, and Moments of Inertia of the region bounded…

A: The given region is bounded by x+y=2, x=0, y=0 as shown below: The region is given by R=x, y:…

Q: Given the function  y = 5 arcsin(x),  find  y'.

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Q: Is it possible to get the area between y² = 3x and y = x³, using a. vertical strips b. horizontal…

A: Question is solved.

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

Q: f(x5) (16-x²)³/² dx

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Q: (f) The function f(x) = √√x is differentiable at x = 0. ○ True O False

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Applications of Differential Equations 3. A small metal bar, whose initial temperature was 20° C,…

A: Above question is solved.

Q: 8. · √(x) √₁² 1 9. J 5x + 1 dx 10. S 3x +9 (x) √√x² - 1 dx dx

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Q: Determine the antiderivatives of the following functions: 4. f(3x² +1)4 x dx 5. s dx

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Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

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Q: π Determine the Taylor series for f(x) = sin x about x == 3

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Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: All exponential functions can be written in many forms. Write the function ƒ(t) = 9600 (2) ³ in the…

A: We have to write the function in required form.

Q: 921) Which of the following is an odd function A) cos xsin x 11 sec.x C). DUNK DOOV

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Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: 10. Evaluate cos x sin² x dx

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Q: Next question -4b3 {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ +…

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Q: Find the derivative of each of the following functions:- log₂ x 2. y=- X

A: The given data is: y=log2(x)x   To find the derivative.

Q: Please can I have the correct solution to this mathematics problem in a step by step form. Thanks…

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Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

Q: Find the Jacobian of the transformation z = 4u – 6v, y = u² − 2v

A: The objective of the question is determine the jacobian transformation.

Q: xy = 1, y = 0, x = 1, and x = 2 is rotated about the line x=-1.

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Q: B. Find the area bounded by the given curves Show the graph (you can use any graphing software,…

A: A detailed solution is given below.