M(x,y)dx + N(x,y)dy is an exact differential when: M N В. M N C. IN M N D. E. None

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: 2. Given the points X(-3, -1, 5) and Y (4, 4, -9): A. Write the position vector OX in vector form:…

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Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

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Q: 3. f(x)== 4. f(x) = + 1

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Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

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Q: (yt + y)dy + ty dt = 0.

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Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

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Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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Q: Find the first three terms of the expansion (4 – 2x). 4°(1- 폴 + 쫄 +…) O b. 2°(1 + 꼭 + 플 + …) Oc…

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Q: A graph of y = f (x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: Graph of the function is given, we have to find its derivative graph

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Q: Find the solution of each inequality in the interval [0, 27z). (Enter your answers using interval…

A: In the interval: [0, 2π)a)sin(x)≥0.5first and second quadrant.x≥π6,…

Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

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Q: Which of the following functions f : R → R is injective? o f(x) = x²,x E R O f(x) = c, c E Ris a…

A: Solving

Q: Answer the following True or False. Let f(x)be a decreasing positive function. Then the right…

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Q: Differentiate exp(sec(x^2)

A: Given query is to find the derivative of the expression.

Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: (iii) Find a vector equation for the tangent line to the curve of intersection of the cylinder a² +…

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Q: How did he get the second derivative step by step and a clear line please 3 -X- Fex) = I+e sinu x…

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Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

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Q: The integral of the given function cos xdx is equal to а. 1 b. 2 С. -1 d. 3.1416 e. None of the…

A: We know that the integration of cosx is sinx then use the limit and calculate it. Option a is…

Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e*e = e*…

A: We have to find the values of x and y.

Q: 2. Determine the area of the region bounded by the curve y = x³ – x2 – 2x, and а. the x-axis b. the…

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Q: 1 (a) (i) How many 8-digit numbers can be formed with the digits 3,5 and 7? (ii) what fraction of…

A: Combination formula: The combination formula is used to determine the number of ways to pick items…

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A: Given query is to find the derivative and the equation of the tangent.

Q: Which Riemann sum represents the illustration shown?

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Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: I would like to ask how 00 became 1? I think it is undefined.

A: Given;  Limx-0+Sinxtanx.

Q: How did he get the second derivative step by step and a clear line please 9 -- F(x) = 1+e siny x…

A: To find out the second derivative.

Q: 2x lim

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Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

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