Find the slope of the graph of f(x) at the point where the graph crosses the r-axis. pe = Find the equation of the tangent line to the curve at this point. Find the equation of the line perpendicular to the tangent line at this point. (This is the nor

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

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Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

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A: Explanation of the answer is as follows

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

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A: This is a problem of antiderivative function. Based on the general formula we will answer the…

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

A: To solve the given first order differential equation.

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

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A: We are asked to find which is improper integral

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Q: 5) The solution of the volume of triple integrals r1-x 5-r dz dy dx is:- 30 A) 5 20 В) з С) 30

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Q: e*+e¯& =x² –2 lim sin² x–x² x→0

A: Given limx→0ex+e-x-x2-2sin2x-x2 If we put x=0, we get a solution of the form 00…

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Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

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A: 2.5cm corresponds to 1m.

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A: see below the answer and explanation

Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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A: Explanation of the answer is as follows

Q: 1. Evaluate the integral dx Jo x2 + 4x + 20

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Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

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A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Q: Given: -8 17 sine =

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Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: (b) Given -3x + P for x7 Determine the value of p if f(x) is continuous at x=7. TEST DMI123

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Q: dy #1. Use implicit differentiation to find for each of the following relations: dx x' +y' = 6 2.xy…

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Q: The graph shown is f(x) = x³ + 2. 5 4 3-21 1 2 3 4 5 What is the integral function that defines the…

A: The answer is in step 2.

Q: wes You are to construct an ofen rectangul 22 of material what dimensions will resultin

A: We are asked to find the dimension of the rectangular box.

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Q: Answer the following True or False: If f(r) is an antiderivative of v(x), then f(3x) is an…

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Q: 4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .

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Q: (k +3)! kk Consider the series ak k=1 a) What is ak+1? ak-1= ak+12 b) What is ak ak-1/a = ak+1 c)…

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A: Solution is given below:

Q: w³sec?xdx – (1 – 2w²tanx)dw = 0

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Q: 4. Given f(x)=x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

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