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Q: dy – y (xy' -1) .3 2.) dx

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Q: Let solid inside the sphere x² + y²+ z² but autside the cylinder x² + y? =1, baunded above by xy -pl...

A: Answer is mentioned below

Q: Write a formula for the function g when the graph of f (x) x2 is shifted 5 units left and a formula ...

A: Topic:- function

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid di...

A: For the following problem,

Q: Eveluate I= dx dy Cali

A: Use the change of Variable to prove it.

Q: 2.) a) Sketch the region enclosed by the given curves. x = 1 – y; x =y – 1 b) Decide whether to inte...

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Q: 5. Evaluate the integral " Vtan o dex 1. de in terms of beta and Vtan gamma functions.

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Q: 2.2 The TUT cafeteria at the eMalahleni campus is home to an industrial juice dispenser with a volum...

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Q: The market for a particular consumer good has a demand function given by: q = 24 - p and supply give...

A: Given, Demand function (p)= d(q)= 24-q Supply function (p)= s(q)= q+q²

Q: Let F(x, y, z) = (x – ye2,y + xe?,8- 2z) and G be the solid below the paraboloid z = 4 – x² – y2 and...

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Q: Which graphs shows the function f (x) = x + 6x + 8z2 - 6z - 9? 20 15 -10 -15 20

A: Explanation of the answer is as follows

Q: Some values of adifferentiable function f and its derivative are given below. 2. 4. 15 13 10 6. fCx)...

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Q: • In 2 cV(In 2)²-y² R+y° dx d

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Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

A: Topic:- application of integration

Q: Find the domain of the function. (Enter your answer using interval notation.) x + 4 x2 - 49 f(x) %3D

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Q: Some values of a clifferentiable functionfand it derivative given belouw. are

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Q: QI. Find the eigenvalues and the corresponding eigenvectors for the following 3x3 matrix. 1 -1 2 -1 ...

A: The given matrix is:A=1-10-12-10-11we nedd to find the eigenvalues and the corresponding eigenvector...

Q: 5. Use Green's Theorem to evaluate f. $ (y² – 4x) dæ – (2+ x²y²) dy where C - - is shown below. y (5...

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Q: Consider the iterated triple integral in cylindrical coordinates 1 c2+r p3dzdrde a) Sketch the solid...

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Q: 8.5cm 15.58° 22.54° -x> pe-Y

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Q: 1 50 50 5. = 20 and n+1 n=1 10. If f(i): g(i) = 30, %D i=1 %3D1 50 g(i) + 3f(i) what is the value of...

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Q: g(x) = t² - t dt g'(4)

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

Q: if z = 1-i,w = -2+ 4i then |zw + wz] =

A: Given  z=1-i , w=-2+4i

Q: Evaluate the triple integral. 8 sin(y) dV, where E lies below the plane z = x and above the triangul...

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Q: Q2) Solve the following ordinary differential equation with the undetermined coefficient method. y" ...

A: The given differential equation is:y''-3y'+2y=e2xcosxWe need to solve this by the method of undeterm...

Q: The value of (1+i)². is 5+4i

A: Given: 1+i25+4i To find: The value of 1+i25+4i  

Q: Using the Min-Max Inequality (see Table 5.6 in Section 5.3), we can determine the following: (Fill i...

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Q: 14. Which angle is NOT coterminal with an angle of - radians in standard position? A. -* B. C. On D....

A: As per bartleby guidelines we only give first three  question answers.

Q: Let f(x,y) = e* cos(y+5). Then fex- 16fyy = 0 Szx+ fyy 0 O the above is correct O the above is corre...

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Q: Problem 3 - Integrals: The market for a particular consumer good has a demand function given by: q =...

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Q: 1² + b² = 4) and (4 – a² – b² = c), and planes (a = 0), (b = 0), and (c = 4) bound a solid octant. W...

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Q: Problem 4 For the following exercises, for each pair of points, a. find the slope of the line passin...

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Q: 5. x and y are both functions of t. Given x=-2, y=1 and x'=-4. determine y' for the following equati...

A: Topic:- application of derivatives

Q: QI. Find the eigenvalues and the corresponding eigenvectors for the following 3x3 matrix. [1 0 -1] A...

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Q: Find the exact arc length of the curvex + 2) from y = 2 to y = 7. %3D

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Q: Explain how each graph is obtained from the graph of y = Fx). (a) y = fx) + 8 O Shift the graph 8 un...

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Q: y. -1+y- = Vy y+ - x=y x=-1

A: Given:- x=y, x=√y  To find:- Volume of solid form by given curves about line x=-1        

Q: 11n The polar form Z = 2V3 - 2i is Z = 4(cos+isin- true False

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Q: Suppose that the n-th Riemann sum (with n sub-intervals of equal length), for some function f(x) on ...

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Q: Evaluate the following integrals 2+5x dx エナメ

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Q: ) x1 + x2 + 2x3 = 8 -x1 – 2x2 + 3x3 = 1 3x1 – 7x2 + 4x3 = 10

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Q: 3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What...

A: There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. We have...

Q: 5. Calculate u (7,100) and u (14,100), given the following diffusion equation d'u D at 00, D = 0.98 ...

A: This question can be solved as shown in step2.

Q: The table describes four possible outcomes for 2017, depending on the level of aggregate demand in t...

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Q: Consider the following graph. 1 Determine whether the curve is the graph of a function of x. O Yes, ...

A: Vertical line test : If a vertical line is moved across the graph and the vertical line cut the grap...

Q: The first and sixth term of an arithmetic series are 3 and 33 respectively.The third term and the ei...

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Q: 2539 million m³ of water minus 65,4%

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Q: 2 |(2– læl) dæ . fınd the value of -2 unded to two decimal places.

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Q: Let G be the solid inside the sphere x2 + y2 + z² = 9 but outside the cylinder x² + y? = 1, bounded ...

A: Answer is mentioned below