a²z a²z Determine + Ər² მ02 if_z = tan-¹ Ө - r + r r²+0²

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √((x-x) (y -…

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Q: Find the number of distinguishable permutations of the letters in each word below. (a) tilted (b)…

A: This is a problem related to permutation and combination. Based on the general formula we will…

Q: 4 2 + Find the area of the portion of the Sphere x² + y² +2²= 9 between the planes Z=1 and 2 = 0.…

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Q: Problem 3. Solve [2*+2³ = 10 4* +4" = 68

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Q: A company determines that its demand function is given by p(q) = -0.6q+1190 and that its cost…

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Q: A street light is at the top of a pole that has a height of 15 ft. A woman 5 ft tall walks away from…

A: Consider a function y = f(x) .Then f '(x) is the rate of change of y with respect to x.

Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

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Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…

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Q: x³Væ² + 1 dx

A: Solve the integration

Q: Calculate[r₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt the product directly and then…

A: r1=9ti+3t2j+8t3kr2=t4k

Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

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Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: Create Representations to Communicate Math find the total surface area of each prism. 1. 2. 6 f 29…

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Q: The population of a city is 125,000. If the population is declining by 3% per year, what will the…

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Q: Consider the vectors. (-6, 2), (8, 1) (a) Find the dot product of the two vectors. -46 (b) Find the…

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Q: ſ(2x+5)dx Use geometry to evaluate

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Q: Consider a triangle where A = 30°, a = 1.3 cm, and b = 1.3 cm. a b B A (Note that the triangle shown…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: ef. F. F. dr. F(x, y) = 9xi + 4yj C: r(t) = ti + √4-t²4j, -2 ≤ t ≤ 2 Evaluate

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

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Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: (x, y) is equal [where we set It is known that the area of a polygon with vertices (x1.₁), (x2.2).…

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Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Consider the vectors. (5, -8), (-4,1) (a) Find the dot product of the two vectors. -28 (b) Find the…

A: Given problem:- Consider the vectors.   <5, -8>, <-4,1>   (a) Find the dot product of…

Q: The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of…

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Q: [ID # ending in 4 or 7] 2 Əv Determine ( + ду 2²v ах ду if v csch y = ex².

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Q: Problem 2. Do both parts. 8 Part (a) Find the sum: 12 4 + +· 3 9 27 81 Part (b) Solve the equation…

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Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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Q: Let f(x, y) = 6x cos (y). Find the conservative vector field F, which is the gradient of f. (Give…

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Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: Let f(x) = 3x² - 9x + 11 The slope of the tangent line to the graph of f(x) at the point (2,5) is…

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Q: If A =27+7-, B =-T+27-4k, and A +B +C =27+7+ 2k, what is C? 7.

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Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

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Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: Find the sum of the first 125 positive even whole numbers.

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: A)P(x)=R(x)-C(x)       =5x -(0.003x2+1.4x+60)P(x)=3.6x-0.003 x2-60b)R(50)=5(50)…

Q: Consider the following revenue function, where ? is measured in dollars. R(x)=110x-0.1x^2 a. Use…

A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: You are given the following graph of the function f(x): 4 1.0 -5 #1 -10 Find the point where the…

A: Given question:- Find the point where the second derivative changes sign from negative to positive.

Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Solve the integral below using integration by part. [(2x - 3) 3) e* dx

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Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y…

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Q: bus For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 f(x) = √3x²-1 7x+3…

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Q: Activity 2: Solve each function below the letters and decode the unknown word in each number. Once…

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Q: Determine if the following series converges. If the series converges, determine if it converges…

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