x sin x lim x-0 1- cos x

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 7x-7y-2z,…

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Q: Sxcos 4x dx

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Q: A car starts driving at noon (t = 0) and drives at exactly 50 miles per hour until 4pm (t = 4).

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Q: The three-digit number 2A4 is added to 329 and gives 5B3. If 5B3 is divisible by 3, what is the…

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Q: f(x,y) = In 19x²-x²y²+19y² x² + y²

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Q: a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 s4us 8, 1…

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Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

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Q: X 1/4 - 1/4 g(x) g'(x) f(x) f'(x) 3 -1/2 -2 1 7 2 1 3

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Q: 47. y = -2 48. y = 8 In Exercises 49-56, use the most convenient method (Disk or She Method) to find…

A: By using the most convenient method (Disk or Shell Method) to find the the given volume of…

Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 4 + 3x3,…

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Q: 15-28 Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and…

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Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

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Q: (a) arcsin sin RIT 4 3π 4 (b) cos 2 sin in-¹ (1-5-)) 17

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Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

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Q: Find the critical point of the function f(x, y) = 6 -3x+4x² - 5y - 4y² 7800 5000 8 This critical…

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Q: Determine whether the series n=0 4 √19 A. The series diverges because lim n-∞ B. Select the correct…

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Q: Use the information listed below to solve parts a through h. CITE Suppose that the demand and price…

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Q: 7 x 3 - 20 (a) lim (b) lim F1IX +5² +1 (c) lim F1I8 2+7 3x + 5

A: (a) (b) (c)

Q: 5-6 Sketch the area represented by g(x). Then find g'(x) in two ways: (a) by using Part 1 of the…

A: Sketch the area represented by g(x) . Then find g'(x) intwo ways: (a) by using Part 1 of the…

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: Topic : limits and continuity

Q: Solve for differential equations undetermined coefficients, please step by step to analyce dont skip…

A: We need to find equation of motion.

Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: Find h(x, y) = g(f(x, y)). h(x, y) = g(t) = t + In(t), f(x, y) = 4-xy 5+x²y² +In 4 - xy 5 + x²y² X…

A: Given: To Find: To find .To find the set of points at which  is continuous.

Q: 11. a) By solving some equations with some unknowns, determine whether it is possible to write [5,…

A: To determine whether it is possible to write the vector [5, -10, 1] as a linear combination of [4,…

Q: How would you express the equation of a sphere with a center at the origin (0, 0, 0) and a radius of…

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Q: A school's Phys Ed department is selling activewear to raise money for new equipment. They are…

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Q: (10) Find the derivative by taking In (natural log) of both side of the function. y = [(cos x)*]x²

A: To find the derivative by taking  (natural log) of both the side of the function.Note: Since the…

Q: Suppose that f(x, y) = 2x² + 2y² - 2xy Then the minimum is

A: Given the function is:f(x,y)=2x4+2y4-2xy

Q: Find flax and afləy. f(x,y) = 4x³y at

A: Given Function

Q: Evaluate O A. O B. O O D. dw dt -2² (²) 2(127) I -2 at t= 2(727) 4 9 -1/² 3 N|W for the function…

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Q: A company determines that when 3000 units of a particular commodity are sold, marginal profit s $10…

A: We have to use the given information for solving the sub-parts

Q: A region bounded by f(x) = 2x + 2, y = x, and x = 2 is shown below. Find the volume of the solid…

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Q: Find the derivative of the function at Po in the direction of u. 2x-y 5xy +6 Po(1,-1), u = 3i+4j…

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Q: Find the derivative of the function at the given point in the direction of A. f(x,y,z) = 5x+10y-8z,…

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Q: Jsin(x)cos(x² + 7)dx 2 2

A: Solving the problem

Q: A region bounded by fly) = y, y = 2, y = 6, and x = 1 is shown below. Find the volume of the solid…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: Find an equation of the tangent line and normal line to the curve 2 of f(x) f(x). = X -√x + 5x² at…

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Q: 2) Find the value of a and b such that the function f is differentiable everywhere. f(x) = Jar³, x²…

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Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

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Q: 1 The power series for f(x) = - х2 ха хо 6! defined as 1- + 2! 4! 1-X is defined as 1+x+x² + -+...=…

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Q: ][₁ xyz dS, where S is the cone with parametric equations x = ucos(v), y = usin(v), z = u, 0≤ u≤ 1,0…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Show each step as you work through these problems. Question 1 Solve: tan() = 4 for 0° < x < 360°.…

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Q: Find the average value of the function

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Q: 12) dx tanu dk 13) -6-2t+3K-Kt dt

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Q: 1 n=3nln n-n K

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