Find the value So X (x²+1)= dx

Q: The equation (x − 1)² + (y − 4)² + (z − 3)² = 25, - is an equation of the sphere with center C(1,4,…

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Q: 8. The area of the triangle whose angles are 61 9'32", 34°14'46", and 84°35 42" is 680.60. The…

A: Area of triangle and sine rule are used.

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Answer :- Given ,  The side of a regular pentagon is 25 cm  If the radius of its inscribed circle is…

Q: 5. Evaluate the improper integral S₁ 1 (x-3) 5/3 dx.

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Q: Consider the following function. f(x)=√x-1, (17,4) (a) Find an equation of the tangent line to the…

A: Here we have to find the equation of tangent line.

Q: 7) The integral that finds the length of the curve y = 1+ In(sec(z)), 0≤ ≤ [² tan(x) da (C) csc (2)…

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Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: A) Find the value(s) of m so that the function y = ex is a solution of y" - 7y' +12y = 0. B) Find…

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Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

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Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: True or False: The definite integral is equal to Select one: O True False 1² (x² + 3e*)dx [²x²dx + 3…

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Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

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Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: Find the derivative of the function y = 4 sec¹ (x + 2). (Use symbolic notation and fractions where…

A: We can find the derivative as below.

Q: ● If a = 2j and b = 4k, then a b = 8. Select one: True False

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Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

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Q: K(r)= er tre k' = d (e^) + d dr " er + dr - (re) Help with this derivative

A: Topic = Derivative

Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: Calculate the derivative. y = tan -T y = 2+x 2 - x (Express numbers in exact form. Use symbolic…

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Q: S In (x) √xln(x)-x dx

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Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: We have given a function f=|x| , we have to find g(x) with the help of graph

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: A manufacturer estimates that the cost of production of x units of a certain item is…

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Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

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Q: The determinant for the following matrix is [511] L4 2 O C 10 2

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: 1 (x-2) +- -(x - 2)²_ -(x-2)³ +...+ 25 1 125 1. Given the series 1- 1 —— (a) For what values of x,…

A: Solve the given series as following:-

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: -arc sin y dy 5 Answer with text and/or attachments:

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Q: 25 5.²5 4 Incx √x dx

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Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find 2; -2 lim x→0- f(x) and O…

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: Solve the triangle, if possible. a = 150 m, A = 31.53°, C = 22.95° Select the correct choice below…

A: This question can be solved using the concept of sine rule.

Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.