for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are restrictions. . If there is more than one restriction,

Q: 13. Find the distance from the point (2, 2, 3) to the plane 2x+y + 2z = 4.

A:

Q: Evaluate the limit given below. lim 9ti+ 1²-16 1²-4t j+ k 2 (→ 4

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Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

A:

Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: Solve differential equation dy dx -(x²+y) x+siny

A:

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

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A: To find the distance between the two cars.

Q: 6 = √² (6x - x²) dx = We now have Area = 16

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A: Given

Q: Using the Inverse Function Theorem, what is (g-¹) (-2) given that g(x) -3x+2 = ? Note that x-8…

A:

Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Q: Using the Inverse Function Theorem, what is (1-1) (8) given that /(x)=√√61-2? Note that (11) = 8.…

A: find inverse function

Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

A:

Q: f(x) is continuous on (-∞0,00) and has critical numbers at x = a, b, c, and d. Use the sign chart…

A: As per the company guidelines We can first three parts only. Please understand. Kindly repost the…

Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

A:

Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: A line passes throughvthe points P(4,-3) and Q(6,2). Write the following equations of line. A) a…

Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: consider the function f, such that f(x) = (ax + 3) * e*. If the slope of the tangent line to the…

A: Topic = Derivative

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: = 14. Find the point(s) of the tangent to the curve h(x): as 48x + 2y = 11 *Round answers to 1…

A: The given curve is h(x)= x4/4-x3/3-5x2-8x+3 whose slope is same as 48x+2y=11

Q: At which value of x is the function whose graph is shown below differentiable? 8 N 4 -2 0 2 4 6 -8…

A:

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: Find the solution of the initial value problem y" — 2y' – 3y = 6te²t, y(0) = 1, y′(0) = 0. NOTE:…

A: We have to solve the given differential equation.

Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: 14 Determine which statement is true Every simple graph is a complete graph. Every complete graph is…

A: below is your correct option

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: d²y dx² - dy 4 + 7y=0 dx

A:

Q: π/2 B)Evaluate the integrals: i) f/2 sine rdrde, π/2 ii) f/25/2 sinxz² siny dz dy dx.

A: See the details solution in below

Q: ..suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the…

A: This question can be solved using the concept of component form of vectors.

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

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Q: ди 2²u Consider the heat equation = +2x, for a bar of length L=1, with non homogeneous boundary…

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Q: The graph of f is shown. 8 (b) 0 8 16 24 32 Evaluate each integral by interpreting it in terms of…

A: According to the guidelines in case of multipart question,  we are only allowed to solve first three…

Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

A:

Q: B)Convert r = √2 cos(8-) to cartesian.

A:

Q: Evaluate x/10 Than S 11√1+ cos 10x dx. 0

A: We know that integration of cosx is sinx +C . And trigonometry relation is - Cos2x = cos2x - sin2x =…

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: Find the general solutions of the system. 601 x' = 08 8 -4 x 01 4 x(t)=

A: The given system,x'=60108-4014x

Q: find f'(a) f(t) = 1/(t2+7)

A:

Q: B)Solve differential equation dx = -(x²+y) x+siny

A: