Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: 2. (4x³-3)dx

A: Let's find.

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

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: 4. Find the antiderivative of 1-t4 = CS the t that satisfies the given condition R(1) = 4

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = In (x + 1), a = 7

A: The standard form of Taylor polynomial of degree 3 at a is given as: f(x)=∑n=0∞f(n)(a)n!x-an…

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: Solve the integral Sa 16 tani? 7+x²

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

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Q: Find all solutions in [0, 2π): 2 sin (x) - sin (2x) = 0: 4.8 00, π R/+ 4

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Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no…

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Q: y = 3x-2\4 4x-5

A: WE use the properties of logarithm to find the derivative

Q: X-Z The iterated integral J = g(x, y, z) dy dx dz is equivalent SS 0z0 to which of the following…

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Q: For what values of x does the series converge conditionally? Σ (-1)^(4x+7)" n=0 OA. x = -2 3 OB. X=…

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: - у = 3x-2 4x-5

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

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Q: Find the critical points of the function f(x) = 2²-25 x² + x - 30 Use a comma to separate multiple…

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Q: Below is the graph of a polynomial function with real coefficients . All local extrema of the…

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Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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Q: The linearization of the function f (x, y, z) = x³z² + xy2 + 3y - 10 at the point (-1, 1, 2) is…

A: L(x,y,z)=f(a,b,c)+fx(a,b,c)(x-a) +fy(a,b,c) (y-b) +fz(a,b,c)(z-c).

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: (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: ³√xy = 2x²y-8x

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Q: Ⓒ Given SS² +8 dy dx. Reverse the order of in tegration and evaluate. Draw the region.

A: In the given problem first we draw the region then reverse the order of integration and after that…

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

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Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

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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: construction company will be panalized each day of delay in construction for bridge. The penalty…

A: Given the query is to find the maximum possivle days for delaying.

Q: Perform the indicated operation if possible. If not possible, enter "DNE": 4 2 -51 0 -10 51 5 -4 -9…

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Q: Problem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that…

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Q: What two positive real numbers whose product is 22 have the smallest possible sum? The numbers are…

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Q: Let F = Vf and f = 2zy + 8xy + 6xz. Calculate F. dr for the path r₁ = (t,t,t), 0 ≤ t ≤ 1. (Give your…

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Q: Of all rectangles with a perimeter of 10, which one has the maximum area? (Give the dimensions.)

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Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

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Q: Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x²-16x + 2y - 18 (i) Find the sum of all x- coordinates of the…

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Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: St-1.0t vemos anoitasu) InemzeozeA B C E M N K JH G Identify each of the following in the figure…

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Q: Ⓒ'Evaluate Sot So Sox sing ²sin y dy dz dx tim of the

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Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: Find the laplace transform of ƒ (t) = 2t² + 4t – 5 OF (s) = 5s5+484+4s³ 86 OF (s) -58²-4s+4 83 OF…

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Q: What is the rate of change of distance between the top of the ladder and the ground?

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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: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given:

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: Write down the matrix A that represents the linear transformation ƒ : R² - (a) R² (i.e. so that f(x)…

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Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: Match each of the following parametric Equations with a plane curve : x(t) = 3 + 6sinh(t). y(t) = 2…

A: We are authorized to answer three subparts at a time, so we are answering the first three subparts,…