DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a. at x=-3 b. at x=0 show your complete solution

Q: der the following function. (x) = 9 - |x - 1| (a) Find the critical numbers of f. (Enter your answer...

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Q: Find f(x)dx if 3. 3 4 f(x)dx = -7 and f(x)dx = 3 0. 4 f(x)dx %D 3

A: topic - definite integral answer is 10

Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: If we let u = 4x – 1 for theS 2 tan(4x-1)-3 cos² (4x-1) dx, what will be the resulting integrand? co...

A: Solving the problem by finding the integrand.

Q: 2:(y –x² }tx+ dy =0 1.

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Q: Which substitution is best to use in order to solve the integral / 2sinx cos xdx? Select one: u=cos ...

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Q: 1. Evaluate (3260)"]" × (-5+ j6) (cos(3 + j5)]1-/) Sin sin-

A: We have to find: sin-13∠60°3*×-5+j61jcos3+j51-j. We will find the interior parts first on different ...

Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |...

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx slop...

Q: Solve using the U-Technique Question 11 If g(x) = f'(x) and if g(x) = (cos x – x sin x)e*cos x, then...

A: Given

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

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Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

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Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: 2:(y-x² )dx+ dy =0 1.

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Q: Evaluate the following integral. Sesim (5- In 2 dx 3

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2 cosh(x) dx

A: Evaluate the integral∫2coshxxdx

Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7 5/...

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: Given the following series (-9)" I. E-1(VZ – 1)" II. En-1n10"+1 5n (-1)" En-1 ninn -2n IV. En III.

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Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1

A: topic - functions and indefinite integral

Q: solve for x the equation 4y 3x2 + 2r - 5

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Q: Find A

A: A={4-1 22-4 21-2 1}Multiplying Row-3  by 2;A=12{4-1 22-4 22-4 2}[As multiplication by scalar effects...

Q: dx The integral S ex+1 reduces to f k au, where u = f(x) and for some constant k . Compute f (1).

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Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of ...

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Q: Find the particular antiderivative that satisfies the following conditions: F' (x) = a* + 5Væ; F(1) ...

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Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

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Q: For the binomial series: (1+x)" = 1+ mx + m(m-1) 2! 1 + E m(m-1) k=1 8. %3D laurin series for V1 + x...

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Q: Solve using the U-Technique Question 14 Let dx be given . If = e* + 1, then the resulting integral i...

A: Solving the problem by finding the value of f(3)

Q: Prove that the given equation is a solution to the given DE: 1. %3D Gjезх + Сzе 2х + Сзе*; у" — бу" ...

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Q: 40. f(x) = -x' + 3x + 7, %3D

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Q: ху" + (1+х)у —е*, у(1) — 0

A: As mentioned to solve question number 6. Kindly repost the other questions in the next part.Question...

Q: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Please see the below picture for detailed solution. 

Q: m+2m Consider J dm. If we letu = m+ 1, what will be the resulting integral as a function of u? In(u)...

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Q: Show that f() find that root. (Use five iterations of the method by starting point xo = 1. You need ...

A: Given problem:- Show that f(x) = x3 - 2x - 4 has a root between 1 and 3 and use Newton's method to f...

Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

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Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: prove that tanx = V secxsinxtanx %3D

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Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

Q: Find the equation of a NORMAL LINE in SLOPE-INTERCEPT FORM to the given cu below f (æ) = (x² + 1)* %...

A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point ...

Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x) 

Q: Let a > 1. Find the area of the region bounded by y = /2(x – a) and y = x- a. A) B) C) D) E) 6. A) B...

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Q: 2. @-2-6X8-マメーメー3メー6時+2

A: f(x,y) = 2x2-3y-4∂f∂x =ddx(2x2-3y-4)∂f∂x=4x∂2f∂y∂x =ddy(∂f∂x)∂2f∂y∂x =ddy(4x)∂2f∂y∂x =0∂2f∂x2 =ddx(∂...

Q: Determine the a coefficient of the following quadratic equation and determine if this quadratic has ...

A: The given equation is -2(x-4)2+1  This is in the general form and i.e. a(x-h)2+k  By comparing, a=2 ...