Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3 C = 0 l-1 1-3] 2 6 2 1

Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with…

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

Q: 4. A one-way road has an overpass in the form of a semi-ellipse, 15 feet high at the center, 40 feet…

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Q: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…

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Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

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Q: the displacement is correct, but the distance is wrong

A: The velocity function is v(t)=-t2+6t-8 on the interval -3,5

Q: Note: Attempt All Questions Q1/ Answer the following: √4x5 2 16 45 A. Find the shortest distance…

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Q: Find both first partial derivatives. z=(4 xy)/(x^2+y^2) fx(x,y)= fy(x,y)=

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Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: Using the Factor Theorem, which of the following is a factor of the polynomial function f(x) = 5x² +…

A: Given polynomial function is f(x)=5x3+5x2-60x

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1…

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Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

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Q: 1. Suppose that C is the top-half of the circle (x-a)² + y² = a², (a > 0) oriented in the…

A: Please see the below picture for detailed solution.

Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

Q: 리 The amount of time in seconds, f, it takes for a bungee jumper to free fall is given by the…

A: The amount of time in seconds, t, it takes for a bungee jumper to freefall is given by the function…

Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: Find the point (if it exists) at which the following plane and curve intersect. z = 19; r(t) = (t,…

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Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: 1. Given the space curve r(t) = (2e¹,e²¹.e^¹), find the curvature at t = 0

A: I am attaching image so that you understand each and every step.

Q: Find the average rate of change of the function f(x) = x² + 3x from x₁ = 2 to x₂ = 4. The average…

A: The function f(x)=x2+3x from x1=2 to x2=4

Q: 1.4 Assuming that C₁ Cos (wot) and C₂ Sin (wot) in 1.2 are two independent solutions of the SHO…

A: It is given that C1 Cos( W0t) and C2 Sin(W0t) are two independent solution of the SHO differential…

Q: (4) fxe-x dx

A: We solve this integral using integration by parts method .

Q: A circular swimming pool has a diameter of 16 ft, the sides are 6 ft high, and the depth of the…

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Q: 3 여 x 3

A: Given: 121-111231X=0-21

Q: You have a moment vector, M = [ 219.2 i + 270.5 j + 211.9 k] lb*ft and unit vector, u = 0.4286…

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Q: Q2: Solve the following integrals: (1) f 7x²+14x+15 (x²+3)(x+7) dx ; (2) f sin x+cos x dx sin³ x…

A: We will use partial fraction to solve the first part of the question.

Q: Find local maximum local mainimum Critical points Increasing decreaing interval

A: The solution is given below

Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: At least one of the answers above is NOT correct. where a 9 and b = 7 1³h 10x² - [ 1(a) dx = f* f(x)…

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Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

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Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: t) The volume of the solid obtained by rotating the region enclosed by y = 12x - 4x², y=0 bout the…

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Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞ x / √x^2+x+1

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Q: 6. f(8x³ - 6x² + 12x −9)dx

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Q: [ 81e-9 sin 9xdx

A: Please see the below picture for detailed solution.

Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: Solution

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: 2 Find the average rate of change of the function f(x) = x² + 7x from x₁ = 4 to x₂ = 5. The average…

A: Use average rate formula

Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: y = x5 y =1  find V = ?   V = π∫(f(x))2dx here we have to find limit of x  here first quadrant given…

Q: 15,0-20³²4 2. 3. चं 5. T cos 2x dx sin(³) cos²( :-) / dx 2x - 1 4x dx dx 6. 7. [² (x² + 0²³) dx (x -…

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Q: xdx x²+6x+18 7. f cos(lnx)dx 8. fest sin(at) dt 6. f

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Q: Find all critical points of the following function. f(x,y) = 10x²-5y²

A: Please see the below picture for detailed solution.