The number of ants in Bob's kitchen increases at a rate that is proportional to the number of ants present each day. If there are 20 ants on day 0, and 60 ants on day how many ants will there be on day 14? Round to the nearest ant.

Q: 1. when the a value is a fraction between 0 and 1, then the graph is compressed true or false 2.…

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Q: 4. Express PQ-RQ+SR-PS+RS as a single vector.

A: Expression

Q: Consider the plane with a scalar equation 4x-2y+z-19=0. Find the point of intersection of this plane…

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Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

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Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Your answer is incorrect. Calculate the integral approximation Se for S₂ 75+1 dx. S6 = .01682

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Q: The velocity of a particle varies directly as the product of its position and time squared. The…

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Q: The demand functions for two products are given below. P1, P2, 91, and q2 are the prices (in…

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Q: Let g(x)=3x2-6x-5   Find   g (-2) g(0) g(-3a)

A: We are given the following function.Let g(x)=3x2-6x-5.We need to find the following.g (-2)g(0)g(-3a)

Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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Q: What is the domain of g(x,y)= 12 xy Select the correct choice below and fill in any answer boxes…

A: Given We need to find the domain of the function.

Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

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Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: Find the area under the graph of the function over the interval given. y = 2x - x²; [0, 2]

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Q: Compute the derivative of f(x) = e^x/ x^n for constant n using the specified methods: (a) The…

A: Use the product rules of the derivative is d/dx(uv)=u*(dv/dx)+v(du/dx) And quotient rulesd/dx…

Q: u = -9i+4j Find: -5u

A: u=-9i+4jFind -5u.

Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: Evaluate. Assume u > 0 when In u appears. 7 e3x e3x + 1 hrs dx

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Q: 4 For the function f(x,y,z) = 3 + xy² – 4z², find f, fy, and f₂

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Q: Find f(a), f(a+h), and the difference quotient _f(a + h) − f(a), where h‡ 0. h f(x) = 9x² + 8 f(a)…

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Q: Given the augmented matrix A = 1 2 -2 2 -2 5 -8 -17 H -2 4 perform each row operation in the order…

A: Given

Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: Solve the problem. A particle is released during an experiment. Its speed t minutes after release is…

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Q: What is the smallest value of the number n so that the graph of the following function have a…

A: f(x)= (-2x4+1)/(6xn-3x2-1)We have to find smallest value of n for f(x) has horizontal asymptotes

Q: Suppose that f(x, y) = x² + y²¹ — 2xy Then the minimum is

A: We need to find minimum of function.

Q: 5. Find the absolute maximum of f(x) = x¹e-77 on [0,4]

A: The given function is,

Q: Let f(x, y) x + 4y 2¹+4 I Evaluate f(0, 1)

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Q: Find all the second-order partial derivatives of the following function. w=xsin (6x²y)

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Q: The weekly demand function for video game consoles is given by p=d(x) = 650 - 4x² where x is the…

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Q: Find the limits. (a) lim -t 10 t-x 5 + e-t (b) lim 1-2et t-∞ 1 + 3et (c) lim

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 y-5 z+5 3 3 2 4 L 1…

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

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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: For the following system to be consistent, 3x-6y + 7z + kz - 3z 13x- Oy -2x-9y we must have, k ‡ = -…

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Q: Find an equation of the line tangent to the curve f(x) = e4x at the point (0, f(0)). x + 1 4x + 1 4e…

A: Put x=0

Q: Solve the differential equation with the given initial condition. dy sin x dx y+2' y = with y(0) = 3

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Q: for what value of the number k does the function f(x)= (1+kx+x^2)e^x have f'(0) =3

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Q: Which equation is the polar equivalent to the equation y = -√√3x? 0 = O 0 = Col 0 0 = 25 0 0 = 5T

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Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: 7) Find the Taylor series generated by fat x = 1 f(x) = 2x³ + x² + 3x - 8 8) Find the Taylor series…

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Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

Q: Determine whether W is a subspace of the vector space V. (Select all that apply.) W = {f: f(0) =…

A: Given that ;W = {f: f(0) = −1}, V = C[−1, 1] Let f, g W f(0) = -1 and g(0) = -1 Now, considering (f…

Q: 5. Find the equation of the tangent to the curve y = ex + x which is perpendicular to the line y =…

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Q: Find the slope of the line tangent to the curve y = 5ª³ at x = 1. 5 15 In 5 5 ln 5 O ln 5

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Q: Determine the value of h such that the matrix below is the augmented matrix of a linear system with…

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Q: 6. The function f(x) is defined by the graph. State the value of each: e) lim f(x) = x →4 f) lim…

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Q: 6. Find the limit or explain why it does not exist (and if it is too). √16x4+7x 8x² +5 (i) lim 818

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