Identify the x-intercepts for: f(x) = x² + 5x+6

Q: Use closed interval method to find the absolute max and min values of f(x)= x/(x^2 +2) on the…

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of V. i i

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Q: An object's distance from a fixed point at t seconds can be represented by the function f(t) = 5t2…

A: Given function:- ft=5t2

Q: Compute the integral [31 f(x)dx, where the graph of f is the red curve given in the following…

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: sin Ꮎ cos2 0 -cos Ꮎ - 2 2. f . - dᎾ

A: #2 Given, ∫sin θcos2 θ-cos θ-2dθ

Q: Evaluate ff(3xy)dA, where R is the region bounded by y = 2x and y = x². R

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Q: J sin’rVcos ad

A: Here is the solution:

Q: Consider the following. u = (5,5), v = (4, 6) (a) Find the projection of u onto v. (b) Find the…

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Q: Determined from First Principles and use your result to find the slope of the tangent dx at x = 2…

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Q: Find the component form of the vector v in 2-space that has the length - ||v||=10 and makes the…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…

Q: Find u x v, v x u, and v x v. u = 6i + 9k v = 3i + 6j - 4k. (a) u xv (b) vxu (c) vxv

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Q: Sketch the given region of integration R and evaluate the integral over R using polar coordinates. 1…

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Q: 8. Find the equation of the line tangent to f(x) = (x² - 3)4 when x = 1. Write your answer in the…

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Q: Solve the following differential equations. sin x)dx 1. dy=[ytan x + +e²x

A: We can solve it as below.

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: 6. y = x2 (-2,4) УА О (1,6) (2,4) 3y=2x + 16 y=-2x+8 X

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Q: Find the component forms of v+w and v- w in 2-space, given that ㅠ ||v|| = 7, ||w|| = 3, v makes an…

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Q: Determine convergence or divergence by any method. (-1)"n √n² +6 Σ n=0 The series diverges, since…

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Q: Evaluate the function at the indicated values. (If an answer is undefined answer UNDEFINED.) 3 - x 3…

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Q: Replace the polar equation r= The equivalent Cartestian equation is y= Choose the correct graph…

A: Given: r=7sinθ-2cosθ

Q: Determine whether the improper integral given below converges or diverges, and clearly state your…

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Q: Calculate line integral 9 F-dr, where F(x, y) = (x² + y, 3x −y) and C is the positively oriented…

A: To calculate the line integral of the vector field F along the boundary curve C, we need to…

Q: -6 -5 -4 -3 № 10 8 4 2 -2 4 -8 -10+ 1 2 3/4 The function graphed above is: Concave up on the…

A: Solution below

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

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Q: The family of functions is solution of the equation C = -2x y = ce + e y + 2y = e. Find the constant…

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Q: Find the limit by rewriting the fraction first. xy-y-5x+5 X-1 lim (x,y)-(1,7) X#1 lim (x,y)→(1,7)…

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Q: t After a patient takes a medication the amount of drug in the bloodstream (in my per L) after +…

A: A=20e-0.35td dt(et)=et

Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.n=f(p) is average number of daily downloads as a function of…

Q: Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the…

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Q: Find the absolute maximum and absolute minimum values of f(x) = x³ – 6x² – 15x+9 on [−3,3], along…

A: The objective of the question is determine the absolute minimum and maximum of the question.

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: Consider the following series. n=1 lim n→∞ Using the Ratio Test, find the following limit. (If the…

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Q: Find exactly the vector oppositely directed to v = (6) and half the length of v. V i

A: v=6oppositely directed to v,(The angle between vectors with opposite direction is 180° and they are…

Q: Make a table of values that shows the function values of f(x)=x²-1 together with those of g(x)=3*…

A: f(x)=x2-1g(x)=3x

Q: Perform the stated operation on the vectors u = (1, 3, 5) and v = u-v = (i " (5, 0, - 4). M >

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Q: How can I inverse laplace transform? 3 10 (511)2(513)

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Q: АМАИ 4. In the system below, k is a constant and x and y are variables. For which value of k will…

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Q: Evaluate the line integral Vp dr for the following function p and oriented curve C (a) using a…

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Q: Find (s−1)′(−13) using the Inverse Function Theorem, given that s(x)=(−3x−1)/(−2x+9). Note that…

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Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: $ Let F= (y.x) and C be the circle of radius 5 centered at the origin oriented counterclockwise.…

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Q: r Given z(x, y) = ln (2x + y²), a(r, t) = and y(r, t) = √r + t. t Find Əz Ət дz - Ət = Evaluate…

A: Givenz(x,y)=ln(2x+y2)x(r,t)=rty(r,t)=r+t   We are required to find:∂z∂t and ∂z∂tat r=10 and t=-1

Q: Let u = i- 3j+5k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: We have to find the vector in given question.

Q: y-axis. find the area of the surface obtained by rotating the curve about the y = x², 0≤x≤ 2 y=x+1,…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6