Aus: J 5C -2X

Q: Integrating factors found by inspection: (xy³ +xy dx+(x²y² – 2 dy = 0 0 =

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: Sx sinh 2x dx

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Q: V4x°. lim 6 - x (d) x' +5 x² – 49 lim (e) Vx+2 -3

A: This question is based on Limits solving by analytical methods.

Q: (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work ...

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Q: Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z...

A: A The equation is x2+y2+z2-2x+2y+4z+6=0  x2+y2+z2-2x+2y+4z+6=0x2-2x+y2+2y+z2+4z=-6x2-2x+1+y2+2y+1+z2...

Q: Let a = ci + jand b = 7i + 35j. Find c so that a and b are orthogonal. C = i

A: Dot product of two vectors

Q: Let a = ci + jand b = 7i + 24j. Find c so that the angle between a and b is Round your answers to fo...

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Q: 4. Find the volume of the solid bounded above by the paraboloid z = 4 - x² – y?, inside the cylinder...

A: Yes you have done correct 

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x + 70...

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Q: ƏM 3. In the differential equation (y -x -4x–1dy+2y(x+ y+ 2)dx =0, 4. In the differential equation (...

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Q: Question 4 Find the points on the curve y = tan æ, where the 2 2 tangent is parallel to the line y 7...

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Q: Find the equation of the normal line to the graph of f(x) = 2" log2 x at the point where x = 1.

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Q: 10. у%3D V2x+1

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Q: 3. Evaluate the following INDEFINTE integrals. (a) / (b) / va dy y dy (c) dy

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:     ∑n=1∞1(n+1)!-n!=∑n=1∞1(n+1)n!-n!=∑n=1∞1n(n!)≤∑n=1∞12n And the above series converges.

Q: cos(0-4)–1 lim - (а) 20 -8 (10х-2)* lim (b) X0.2 10х -2

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as ...

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Q: differentiate y = (x2 -4) 1/2  / (x)2 + (1/2)[Arcsec(x/2)].

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Q: (-5t -21 (i) Find the domain of f (t). (ii) Find the values of A and B if the function is continuous...

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Q: OM 3. In the differential equation (y – x - 4x-1kdy + 2y(x+ y+2kdx = 0,

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Q: y(x) =x' (2x – r²)

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Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by x...

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Q: 2y(x² – y + x}&x + (x² –2y)dy = 0 2. Determination of integrating factors:

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Q: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

A: A function f has the form f(x) = Aekx. Find f if it is known that f(0) = 140 and f(1) = 210. (Hint: ...

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the produ...

A: To Find: R(x), C(x), P(x)

Q: 1 dx (х — 1)(х — 2)(х — 1) - -

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Q: a Let A = b be 2 x 2 matrix such that d 3A' +2 Find A. 1

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Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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Q: Sx³e**dx

A: Given,           ∫x3ex2dx

Q: Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radi...

A: We have to find angle between given vectors.

Q: NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (15...

A: w=(152229,-1229)=(15229458,-229229)

Q: (2y° + xy }tx + (x*y² – 2}ty = 0 Integrating factors found by inspection: %3D

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Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is min...

Q: () () Consider the following two series A = E n=1 and B = Which of the following statements is TRUE?...

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Q: ÔM In the differential equation (y² – x² – 4x–1dy+2y(x+y+2)dx= 0, ду

A: COMPARE THIS EQUATION TO STANDARD DIFFRENTIAL EQUATION.

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

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Q: 2. Determination of integrating factors: 2y(x² – y + x kdx + (x² – 2y kdy = 0

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Q: e 2. dx x3

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Q: 3. Evaluato S S (2x + y)dx dy. 14-1 1-gt %3D %3D ダー1 %3D 6. %3D %3D 3 3 1.3 = %3D %3D

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Q: (-x- 3 if x 2 A) -1 B) does not exist. C) 6 D) 00

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Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: If f : a, b] → Ris differentiable at a point c E (a, b), then f is continuous at c. True False

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Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: 4. lim sin2ß B-0 sin3ß

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Q: Find p, q if f,º f(x) dx – L f(x)dx = [" 5(x) dx. (Give your answers as whole or exact numbers.) p =

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

A: This question can be solved by applying the concept of maxima and minima.