4. For the relation explain the transformations, y-intercept, asymptote, domain/range, show at least 4 points on the graph using input/output to transfer the point from the parent function in order to graph y = (2) -x+2 1

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A: Solution:

Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

A:

Q: Hand written plz 2. Standardize the following LP model. max z = −3x₁ + 8x₂ - x3 + 12x4 - - 3x₁ +8x₂…

A: Given

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y =S₁ dx (x-1)².…

A:

Q: (x² - 12x + 9) dx (x²-3x + 2)²

A:

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A: Concept: We have a rectangular zone that measures 16miles and 12 miles Let the five buildings in the…

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A:

Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: es the following uation sutisfied Cauchy - Rieman. sequation 4 W = Z بیماری

A:

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

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A: Given problem:- Verify Property 2 of the definition of a probability density function over the given…

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A:

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A:

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A: Here are the solutions:

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A: We have to determine the value of initial amount

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A:

Q: e) y=sin(tanx) f) y = sin³ 7x

A:

Q: 4) √₂° e¯*dx = 5) S- dx = 4x+5 x²+x-2

A: Given, ∫2∞ e-xdxLet I=∫2∞ e-xdxI=e-x-12∞I=-1ex2∞I=-1e∞--1e2I=-1∞--1e2I=0--1e2I=1e2Therefore∫2∞…

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A:

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

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A:

Q: Use Newton's method to approximate a root of the equation 3x² + 7x² + 2 = 0 as follows. 1 Let x₁ = 3…

A:

Q: Q4) Find dy /dx for the following functions : a) y².cotx = [sin(x.y)]-¹ b) y = (In x + x) tan x

A:

Q: Determine the area, in square units, of the region bounded by f(x)=−7x3−4x2+2x−1 and…

A: To find the area bounded first find the intersection of f(x) and g(x)

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A:

Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

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A:

Q: Sketch by symmetries and translations with find domain and range of the following curve: y = 2 +…

A:

Q: generated by revolving the given plome area line uning the dirc method. (answers ore in cubic a.)…

A:

Q: 3 co ós co -6 -3 144 -4 Let y = ,V1= 5 -1 Compute the distance d from y to the subspace of R4…

A:

Q: 5. Evaluate f cos 3x sin² 3x dx

A: The given integral,        ∫cos 3xsin23xdx

Q: Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

A:

Q: Q6) Find the Area bounded by the curves y = √√√x and x = 2y - y² ,with sketch.

A: Let's find area between two given curves.

Q: Q2. Find the angle between the vectors and .

A:

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

A: Use double derivative concept

Q: find the area of the region bounded by the curve y = x^3 and the line y = 8 using   a. vertical…

A:

Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

A:

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A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: 4x+5 x2+x-2 5) 6) 2=1 +1 7) fx.tan-1x.dx dx =

A: To evaluate the given integral.

Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

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A: We have to use Gauss Jordan elimination

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A: topic- average value of function over interval

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: 1 1+6402 anges JP

A:

Q: 1 The area of a sector of a circle with a central angle of rad is 28 ft². Find the radius of the…

A:

Q: Identify the surface defined by the following equation. -2²-8²+²/2+ + 8x-6y=29 25 Select the correct…

A: Concept: Two Sheet Hyperboloid or Elliptic Hyperboloid : Hyperbolas or ellipses are geometric…

Q: b) what is the foci

A: Let's solve.

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A: This question is related to Functions, we will solve it using given information.

Q: Given that Y₁(t) = e 2¹ and Y₂(t) = e³ make up a fundamental set of solutions to y"+5y'+6y=0, find…

A: