Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as: A) xdx B) x³dx C) x² dx D) ex dx

Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

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Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: HOMEWORK 16: Graph the following equations. x3 3. y = (x-5)(x+1) x²14x13

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

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Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: Let K/L be ideal of quotient ring R/L. If K is prime ideal and contains L, then K/L is prime ideal.…

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Q: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-

Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: Find ² of 2 = 2x³ - 5xy² z xy

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Q: 15. y=Arccos (x²)

A: The given function is: y=Arccosx2   As we know that: The Chain Rule: fgx'=f'gx·g'x The Power Law:…

Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: Choose the correct answer

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Q: 12. y = 3t 1+t³ X= 3t² 1+t³

A: We can find y' using chain rule as below.

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

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

Q: Question C.) - hit In n 231 n

A: We have to find the series coverges

Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: t, 15. y' + 3y = { ₁ 0, 0≤1≤2, t> 2 y (0) = 0

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Q: Given f(x,y) = ex cos y, Evaluate fx(2,0) A cos 2 B) sin 2 C) 0 D) e²

A: fx is the partial derivative w.r.t. x

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: Draw a picture to find ALL angles in 0 ≤ 0 < 2TT. 1 Ay mple: For tan(0) = = draw a circle. Label the…

A: Topic :-  trigonometry

Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

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Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

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Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

A: To find the general solution of the following 2nd order differential equation.y''+2y'+2y=0

Q: Suppose a population of fruit flies changes at a rate of g(t) = -3e0.01, in flies per day. If the…

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

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Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) = - g(x) 101 8- 2 0 -2 2 (a) Find p'(9). p'(9) =…

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Q: Which of the following is commutative with respect to addition? 8x3−y6=… Complete the following…

A: Which of the following is commutative with respect to addition? 8x3−y6=… Complete the following…

Q: Given f(x,y) = x²y-3xy³. Evaluate (A) 2x²-12x B (C) (D) -6y3+8y/3 14y-27y3 6 6x² - 45x 4 2 1 fdx

A: Topic = Integration

Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: π A region in the first quadrant is bounded by the curve y = 1+ sin²x, the coordinate axes and the…

A: Given problem:-

Q: Question 14 A 60-m climbing rope is hanging over the side of a tall cliff. How much work is…

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Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: blanks 1 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is...... 4. If = (-12,4,8) the…

A: ssolution given below

Q: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

Q: Which of the following integrals would best approximate the area of the region bounded by y2-x=0 and…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: answer the related questions. 7. ул y = G(x) 3 10 + N grap -2 -1 0 4 5 a) Find lim G(x). x-3+ b)…

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Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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