Solve the following inequalities by the verification method and indicate the solution set on the real line (without skipping any step) 3. x+4 4. |(x – 3)x + 4| > 7

Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3 ...

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Gve the doman of the function as represented by its graph. 4+ 3 2- 3 2 i 3

A: Domain of function is the set of the values of inputs.  Here In this case of graph, the set of input...

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: 3 dx is . Jitx The value of V1+x d. 0 b. 2 с. -1 а. 1

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Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

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Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum ...

A: I am attaching image so that you understand each and every step.  

Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show tha...

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Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

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Q: 12.) Given u= (1,2,-3) and v= (2,-1,1) find: F a.) b.) 2u- Sy c.) The angle between u and v. d.) uxv...

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In(5e)

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Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

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Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in cm/...

A: Topic:- application of derivatives

Q: 3. f(x) = v2 – x at x = 1

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

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Q: Evaluate the limit. lim x+0+

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Q: 1. Let f(x) = |x| + 2. Determine if f is differentiable at x = 0. 2. Let f(x) = x5. Determine if f'(...

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Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

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Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: Determine whether the series converges. 17 19k k=1 The series

A: ∑k=1∞1719k consider f(x)=1719kuse integral testlima→∞∫1a1719xdxThen∫1a1719xdx=1719∫1a1xdx1719(ln(a)-...

Q: The piecewise function f represents the prescribed minimum withholding tax of a person whose monthly...

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Q: What are the dimensions of the A closed box with a square base is to have a volume of 250 cuin. The ...

A: Question: What are the dimensions of the A closed box with a square base is to have a volume of 250 ...

Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: Which of the following differential equations can be classified as separable and exact?

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Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. - n→+∞ n

A: follow next step

Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

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Q: lim (x² + 2) -2

A: Here we have to find the limit using table of values

Q: Calculate the absolute and relative errors in the expression: -3cb – 2b –2, if the measurement of a ...

A: The given measures are a=4.5345, b=0.3858, c=2.1050. The measurements are correct up to four decimal...

Q: For what values of x does the series converge​ absolutely?  For what values of x does the series co...

A: Notice that                   limn→∞n+1xn+1n+4nxnn+3=limn→∞1+1nxn+11+4nxn1+3n=limn→∞1+1nx1+4n11+3n=x

Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

Q: X' dx - X Evaluate: 4x½ 3 3x6 а. 3x% b. 3/ (4 + +C 10 3 10 +C 3 5/ 3x% + с. +C 3% 3 10 d. 10 +C

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Q: d.f* .3 e x* dx

A: The given improper integral is: ∫0∞ e-x3 dx

Q: 3.b) Eliminate the Ar bitrary Constants in the equation: ( 3.a) Eliminate the Arbitrary Conat anta i...

A: We have to obtained differential equation of given curves.

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

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Q: Determine C when x=y=0 (xy+ 2)dx = (x'y +x² + y? + (z²y + z? + y} +1) dy %3D

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Q: The differential equation x(3xy-4y +6kdx+(r' – 6x²y² -1dy= 0 is exact because ÔM ON

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Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify...

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Q: 00 nx n+3 n=0 3D0

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y = ; d'y/dx 2. Y = (7x + 2)5 3....

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Q: Question Select your answer. if a 4 1 4 16 does not exist 2.

A: Given f(x)=1xif x&lt;4,x2, if x≥4that is if domain of the function less than 4 then function is 1xIf...

Q: You want to be able to withdraw $20,000 from your account each year for 15 years after you retire. Y...

A: Deposit amount per year should be:-

Q: -х-f(x) Let g(x) = f(x) 2, find g'(1), if f(1) = 4 and f'(1) = 2 1 3 b. d.- а. с. -- 2 8

A: Differentiation in u/ V form    Here option   a  is the correct answer 

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: Whet is the particular solution if y(1)-07 zy = y+ (x² + y²)² y =z sin (In z) Arcsin 2- - In z + 1 O...

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Q: Use  f(x) = 3x − 5 and g(x) = 4 − x2 to evaluate the expression. (a)    f(f(2))   (b)    g(g(3))

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Q: Evaluate |3-2*35* dx a. 33* In 3+C 33x b. +C 3 In 3 - 32x+1 In 3+ C 33x+1 d. +C

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