Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X. f(x) = x - 2 / x^2 - 4 a. at x = -2 b. at x = 2

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Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

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Q: 3. Is the function given by Sx-4x-5, メ<5 X-5 2. continccus at x =52 Why ar whynot ?

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile i...

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

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A: We will use the basic trigonometric formulae to solve this question.

Q: The integral reduces to Sk, where u = f(x) and for some constant k . Compute f(1). e*+1 e+1 A B e-1 ...

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

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: 1- 8x + 72(-1) (k + 7)! k! k=2

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Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: Write the first five terms of the sequence: {13a"} ´ 13 In n ] +00 n n=1 Determine whether the seque...

A: {13ln(n)n}The nth term of the sequence isan=13lnnna1=13ln(1)1=0a2=13ln(2)2a3=13ln(3)3a4=13ln(4)4a5=1...

Q: I. Identify the elements for the following set expressions given the sets below: (Explain your answe...

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Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

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Q: The integral / 2/ (*) cos(2*) dx takes the form k cosu du when u=2* and f (x) =x – 5. what is the va...

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Q: 1. 2x(y-x dx+ dy = 0

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Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: Find a parametric representation for each of the following surfaces: (a) 36(x-1)² +25,y² +9(z+2)² = ...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Which of the following expressions are equivalent to cos(20) .? tan(0) Choose all answers that are c...

A: cos(2θ)tan θ =cos2θ - sin2θsinθcosθ              = (cos2θ - sin2θ) cosθsinθ             = cos3θsin θ...

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine...

A: For the solution follow the next step.

Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

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Q: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

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: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p c...

A: We will solve the integration using substitution. 

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: Determine the critical numbers of the ff. functions.

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Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: dx - 7y*; when y=1,x=-1 1. 2. (4+sine*)y' =e*(6sec e* -ycose");y(ln x) = 1/4

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Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

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Q: prove that (sin?acos?x)(tan²x + cot?a +2) = 1 %3D

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Q: an exponential function y f(x). (2,8.64) (1,7.2)

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Q: Let s- dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f( er+1 3 A n ...

A: Given query is to find the value of f(3).

Q: H.W Find the Adjoint to the following matrix 0.5 01 X = -1 1 -0.8 2.2 2 -3.3

A: Let A =[ aij ] be a square matrix of order n. The adjoint of a matrix A is the transpose of the cofa...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)k+1 k8/...

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Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

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: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...

Q: Explain why limit exists or does not exist. (z-2)(z-2) lim log1/3 \sin((2z+ 1)(z-2)) Z→+2

A: Solution is here 

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: 3 21 2 8 -1 -7 -2 -24 Using polynomial interpolation of the data above, find: a. the degree b. the p...

A: The given values are: We will use the Lagrange Interpolation Formula to find the polynomial.   Lagr...

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: Given dimensions: The dimensions of the cardboard are 14cm×12cm An open rectangular box is to be con...

Q: 2.ly-x dx+ dy = 0

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

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Q: Determine whether the series converges. Σ k=1 V8k – 1 The series converges. O The series diverges.

A: To determine: The convergence of ∑k=1∞ 18k-13.

Q: The function f(t) = 5(1.3)' determines the height of a sunflower (in inches) in terms of the number ...

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by; Average rate o...

Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find.