Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration to estimate area between curve (y=2-x²) and (y=-x), with n=3

Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

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Q: Solve equation: 4 sin x + 3 cos x = 5

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Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: @)X = y² + 1₁ x = 0, y = -1 y = 2 The appropriate integrand to find the volume of the solid…

A: Solution is given below:

Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: The figure shows a region in the complex plane. Write an algebraic description of the shaded region.…

A: Given :Center : Z0=4+i

Q: Find the general solution of the following differential equation. y" + 12y' + 37y = 0 NOTE: Use C₁,…

A: We have to find the general solution of the differential equation y''+12y'+37y=0.

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: 1) Which of the points (x, y) does NOT lie on the unit circle? a) O P(0, -1) b) (-3/3, 3/3) R…

A: Given :Equation of unir circle : x2+y2=1

Q: Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces,…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

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Q: The first step in computing the area of regions using the limit definition is to write the given as…

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Q: Cursive

A: Please refer to the image below

Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: We have to check whether limit exists or not  And if exists then what is the value of the limit

Q: Use Newton's method to find solutions accurate to within 10-5 for the following problems. L et + 2+2…

A: As per bartleby guidelines we only give first question answers. Please repost for others.

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: O 2028 (51n 20) O 20…

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Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [1, 4]. Vertical…

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Q: Find the largest open interval where the function is changing as requested. 24) Increasing…

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Q: Find the slope of the line if it is defined. Through (-11,-5) and (-1,4) Select the correct choice…

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Q: For the initial-value problem: y = 1+2, 1st≤ 2, y(1) = 2, h = 0.25, the mesh points (t) can be…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f''(x) = Select…

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Q: Let R be the region bounded by a = y² and x = y + 2. Find the volume of the solid generated when R…

A: The given curves are: x=y2and x=y+2 Now find the point of intersection between the given curves.…

Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: Assume x and y are functions of t. Evaluate dy/dt. 12) x3+y3=9;- dx dt 13) xy + x = 12; dx dt = 4, x…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: I co cot-1 xdr

A: The given integral is cot-1x.

Q: Find the general solution of the following differential equation. 16y" + 40y' + 25y = 0 NOTE: Use c₁…

A: to find out the solution of the given differential equation.

Q: find the explicit solution of y' +xy = x√ y

A: This is a basic differential equation problem

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

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Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: The following differential equation (+1)² + 2²/ x2 dy x² has an order of 02 3 01 = sin x

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(1, 1) =

A: The given function is;  f(x,y)=ln(x+y-1).

Q: If u = 4j – 2k and v = 2ỉ − j + 7k, find ú.v. Select one: O √110 O-18 O √18 O 18

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Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

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