Question Evaluate 2x²y³ when x = 1 3 and y 1 4

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: If f(x) 4x + 2 3x + 3 find:

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Q: v=(√2x-4)G

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Q: Let 8(t) = 8+³ + 36t² + 48t be the equation of motion for a particle. Find a function for the…

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Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

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Q: A = 2001 810 -536

A: We know that if det(A) =0 then matrix A is not invertible, Given A=200810-536

Q: Given f (x) below, select ALL of the true statements. lim-4+ f (x) = 1 lim, 4 f (x) = 1 lim,-4-f(x)…

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Q: If g(x) = sin(x) then g'(x) = = g'(5) =

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Q: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: The count in a bacteria culture was 100 after 20 minutes and 1600 after 35 minutes. Assuming the…

A: The growth of bacteria is given as , ft=cekt Growth rate (k)=?

Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: P use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: Let's solve using Lagrange interpolation formula.

Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

A: Topic- Exponential growth model  we are given points of a exponential function as h(1)=11.8…

Q: The marginal revenue from selling x cameras is 95 -0.2x dollars per camera. Find the revenue…

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Q: 2. (3D — 1)y = 6e³x

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter…

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

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Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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Q: Approximate | b sintax) dx bs c√x 0 using the first four terms of the series if a = 5, b = 11, c =…

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Q: 2√x 1. y = 5√x 2. y = e²x+lnx

A: Basic identities of derivative are used after some manipulations.

Q: 1 lim - sin(x) Evaluate *→0 x

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Q: ind a value of h for which 3.0 2.5 h = o in y 2.0 1.5 1.0+ 0.5 f(2+h)-f(2) h 0.5 1.0 Give your…

A: Given Graph:-

Q: 20605 divided by 5

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Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: Check the fundamental theorem for gradients using the function T = 5sz (2+ sin²4) Pick as your path…

A: The given scalar valued function is Ts,ϕ, z=5sz2+sin2 ϕ. According to the Fundamental Theorem for…

Q: Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x-a x→a lim 2f(x) + 5g(x) x→a

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Q: 5π Find the equation of the tangents to the curve y = sin x at x = 0, +, and 2 their tangents. Label…

A: To find the equation of the tangent.   y = sin x at x = - pi .  To find the tangency point.   y =…

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: a. Use the definition mtan lim x→a f(x)= b. Determine an equation of the tangent line at P. c. Plot…

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Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: Express the domain for each function using inequality notatation. Enter "DNE" for the empty set and…

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Q: If p is the current frequency of the resistance gene in a model for the spread of drug resistance,…

A: We need to find the value of  limp ->19p2-2pp2-2

Q: If lim 2 f(x) = L and lim 8(x) x-a x-a 4 =0, Calculate f(x)+x² g(x)+a lim: x-a

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Q: ← Find f'(t) if f(t) = -4t² +9t+3. f'(t) = K

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Q: Which of the following is NOT a part of Quantitative Analysis?   a. Logic b. Weather c. Historic…

A: a. Logic - Logic is an analytical philosophy. b. Weather - Weather is a quantitative analysis…

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: Which of the following is an equation of the tangent line to the graph h(x)=- Oy-3--1(x-3) Oy - 1/2…

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Q: Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Evaluate_lim_ (√√9x² − 5x +1 + 3x 3x). -

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Q: Solve the problem. The amount A (in g) remaining of a radioactive substance after time t (in years)…

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Q: 3 2 1 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic notation and fractions where needed. Enter…

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Q: If f(x) = x¹ +3, g(x) = x-5 and h(x) = √√, then f(g(h(x)))=

A: Please see the below picture for detailed solution.

Q: Evaluate lim x−2+ 2x + x x² + x - 2 2x + x→-2- x² + x and lim T X 2

A: limx→-2+2x+2-xx2+x-2 -2+ means just after -2 like x=-1.99999…

Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: Find the limit of the following:  a) lim x→∞ (sin2x / x2) b) lim x→∞ (x - √x) *please do in hand…

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Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: Need to be solved correclty by hand solution

A: Concept used: Calculate the work done in the process of moving the particle under gravitational…

Q: If f(x) 2 x2 find f'(5).

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Q: Find y" for 18 = 4x² +9y² and simplify.

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