5x-4 (x²+4)(x+2) Evaluate S dx using Partial fractions.

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

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Q: Find the volume of the solid of revolution below. (1,1) 0.5 y = x³ 1 -0.5 X = X 0.5 1.5 2

A: Given: Apply the disk method to find he volume of the solid about the x-axis.…

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

A: The objective of the question is determine the area bounded by the given curves.

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: 1 6) m=1 [ n+1 7) fx.tan-2x.dx =

A: We have to solve a part 6 and 7.

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 2ky+k² = 0 and 2x…

A: The given graphs are x2-2kx-2ky+k2=0.....(1), 2x-2y+k=0.....(2). We have to find the area of the…

Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t².

A: Given: Now,        z=2xy-x2y2  =22tt2-2t2t22  =4t3-4t6

Q: Write the first five terms of the sequence, give the exact answer: +∞ {n+19)-1 Determine whether the…

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Q: 20. Which of the following is a direction vector for the plane with Cartesian equation 3x-2y-52+3-07…

A: Given problems:- 20. Which of the following is a direction vector for the plane with Cartesian…

Q: 6. The diagram below shows a regular hexagon. For each vector expression, write a single vector that…

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Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: 7. Evaluate a root using Muller's method from the function. Terminate if Es < 0.0055% f(x) = 0.5x4…

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Q: Prove that sech-¹(x) = In(¹+√¹-x²) X

A: Here we have to solve the inverse hyperbolic function.

Q: Find a function F(x) satisfying the given conditions. 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 3x² + 2;…

A: To find a function Fx satisfying the given conditions.1 F'x=2x; F1=22 F'x=3x2+2; F-3=-323…

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Using the Law of Sines to solve the triangle if ZA = 41°, ZC = 73°, b = 22 LB is degrees a = C =…

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Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: Q1: Sketch y = 2ln[√cosh (3x) - sinh(3x)] + 4x.

A: The objective of the question is sketch the given function.

Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: O Evaluate the following integral by using Odd and Cros² 5 ( ¹ ) d

A: We will solve the problem

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: 1 f(x) = -4x df(x)/dx = -4  answer C is right    2 cos(x) dcosx/dx = -sinx  answer B is right

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: 1) Write a differential equation that models this situation. Let V represent the volume (in gallons)…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next…

Q: 2 /// }} لال ملاملا

A: The given equation is;  y'''-y''-6y'=ex.

Q: Write an equation for a function that has a graph with the given characteristics. The shape of y=…

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Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people…

A: This question can be solved using the concept of vectors.

Q: Let the region be bounded by y=1/x, x=1, and the x-axis. Find the volume of the solid generated by…

A: Using application of integration

Q: // لاح - لا - لا -4

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Q: Graph all vertical and horizontal asymptotes of the rational function. f(x)= x²+2x-3 2x² +3

A: I have appended the formula used in the solution part of the question

Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: Find the cumulative density function for the given probability density function. k(x) = 0.8 -0.8x,…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given problem:- Evaluate the integral ∫√(x2+6x) dx

Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

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

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Q: For each function, determine whether it is a polynomial function. Function (a) v(x)=3x² +0.6x4 (b)…

A: polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2),…

Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: 71 6 5 4 3 2 71 -7 -6 -5 -4 3 -2 -1 1 2 3 4 5 6 7 -1 -2 -4 -5 -6 1-71 q Find the slope of the line.…

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Q: Q3. Find the cross product of the vectors and .

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Q: Given an acute angle Cosx=2/7, find the exact value of cos(x/2). (Use a half-angle formula)

A: As we know from the half angle formula; cosx2=±1+cosx2   Given; cosx=27

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: solution is given below