2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

Q: Suppose that the spread of a flu virus on a college campus is modeled by the function 1000 y(t) = %3...

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Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: Construct a truth table to show that (pnq) → p is a tautology.

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Q: nd the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, en...

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: Find the area of the region between the curves

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Q: It takes  18 hours for 12 people to plant  4 hectares of rice field. In how many hours could 9 peopl...

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Q: 3. Consider the function f(x) whose graph is shown below. Determine the following: a. lim f(r) b. li...

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Q: Prove VZEC, V2|z|>|Re z| +|Im z| + |Im z| Vze C,

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Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y4...

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Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: -1) п — 1 n n n=2

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Q: D. Coefficients linear in two variables 6. (3x – y + 2) dx + (9x – 3y + 1)dy = 0

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Q: Question 4: Sketch the triangle ABC with vertices A(4, -4); B(2, 1); and C(-1, 3) and its image unde...

A:     y = mx          m = 33Where, m = tanαorα  = tan-1mα  = tan-133α  = 30°

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools fro...

A: As per the guidelines I can solve only first question 

Q: Consider the integral 5x dx. (a) Which of the following statements best describe the given integral?...

A: The given improper integral is: ∫-∞-1xe5xdx

Q: Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x²...

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Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions specif...

Q: 4 sin (2x) dx cos (2x)t4

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Q: Find the vectoy with the given magnitude and the same direction as u Magnitude Direction ||v|| = 4 u...

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Q: (2у — Зx)dx + xdy 3D 0

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Q: TT 2 Cos3 0, cos³ xdx хах

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Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: Write the first three terms of the sequence. 3n - 2 n2 +2 The first three terms are a1 ,a2 = and a3 ...

A: Given ,an=3n-2n2+2Put n=1a1=3(1)-2(1)2+2a1=3-21+2a1=13,Put n=2,a2=3(2)-2(2)2+2a2=6-24+2a2=46,a2=23,a...

Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

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Q: The total world population is forecast to be P(t) = 0.0008t3 - 0.0714t2 + 0.81t + 6.04 (0 sts 10) in...

A: The population is given by P(t) = 0.0008t³ - 0.0714t² + 0.81t + 6.04

Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten centime...

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height...

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to...

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides av wall?...

A: length of ladder l=13 ft Let x be the horizontal distance from the wall to the bottom of the ladder....

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

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Q: 1 Scos 3x sin* 3x dx 1.

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Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2– 3x². h O -3x -6x O 6x O None of these

A: The given function f(x)=2-3x2

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

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Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .             ...

Q: Find the area of the triangle with vertices P(1, 5, –3), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the e...

A: use the cross product and determinant  for solving the area.

Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are g...

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Q: 2 lim (x + 1) - (х* + ) x → 0

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Q: 2(-1)". п — 1 n n=2

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Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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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: 1) Write an expression for the corresponding wave moving with a speed of 2 m/s in the increasing x d...

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Q: у%3D 2х — х", у%3D 2х — 4х -

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Q: e. z = In z,ze f. z z = logz, 2, Zd Zh

A: Please see the answer below.

Q: Solve y" – 2y' + y = 0; y(1) = y'(1) = 0

A: To solve the given differential equation.