0 IN R(y)=3-(y² +1) =2-y² x=y²+1 (3, √2) (3,-√2) R(y) = 2 - y² x=y² + 1

Q: Find the orthogonal projection of y= 4 on W (10) Span

A: To Find : 0rthogonal projection of y=641 on W=Span-4-11 ,011

Q: 12 02u дудх + у; ди дх = 1

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Q: solve Bernouldis Equatio (x+1) = 2e"y لے arx + 1

A: We have to solve the differential equation.

Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

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Q: (D)in (√2-1) -Q3: fx cos x dx == (A)x sin x – co$ x +c (B)xcosx = sinx+c (C)xcosx+sinx+c (D)xsản x +…

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Q: V. Use Variation of Parameters to find a particular solution for y"-4y'-12y=te²t

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Q: Evaluate Σ/ n=0 pr+1 1 1 + x² dr.

A: Let's solve given summation integration.

Q: Find the general solution of the the second-order linear ODE 2y" - 5y3y = 0. Find the general…

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Q: Graph the curve r² = 4 cos 0

A: the required graph is difficult to draw by hand so  I have attached the picture  of  r2=4cosθ

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

A: We have to find the volume by rotation of given parabola about Y-axis.

Q: Show that lim n→∞ k = k

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Q: Let h be a continuous function over the interval [-10, 6] with derivative given by h' consisting of…

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Q: Use the midpoint of each subinter to the nearest hundredth e of each c to find the Riemann sum S,…

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Q: Find the derivative of the ff using Rules for Differentiating Algebraic Forms. Show your complete…

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Q: C. Find the solution of the following differential equations using Separation of Variables. dy 1.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: lim x-2 2 +12-4 x-2

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Q: he compound amount S, 1.e., the sum of the principal and all the interest earned after t ye

A: Topic:- application of algebra

Q: Let g be the function g(x)= g(x) = 0.387 g(x) = -10.372 g(x) = 0.0145 g(x) = -1.243 √x+1 x³ Applying…

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Q: 10. The Richter scale is commonly used to measure the intensity of an earthquake. The function f…

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Q: A vehicle travels in a straight line for t minutes with a velocity of v(t) = 42t−3t2  feet per…

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Q: Suppose DeAndre starts a company in which he incurs a fixed cost of $1,550 per month for the…

A: Given that the fixed cost is $1550 per month and the production costs are $38.50 per item. we have…

Q: Find the solution to the Initial Value Problem 4y" -10y' - 6y = 120 sin x, y(0) = 8, y'(0) = 2.

A: Given that: 4y" -10y' - 6y = 20sinx and y(0)=8 and y'(0)= 2 . We find the solution of this given…

Q: 2. The total profit (in dollars) from the sale of x calendars is given by, = 25x 0.3x² - 350 P(x)…

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Q: -7 and g(x) or (f(u)). Do not expand your answer. te the ful g(f(u)).

A: We will find the required.

Q: dy a) -2y=e³x, y(0) = 4 dx b) xy' +y = 3x², y(1) = 4

A: (a) given  differenial equation is dydx-2y=e3x      and   y(0)= 4 since it is linear differential…

Q: O y = 0 Oy-2=1/3(x-1) O Which of the following is an equation of the tangent line at (1, 2) of 4xy2…

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Q: 1. Given a circle with equation (x + 1)² + (y − 2)² = 8, find the a. Center b. Diameter 2. Find the…

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Q: 3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's…

A: Need to write down the value of A, the value of B, etc.

Q: Ot=2.5 Ot=4 = 5 Ot=6.5 Sonar data gives the position of wreckage, p, as a function of t, relative to…

A: Note : At sharp corner of curve differentiation is not defined

Q: Consider the function y = (-x - 27) √√x.

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Q: 8. 1 lim x1-x x →1

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Q: Find the derivative of the ff using Rules for Differentiating Algebraic Forms. Show your complete…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: This is question of application of integration  Here we have to find the volume of given using…

Q: Q1) Find the Taylor series expansion in powers of x for f(x) = xln( xln(+²).

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Write an equation of a sphere with center (0, 8, 0), and with the sphere tangent to the plane with…

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Q: Let y = 2(x – 3)2 – 6. Part A: Is the given relation a function? Is it one-to-one? Explain…

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Q: nd a second degree polynomial function f2(x) with the following three properties (1) = f'(1) and…

A: Topic:- function

Q: Q1: sinh 0 ****** DR 02: cosh-¹1 (A) e (A)O (B) 1 (C) 0 (D) *

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Q: solve y" - ay't ay when t=0. 11 = cost; y(t) = 1, y '(t) = 0

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Q: General Instruction: Find the derivative (y') of the following problem. Simplify and box your final…

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Q: Use the midpoint of each subinterval for the value of each ck to find the Riemann sum S5 for the…

A: Let's find Riemann sum S5 by using midpoint rule.

Q: 2. Write the series 2 + 4 + 6 + 8 + ... + 100 using sigma notation

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Q: Find the solutions of the DE d³y 4x³ +3 d2y dx2 +3 dy +y =o dx

A: The answer is given below:

Q: (5) Evaluate n=0 Jn n+1 1 dx. 1 + x²

A: Note : As per rule I need to solve only first question.

Q: a fundamental solution to the differential equation y'' + 5xy' + 5y = 0 about the ordinary point x =…

A: We will find the required.

Q: 7. Find an equation for the tangent plane and parametric equations for the normal line to the…

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Q: An antiquarian has just bought a cupboard at a price of €500. The sales value of the cupboard at…

A: here given that An antiquarian has just bought a cupboard at a price of €500 and The sales value of…

Q: 2. Suppose $2000 is invested at 3% compounded annually. a. Find the value of the investment after 5…

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Q: ^ Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (2, 3) and…

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Q: 1) Bolve the following a) DE 3 D²³ (D-1)²³ (D+1)y=0

A: first of all we find auxilary equation by putting D=m and y=1let m1,m2,m3.......are the roots of…