Let ā = (3, −7, 6) and b = (4, 4, 8). b) b) x (a + b) a

Q: The amount of domestic waste, W, in millions of metric tons, dumped in landfills dropped from 22.42…

A: given  22.42 in 2001 and  2.17 in 2019 standard form is W=mx+c(22.42,2001)  and (2.17,2019)

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Q: 1. Domain: [-4, ∞) Range: [-1, 2],{3} f(x)= √x, [-4, 0] -x², (0, 1] 3, (1, 00)

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Q: Which one of the following is equal to f³√3+2x¹ dx? O(3+2x¹)+c (3+2x¹)+c 40 10 O(3+2z¹) 40…

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Q: 28 0 Let 4-(23¹) and B-(32) A = What is AB? O (11 -2 -2 2 0 (²21) 0 (-11

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Q: 23. Determine the period of the following function. y = 3 sin 2(x + 90°) − 1 A. 180° B. 360° C. 720°…

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Q: 10. Find the points of any absolute extrema of f on the interval (-4,-1]. x³ + 8x² + 19x + 12 x +4…

A: Given :fx=x3+8x2+19x+12x+4(-4, -1]

Q: Find the critical numbers of the function f(x) = -3x5 + 15x4 +25x³ +5 and classify them. Round your…

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Q: 9) The cartesian equation for the line ratne-2rcos - 1 is a) 2y-x-1 c) y=2x-1 d) None of the above

A: we need to write down the Cartesian equation for the given polar equation.

Q: (b) (-1,√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2. -T (r, 0) =…

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Q: Given the higher order non-homogeneous differential equation y" — 5y' + 4y = 8ex Solve using…

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Q: (a) Find the domain, range, and inverse f of the function and f(x) Determine the domain and range of…

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Q: Which one of the following matrices is NOT in reduced echelon form? o [10 00 -17 0 0100 0001 1 Lo 0…

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Q: Use the given information to answer the following questions. center (4, -12, 8), radius 10 (a) Find…

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Q: Determine the infinite limit. x + 4 lim X-5+ X-5 00 O-0⁰

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Q: Find the limit. 6 lim x−8 5x +7

A: The given limit is limx→865x+7. We have to find the given limit.

Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(X) √√2 +…

A: given  H(x)=2+x5(f∘g∘h)(x)=f(g(h(x)))

Q: Q11. The DE (xy² + x − 2y + 3)dx − x²ydy = 2(x + y)dy, y(1) = 1 when express in terms of Mdx + Ndy =…

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Q: (x-1) (x-2)(2x-5) Which values of x need to be excluded (because they make the expression…

A: Function is undefine when denominator is zero.

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Q: Find the volume of the parallelepiped determined by the vect č = (2,3,1). Volume = cubic-units

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Q: A company rents cars at $35 a day and 18 cents a mile. A second rental company's cars are $45 a day…

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Q: Consider the function f(x) Find the critical numbers. = -2x³ +36x² - 210x + 10. Find the interval(s)…

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Q: f(x): sin x 1 - cos x

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Q: The alternating series En=o(-1)" +2 1 en+2 a) Converges b) Diverges c) None of the above

A: Given series: ∑n=0∞-1n1en+2

Q: (a) Find the sum of the series k=1 3k+1 22k Simplify your answer.

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Q: Find the Inverse y = ln 4x

A: given  y=ln4xsteps for finding inverse (1)  swape x and y (2)  find the value of y (3) invese=y

Q: 6) f(x) = x(x-3)

A: The function is  f(x)=x(x-3)

Q: 9) If cose = =, find the exact value of tan²0.

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Q: Q4. The integrating factor I. F. in Q1 i.e. y' = 1 + 3y tan x is a) -3 tan x O Option 1 c) cos³x…

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Q: Q4). Using appropriate substitution integrate [ πx√1 + x² dx.

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Q: (a) If lim X-3 (b) If lim X-3 f(x)-5 X-3 f(x)-5 X-3 2, find lim f(x). X-3 = 4, find lim f(x). X-3

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Q: Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 12…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: about the y-axis. Volume: 0

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Q: Let f(x) = (x-8)(x + 5) (11x + 8)(8-x)

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Q: (a) Evaluate the definite integral (b) Evaluate the improper integral Jo r cos a dr. S 1 r(In x)²…

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Q: The height of a tower is 50 ft and the height of a building is 30 ft.   If the angle of depression…

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Q: Let sec(0) 7 2 Determine the exact value of cot (0). cot (0) = and sin(0) < 0.

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Q: When you add vectors geometrically: a. vectors are aligned tail to tail

A: Let, AB→ and CD→ are two vectors.

Q: Q20:4 Q21: √8- (A)4G) (B) 4) (A) 0 (B) 1 (C) 4) (C) I (D) (D)

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Q: Q21: √8 ***** - (A)4) G (B) 40 (C) 4G) (D) 4) *****

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Q: What is the rate of change of the function whose graph is a line passing through (3, -15) and (-1,…

A: TOPIC :- Geometry

Q: What is the average rate of change (slope) on the interval [1, 2] for the function f(x) = 2x³ - 6x…

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Q: 4) Which of the following series converges: 2) Σ=1 b) Σ c) En=1 nin d) None of the above

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Q: Q2:The series 1 1 x(k+1) is: (A) divergent (B) converges to 1(C) converges to (D) converges to 0

A: Given : ∑k=1∞1kk+1 To find : Whether the series converges or diverges , if converges find the value.

Q: Find the equation of the tangent line to the graph of the function f(x) = (x² + 9) (x − 3) at the…

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Q: Given h (x) = 4x^3 + px^2 – 15x + 3, find a value for p so h (x) has an inflection point at x = 4. p…

A: INTRODUCTION On a curve, an inflection point is when its concavity changes, (i.e., a shift in the…

Q: The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to…

A: Given the function f graphed is defibed by a polynomial expression of degree 4

Q: If (f • g) (+₂) = O x-2 2x-4 x+5 and f(x) = 32, find g(x). x-2'

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Q: SELF-STUDY QUESTIONS 1. (a) If f(x) = 3x² - 4x + 2, find f (0), f(2), f(-1) (b) (c) If f(x) = 4x² +…

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