IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

Q: Which of the following point is the projection of the point (0,4, 2) on the yz-plane? Select one: O…

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Q: dx S. √√x

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Find the limit of the given equation at infinity

Q: The vectors u = (5, −4, 0) and v = (5, -4,0) and v = (−4, −5, 4) are orthogonal. Select one: O True…

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Q: Find the length of the curve for the interval 1 ≤ x ≤ 9 3 = √ √ √ ² ³ - 1 d dt 1 Select the correct…

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Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: Choose the angle (in radian) between the following two vectors u = and U = - O 2.059 00 O None of…

A: We know that the angle between two vectors u and v is θ = cos-1 u·vuv

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: This question is based on Compound interest formula.

Q: The function h is defined as follows. h(x) = x² +7x-18 x²-8x+7 Find h (4). Simplify your answer as…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: 1 - [5] and v₂ - [3]. = Let V₁ = [T(v₁)]B = ( be the matrix for T:R² R2 with respect to the basis B…

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Q: ● If a = 2j and b = 4k, then a b = 8. Select one: True False

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need to find center of mass.

Q: عندما r = 3 cm تكون : ع. 115 V فان قيمة ب. 110 dv dr اذا كان ar3 113 j

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Q: J sin²(x) cos(x) dx

A: We have to evaluate ∫sin2x cos2x dx.

Q: then find f(x). | f(x)dx = = ln([x]) In(x) - sec(x) - 4e + 2 -x + 6x + C

A: The integration of f(x) equal to the;  ln(|x|)-sec(x)/3 -4ex/4+x2/2 +6x +C.

Q: Evaluate limx→∞ 3x^2 - x - 2/ 5x^2+4x+1

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Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

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Q: 11. Use the comparison test to determine whether 8 k=1 2k 4k + 5 converges.

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Q: Q2: solve the differential equation x²y' = y² + xy + x² subjected to the condition y(1)=1 and give…

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

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Q: sec 3 x tan x (sec ³x sec³x secrx S see of secxu S u ли secx u du dx let a = tan x du = sec² x dx…

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Q: A) Find the value(s) of m so that the function y = ex is a solution of y" - 7y' +12y = 0. B) Find…

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Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: Question 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: 3. f- 8xdx

A: Solve the integration

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |ab|? Select one: O √9 O -√9 O…

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Q: 1. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: Q5: A- Find the mass of the region cut from the sphere x+y+z=a² by the cone z = √x² + y² if the

A: We have to find the mass of the region cut from the sphere by cone.

Q: Find an equation of the tangent line to the curve at the given point. y (4,16) (Express numbers in…

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Q: Instruction: Integrate

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Q: Let lim f(x)=9. Use the limit rules to find the following limit. X-8 lim √f(x) X-8

A: Given, limx→8f(x)=9

Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2<x<34for x≥3

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: H.W: Solve the differential equations: dy 1. +2y=ex dx dy 2.2-y=ex/2 dx

A: To solve the differential equation:

Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

A: The objective of the question is evaluate the indefinite integral.

Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

Q: 3.ƒ _(x−1)² dx √x

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Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.