1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

Q: Given the table of values below, find h'(1) if h(x) = Xx 1 f(x) 1 g(x) (x) 2 f'(x) 3 g(x) -3 g'(x)…

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Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 6, y'(-1) = 6. y(t) =

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Q: the region r is the base of a solid. for this solid, each cross section perpendicular to the x-axis…

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Q: Rewriete rhe following equations into standard form amd dentify the vertex, focus, axis the…

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Q: e Transform of f(t) = sin²t By Rule.

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Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: 39. A. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking…

A: This question is based on similar triangles postulate and derivatives.

Q: S x² + x x³ − x² + x - 1 - dx

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Q: The point (a, b, -7) lies on the line L1: [x,y,z]=[3,−1,4]+s[4,3,−1] Determine the values of a and…

A: Given: To determine: value of a and b

Q: Use Newton's method to find solutions accurate to within 10-5 for the following problems. L et + 2+2…

A: As per bartleby guidelines we only give first question answers. Please repost for others.

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

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Q: IF B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if…

A: Let's find determinant of given matrix.

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x+ -7 Select the correct…

A: We have to find the absolute extremum for the function f(x)=4x4-7.

Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

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Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: Use the vertical line test to determine if y is a function of x in the graph. Oy is not a function…

A: Vertical line test: If a vertical line cuts the graph at only one point then the given graph is the…

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: Find the limit of the following. Use L'Hôpital's rule, if applicable. Use - ∞ and ∞ when…

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Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f'(x) = Select…

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Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: Find the general solution of the following differential equation. y" +10y' +26y = 0 NOTE: Use C1, C₂…

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Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

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Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: If y, and y₂ are linearly independent solutions of ty" + 2y + tey = 0 and if W(y₁, y₂)(1) = 6, find…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1…

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Q: Extra / 2 به (x۰ -5 ) + 1x -x*) 4

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Q: 2. Evaluate the double integral over the rectangular region R. (a) ffx√1-x² d4; R={(x,y):0≤x≤1,…

A: dA is the small changes in area due to small change in lenght and breadth i.e dx and dy so dA can be…

Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Since, you have posted question with multiparts. As per guidelines, we"ll solve only first three…

Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = 2x/π + 1. Find the area of the…

A: Area between curve

Q: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

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Q: Find (x,y) for the lamina of uniform density p bounded by the graphs of the equations x = 169-y² and…

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Q: uation for the polynomial graphed below. You can leave the function in factored form 5+ 4 3 + رما 2+…

A: See the answer below

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.