Evaluate x/4 0 x/4 S 3√/1+ cos 4x dx. 0 3√/1+ cos 4x dx =

Q: Write an equation for the function whose graph is described. the shape of  f(x) = |x|,  but shifted…

A: Need tp write down the equation of the function which is shifted five units to left and six units to…

Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-2x² r'(x) =

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 3…

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Q: Box your Final answer with a complete solution. Then Graph, emphasize the Limit. 2. lim I-3 √x²+7-3…

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Q: Find the partial traction decomposition of p(2) (2) p(a)=-5212+10511-490 10-1763 +5778 +230427+58852…

A: We have to find p(x)/q(x).

Q: 2x If F(x)= -1.2 = 3 In (1²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.)

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Q: Suppose that ƒ−¹(x) = g(x), ƒ(1) = 0, f'(0) = 2, and f'(1)=5. What is the value of g'(0)?

A: Given f-1x=gx,f1=0,f10=2,f11=5 The objective is to find the value of g10.

Q: A population, P(t) (in millions) in year t, increases exponentially. Suppose P(8) = 22 and P(15) =…

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Q: y = f(x) N.K. X -1- (a) lim [f(x) + g(x)] (b) lim [f(x) = g(x)] - (c) lim [f(x)g(x)] -1 y 1 y = g(x)

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Q: For what values of m_and_n_will µ = x¹y™ be an integrating factor for the differential equation (−4y…

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Q: Find da f 2log 2 In z O None of these O 20, 2 In 2 O2: In 2 O2 In 2 +C +C +C

A: Integration problem

Q: Match each function name with its equation. I I ≈ f(x) = ✰ f(x) = ✨ ƒ(x) = x² ≈ ✨ 1 X ✨ f(x) = ³√x…

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Q: Write the equation of the line tangent to the graph of the function at the indicated point. As a…

A: Given :y=1x3-x2x=2

Q: Find the profit function if cost and revenue are given by C(x) = 191 + 5.2x and R(x) = 3x -0.02x².…

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Q: Show by example that the following statement is wrong. The number L is the limit of f(x) as x…

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Q: Let F(x) = f(x7) and G(x) = (f(x))7. You also know that a6 = 5, ƒ(a) = 3, f'(a) = 2, f'(a¹) = 11.…

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Q: 2 √ūdu = ²√ūd 2² √ua Making the substitution u = =x2-1 in the integral 2 [₁² x √x² - 1 da [²√ Select…

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Q: The Graph below represents the velocity of a particle moving on a horizontal line on the interval…

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Q: Find the arclength of the curve r(t) = (10√√2t, e10t, e-10t), 0≤ t ≤<1

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Q: Find the speed at the given value of t: r(t) = (et-5, 12,5t-¹), t = 5 v(5) =

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Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (fog)(7)

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Q: Find the (perpendicular) distance from the line given by the parametric equations x(t) 2 - 7t y(t) -…

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Q: Transform the following equation of ellipse in standard for 7x²-10v² 56x +100y +278=0

A: 7x2-10y2-56x+100y+278=0 We have to convert into standard form. Lets first make a perfect square in x…

Q: nd the equation of the line L that passes throught point P( – 4, 8, 0) and Q( – 3, 5, — 8). = + t

A: We will find the required  vector equation  Of line.

Q: -1 Let f(x) = 8x³ – 15x² − 4, x ≥ 1.5. Find the value of at the point x = 2005 = f(7). df dx

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Q: The following exercise presents a problem similar to an exercise from the previous section of this…

A: Solution

Q: An airplane flies at an altitude of y = 4 miles toward a point directly over an observer (see…

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Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

A: Since, it is given that by cutting away an x-by-x square from each cornerof a rectangular piece of…

Q: dy For exercises 1, 2, and 3, find using implicit differentiation: dx 1. Prove (arccosx) = V d dx -1…

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Q: At what points is the function y = x+3 x²-11x+24 continuous? 1 Describe the set of x-values where…

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Q: For f(x) = 2x4 - 4x² + 6 find the following. (A) f'(x) (B) The slope of the graph of f at x = 2 (C)…

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Q: The area bounded by the curves x = 0, y = e and y = e can be expressed by the integral dx.

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Q: even periodic functions Example Consider a function f(x) with graph on the interval [0, 1]. Sketch…

A: Given the graph of f(x) on [0,1].  We have to draw graph of asked on [-3,3] a.) f(x) has period T =…

Q: None of these anwers were right

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Q: Evaluate the integral. 4u²-√u น du

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Q: Find f'(t) if f(t) = − 5t² + 6t + 1.

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Q: For what values of k will the system of equations have: refer to the data below and show complete…

A: A system of linear equations Ax=b has  (i) Unique solution if Rank of augmented matrix [A:b]=Rank of…

Q: -1 1 -e CD What is lim f(1)-f(x) if f(x) = ex? | x-1 X-1

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Q: 1. Consider two functions f and g whose graphs are shown below. -6-4-2 8 6 L 21 -2 2 18922 (a) Graph…

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Q: Given that lim f(x) = 4 X-1 (b) lim [g(x)]³ X-1 (c) lim x-1 find each limit, if it exists. (If an…

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Q: Evaluate the derivative of the function at the given point. Use a graphing utility to verify your…

A: To find derivative of function at given point

Q: Compute the length of the curve r(t) = (-4t, 5t — 9, —8t - 4) over the interval 0 ≤ t ≤ 5 L =

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Q: Find the parametric equation for the line where the planes 6x + 7y4z = 2 and 8y – 2z = 10 intersect.…

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Q: The values of A and B which make the differential equation (1 exact are: A = B e³y + 5 ln(5y)) dz +…

A: Ae3yx+5ln5ydx+6xe3y+Bxy+2dy=0 A differential equation Mdx+Ndy=0 called exact if ∂M∂y=∂N∂x and its…

Q: 3x² - y2 + 18x-2y-10=0 4x²-4y²-8x-8y-19 = 0

A: Given Equations:- 1. 3x2-y2+18x-2y-10=0 2. 4x2-4y2-8x-8y-19=0

Q: Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer…

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Q: Find the coordinates of points where the graph of f(x) = -x³ + 6x2 - 9x + 19 has horizontal…

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Q: 1. Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 B. lim…

A: 1. Given lim lnxx→0We know that lnx is unbounded and negative when x→0So  lim lnxx→0=-∞lim lnxx→0…

Q: Use implicit differentiation to find an equation of the tangent line to the curve -4x² + 1xy - 3y³ =…

A: This question can be solved using the concept of tangent and normals.

Q: 1/3 At what points is the function y = (3x - 2)¹ continuous? Describe the set of x-values where the…

A: We have to find continuous interval for the given function.