Let g(x)=3x²-6x-5 Find a. g (-2) | b. g(0) c. g(-3a)

Q: Solve the following pure-time differential equation with the given initial condition. X = dx - = sin…

A: Given differential equation

Q: b) Find all the values of a and b such that the plane and the line will always intersect at a single…

A: We have to sove part b and cPlease select text to grab.

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

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Q: Consider the function f(x,y) = 2 sin (4x-3y) and the point P(0.). a. Find the unit vectors that give…

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Q: 1. Solve for x. 5 4 2x + ²/2 = 7 - x. 9 3

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Q: Find the maximum value of ƒ(x, y) = x¹y³ for x, y ≥ 0 on the unit circle. fmax =

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Q: 5) Find the Maclaurin series for the function ex

A: Consider the given function .To find the Maclaurin series for the given function.

Q: (e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you…

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Q: For the function g whose graph is given, evaluate the following limits, if they exist. c. lim g(x)…

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Q: Discover all unit vectors that have an angle of T/3 with the positive section of the x-axis.

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°? Show how to…

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Q: u = 5i + 7j v=-2i - 11j Find: -5u + 2v

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Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Using the change of base formula, g,15=7 O log log (15) Oh (15) O ¹0 In (15) In(60)

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Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: Given, the graph of the function f(x). We have to select all the true statements about the…

Q: Evaluate the following indefinite integral. 3 -dx

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Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

A: Given

Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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Q: Given f(x, y) = 6x³ - 4xy² + 5y, find fzz(x, y) = fry(x, y) =

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Q: Given f(x, y): fz(2, 3) - fy(2, 3) = -4x¹ +5xy² + 2y³, find the following numerical values:

A: The given function is; f(x,y)=-4x4+5xy2+2y3Find fx(2,3) and fy(2,3).

Q: 4. An object moves horizontally from rest. Its position, s, in meters, after t seconds is given by:…

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Q: Determine if the improper integral converges and, if so, evaluate it. dx -2 (x+10) ³/2 Write F if…

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Q: Use the trigonometric substitution x = 2 tan(0) to evaluate the integral I ਪੰਜਾ dr.

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Q: For the function g whose graph is given, evaluate the following limits, if they exist. a. lim…

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Q: How is the product of a complex number and a real number represented on the coordinate plane? When 6…

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Q: Find the domain of each of the following functions: g(x, y, t) = 2t - 4√√x² - y² 2 ○ {(x, y, t) | x²…

A: Given the function is:g(x,y,t)=2t-4√(x2-y2)

Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

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Q: f(x)=x-5 x 1. f(5)= 2. lim (x-5) as x->5 = g(x)= x = f(x) 3. g(5)= ²-25 x-5 g(x) 4. lim g(x) as x->5…

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Q: f(x)=x-5 X 1. f(5)= :: f(x) 2. lim (x-5) as x->5 =

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y. The…

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Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

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Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

A: given

Q: 27. cos5 x sin³ x 3 si dx

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Q: 4. Which of the following statements are TRUE about how y=-4 arcsin a ( 3² (x+5)) + 6 I. Vertical…

A: We have to define the transformations required to get the given function from its parent…

Q: Use the graph off to state the value of each statement if it exists. y = f(x)

A: The function of f(x) is given.As per guidelines, At a time only three sub-parts of a question can be…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Write the following in exponential form: y = In(0.34) O 3.4⁰ = y O e = 0.34 O e³.4 = y O 3.4 = e

A: The given equation is; y=ln(0.34)Write in exponential form.

Q: Consider the following integral. Sketch its region of integration in the xy-plane. (a) Which graph…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Let f(x, y) = 3x² - 2x + 8y + 5y² - xy List the critical point: The critical point is a Select an…

A: We can find the critical point of the function .

Q: Compute the following two indefinite integrals showing ALL steps. Remember to include the constant…

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Q: :. Calculate the total amount of interest earned from this investment during the 4-year period.

A: The amount invested, P=$13000Interest rate, i=5%Compounded frequency, m=2 (semi-annually)

Q: Find the area bounded by the given curves. = 2x - x2, y = 2x - 4

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Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

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Q: 5. Let f(x) = [2-kx k+x with the value of f(1) to be determined. (a) Compute lim f(x) in terms of k.…

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

Q: 2. Which polar coordinate pairs label the same point? a. (-2, π/3) b. (2,-π/3) c. (r, 0) d. (r, 0 +…

A: We have to find the pair that labels the same point in polar coordinates.According to our guidelines…

Q: 3. Find the slope of the tangent to f(x)=x√√2x² + 17 at the point on the curve where x = -4.

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: Determine the following product. [2 -2 5 2] 3 H = [ 1 ]

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