1. Evaluate lim 818 x5 +999x4 + 453x² 3x5 + 13 Indicate the limit laws you use.

Q: Let the matrices and Find each of the following: Ay = and Bx = -4 27 A-441 -4 5 = 2t - [24] X = and…

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Q: Find the derivative of the function. f(x) = sin(x) cos(4- x²)

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Q: Please no written by hand solutions 13 x^(3)+4x-(x-6)^(2)-(7x^(2)+4) Which of the following…

A: Given polynomialf(x)= x³+4x-(x-6)² -(7x²+4)know that (a-b)²=a²+b²-2abnow by using this we…

Q: Directions: Find the instantaneous rate of change. Make sure to show all your steps. 1) 3x3, at x=2…

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Q: take the integral of 1/(1+tan^2(x))(sinx -1)

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Q: 2) Given the function below, determine the intervals on which the function appears to be increasing,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Given f(x, y) = 6x5 cos(y¹), find fxy (x, y) = fyy(x, y) =

A: given

Q: Consider the system Verify by hand that the vectors are solutions to this system. Then, find the…

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Q: 12- (-11)= Express your answer as an integer.

A: Let,  D=12-(-11)

Q: The position function of an object is given by s(t) = 2t³ – 3t² – 12t + 8, t ≥ 0 a) Find the…

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Q: Given that you have a fixed 40-meter-long meters long and fencing, the rectangular pen should be…

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Q: −|x\, x≤-5 h(x) = {20 − x², −53

A: Given dataA function,

Q: 2. The base of a solid S is an elliptic region with boundary curve 9x² + 4y² = 36. Cross-sections…

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Q: Find each of the following for the piecewise function: f(x) = f(-4)= 3 x² + 3 -2x + 4 x 2 f(-5) =

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Q: Evaluate the limit of the indeterminate quotient. 1²_1-12 lim 2-4 2-4 Number

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Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). u = , V = (a) u. V 27 (b) 306 (c) 306 (d) (e) u u ||u||²…

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Q: Find the normal vector to the tangent plane of z = 6eª²–2y at the point (4, 8, 6). ñ - (x, y, -1),…

A: given surface

Q: Find the solution of the differential equation (9 - 4xy²). dy dx = = y³ such that x = 1 when y = 5…

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Q: Please assist with the steps below  Find the derivative of the function by using the rules of…

A: Given, F(x)=rules of derivatives are

Q: Find the differential dy of the given function. y = 7x²5 dy =

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Q: If V is a vector in R³, then what can we say about the expression V.V.V?

A: Given that V is a vector.

Q: 1 Find the inverse function (on the given interval, if specified) and graph both f and f on the same…

A: The given function  for .The aim is to find the inverse function and sketch its graph.

Q: Find the value of k that makes the following differential equation exact. kr cos(90) dr - 4r²…

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Q: Suppose that f(x) = 1+5x. Consider the partition P of the interval [-2, 1] by means of the set of…

A: Given that :Equation of the function Interval is Set of partitions are To find : Reimann sumConcept…

Q: How does it take 10 years for 1/2 of the material to decay and 4.15 years for 3/4 of the material…

A: Given that a radioactive material decays at a rate which is proportional to the amount of…

Q: 1. Evaluate lim 818 2. Evaluate lim 818 +999x4+453x² 3x5 + 13 -7x³ + 8x² + 21x + 23 24+1 3. Evaluate…

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Q: Convert the point (x, y, z) = (-1, 5, -3) to spherical coordinates. Give answers as positive values,…

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Q: 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5.

A: We have to use this definition to find f'(x).

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

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Q: Rationalize the denominator of the following expression. Simplify your answer. √5 √5-√2 5+√/10 3 For…

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Q: Find the limit of the sequence {an} if it converges; otherwise indicate that it diverges, where 2.…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: The given function is

Q: Evaluate the limit sin 3x 8x lim x→0

A: given limit

Q: Values of x and g(x) are given in the table below. X 2.9 3.4 3.9 4.4 4.9 5.4 5.9 6.4 g(x) 3.6 4.6…

A: g'(x) =

Q: 2) Given the function f defined by f(x) = 7√9x²-1 a) Describe the symmetry of the graph off. Justify…

A: Explaination of the ans is as follows

Q: For the linear differential equation y' + 6xy = x¹e the integrating factor is: [ After multiplying…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: A lamina with constant density o(x, y) = 4 occupies the region under the curve y = sin(лx/5) from x…

A: As we knowThe given curve  from  to

Q: List the interval(s) on which f is increasing. The interval(s) on which f is increasing is/are (Type…

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Q: Find 7' (t), given r(t) = (cos(—2t), sin(−t), −2e¹¹). r' (t) =

A: we have to find the derivative.

Q: Consider the following. So 14 7 du = √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the limits…

A: Let

Q: Sketch a graph of a function g that satisfies all of the following conditions: a. limh(x) = h(-2) =…

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Q: 5. (a) Let f(x, y, z) = xe³-². Compute the gradient field F = Vƒ. (b) Let C be the coiled spring…

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Q: 9. Evaluate the integral by changing to spherical coordinates. вто St √2-x²-y² √√x²+y² xydzdydx

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Each derivative represents the first li Please state this original function, f(x f'(x) = lim h→0…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Please assist with the steps in finding the derivative of the function below.  H(x)=(3x+4)3 /…

A: We find the derivative of the following function H(x)=(3x+4)3(−3x−2)4

Q: Sketch the level curves of f(x, y) = y + 2x r² +3 at k = 0, 1 on a common Cartesian plane.

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Q: 3. Show that f (x) =x- cos x has at least one zero. Justify your answer.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 2. Find y' and y" for both of the following functions. a) y = ex sinx b) y = tan x

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