Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The length of the curve is (Type an exact answer, using radicals as needed.)

Q: Set up integrals To find the area of the regions between the curve of y=4 cos x and the x axis for 0…

A: The Solution is given below

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Q: For the function f(x)= (8+2x, if x5) A) use definition of continuity at a number (3- step test) B)…

A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

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Q: Evaluate 2 1 ² ₁² + √²³² - ²3/7 + 3x²³ - ²/3 d. X =)dx 3 X X 2 6.780 6.870 -6.870 -6.087 -0.687…

A: Given ∫12x3+x43-3x32+3x2-2xdx

Q: 5. Find L¹ s-1 s³ -10s² +24s

A: To find L-1s-1s3-10s2+24s.

Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…

A: We need to find out the distance between the given point and xz plane.

Q: Evaluate € 11/² 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 3, x ≤ y ≤ 2x, 0 ≤z<x+3y}

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Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: If b) [ f(x)dx = = n(x)) = 1 then find f(x). = + = 2 x ² + 6x -tan(x) - 4e + + 6x + C

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(?) and y = r sin(?), and note that (x,…

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Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

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Q: If 7 (² then f(x)dx = 7 and is equal to Select one: O 5 O -5 O-2 2 7 [²50 none of the others 5…

A: Topic = Integration

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Q: a) Evaluate [₁(x-3) (x-3)√√x+3dx

A: I have stated the used formula in the solution

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Q: Find the center and radius of the sphere with equation (x + 3)² + (y + 1)² + (z − 1)² = 64 Center:…

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Q: π Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for 6…

A: We have given a inverse trigonometric function of tan

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Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

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Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: Let a = (5,4, 2) and b = (-1, -2, -3), th 3a - 5b = (10, 2, -9). Select one: O True

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Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

Q: Represent the function CO = Compute the first few coefficients of this power series: C1 = C2 || C3 =…

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Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A: We have given a function in an interval. Then arc length will be

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

A:

Q: Consider the following graph on the interval - 165° < x < 270°: 5 4 3 2 D 1 150-120 90 -60 -30 -1 -2…

A: We have given a graph of function and finding amplitude,period and function

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A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

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Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1, 2, -2) are the three points in a 3D coordinates system. a)…

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Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: The equation of the plane that passes by P(2, 0, -1) and that is perpendicular to the line x-5 2-y Z…

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Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Increasing global temperatures raise sea levels by thermal expansion and the melting of polar ice.…

A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

Q: Evaluate the following integral. √144-16x² dx

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Q: Exercise (c) Find the inflection point. Find the interval on which f is concave up. Find the…

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

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Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

A:

Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.