Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 17 between x = 2 and x = 4.

Q: What is wrong with the equation? -5 15 dx = -4 64 -2 f(x) = x-5 is not continuous at x = -2, so FTC2…

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Q: f(x)=x√ 36 = x² ntercepts (x, y) = (x, y) = (x, y) = elative minimum (x, y) = elative maximum (x, y)…

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Q: c) Period d) f(990°)

A: Given data÷

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Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: 47-48 Find equations of the tangent line and normal line to the curve at the given point. 47. y =…

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

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Q: rite down the ma TIX represe the linear that projects every vector in R³ orthogonally onto the…

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Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: Given the following acceleration function of an object moving along a line, find the position…

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

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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: 44. Find f(x) if f(x) = 1/(2 - x).

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Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: This question can be solved using the concept of maxima and minima.

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: f(Tn) f'(In). For the function f(x) = r- 2x 3. write Newton's formula as n 1 F(In) for solving f() =…

A: See the answer below

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

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Find the relative maximum and minimum values. f(x,y)=x² + y² + 12x - 2y Select the correct choice…

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Q: Evaluate the definite integral. 12 dx 25 + 2x 2

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Q: In order to solve with we first write and Setting to get sin 2xdx + cos 3ydy = 0 y(π/2) = π/3 cos…

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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: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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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: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Find the Taylor series generated by fat x = a. 1 f(x)=, a=9

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Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

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: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

Q: Select the representations that do not change the location of the point a. [-2.-357) D. (-2,-²5) b.…

A: -2, 7π5=-2cos7π5, -2sin7π5π+2π5=7π5=2 cos2π5, 2cos2π5  [FIRST Quadrant]A)-2 cos3π5,…

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

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Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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

A: Polar curve

Q: Consider the polar curves Cı :r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

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Q: n k=1 Note: Your answer should be in terms of n.

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

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: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 24x + 2…

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

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Q: x³+2x-1 (x²+9)² The partial fraction decomposition of has the form None of these Ax+B (x²+9)² A x²+9…

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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: Evaluate (1 + i)(¹ - i). (1

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Given problem:- Describe in word all transformations involved.   y = - 3sin(180°-4x ) + 5

Q: Solve [2*+2³ = 10 4* +4 = 68

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Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

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Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A: We are given a rectangular solid with square base whose surface area is 37.5cm2. We have to find…

Q: M8 M8 Με 4. Σ 15. Σ 6. Σ n=1 (n + 3)" 47² nt 1 – 5η4 (n + 3)" 4" η

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