. a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: The base of a three-dimensional figure is bound by the line y = x +2 on the interval [0, 4].…

A: Let's find.

Q: Find the average value of f(x) = over the interval [0, 1]. (3x2 + 3)² Enter the exact answer. fave

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Q: Express the integral in terms of the variable u, but do not evaluate it. 12x-11 dx; u = 12x – 11…

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Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy %3D 0

A: We have to solve the differential equations.

Q: 2. Given f'(x) =p find x-2)=" a) the values of all critical numbers b) intervals of increase and…

A:

Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with t variables…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

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Q: Bx Bんt2

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: 1. Two sides of a triangle are 15 and 20 ft long, respectively. a) How fast is the third side…

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Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (6, –5) + t(1,…

A: we can solve this as follows:

Q: 2. One ounce of cooked meat contains 7 grams of protein. If you are going to add Keto Chow into your…

A: Given information: 1 ounce of meat=7 gm of protein1 Keto diet=15% of total calorie required1 Keto…

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Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows:

Q: Solve the ff first order DE using integration method, by substitution, or bernoulli's equation. show…

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Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

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Q: 1. 4x°dx (2-x*) ° 6

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 1.Find intervals for…

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Q: A function f is defined by f(x)=x' – 3x² – 24x , where xeR. (i) Find the coordinates of the…

A: Given that fx=x3-3x2-24xi  stationary points occurs…

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

A: The multiplicity of the root is 2.  Hence, the curve will either remain on the one side of the…

Q: 2)Given :f ( x ) = 2x3-3x2-36x+14 Find the critical numbers.b)Find the relative (local) extrema.

A: Given,            fx=2x3-3x2-36x+14To find : a Find the critical numbers.                 b Find the…

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

A: Given : The line passes through (8,5) and is parallel to 9i-5j   To Find: Parametric equation of the…

Q: Calculate the velocity, speed, and acceleration of the given paths. (a) x(t) = (t sin(t), t cos(t),…

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Q: Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line…

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Q: How 3 Find the absulute maxine and minima far the funltion (4x-x)Cosy an the rectangular plate…

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Q: 3x+4x-2x+8 a) h(x)= b) g(x)= 5x" – 3x + 12x² +1 x*-16 HA HA VA VA SA SA 2x +7x-11 2-9 2x'-x + x-1 c)…

A: We have to use properties of asymptote to solve the problem

Q: sint dt de + 0 cos t – tan t

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Q: Cost 3x dх

A: The objective of the question is evaluate the indefinite integral.

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 a. Find all critical…

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Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

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Q: Evaluate the integral. xe dx NOTE: Enter the exact answer.

A: Find your answer below

Q: 3. Sketch the curve f(x) = x² +1

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Q: Use Newton's method to find the two real solutions of the equation x* - 2x° – x - 3

A: Solving Newton method

Q: b = 123,    c = 164,    ∠B = 40° ∠A1 = °      ∠A2 = ° ∠C1 = °      ∠C2 = ° a1 =        a2 =

A: To find out the remaining measures of the triangle.

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Vector lies in the same plane if their scalar triple product is zero

Q: 12x3 Find the power series for f(x) = in the form an. (1- x*) n=1 3 Hint: First, find the power…

A: Here we have to find the power series for            f(x) = 12x3/(1-x4)2