Find the second derivative of the given  2x3-3y2=8

Q: Show that if c>0, then the integralof 1/x from ac to bc (0<a<b) is the same as the integral...

A: The purpose is to prove that , ∫ab1x dx=∫acbc1x dx The  integral of 1/x from a to b.  ∫ab1xdx=lnxab=...

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: Given:∫01xe-x2dx

Q: 4 in. 4 in. (a) (b) A sector with an arc length of x is cut out from a circular piece of paper of ra...

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Q: Quotient Rule derivation Suppose you forgot the Quotient Rule

A: Given- ddxfxgx=ddxfx·gx-1 To derive- The quotient rule using the product rule of differentiation. Id...

Q: dt K = t5

A: Given : K = ∫15dtt5

Q: To gain 25% after allowing a discount of 10% , the shopkeeper must mark the price of the article whi...

A: Given:       Since the cost price of the article is $360.

Q: A not-so-enthusiastic student has a predictable pattern for attending class. If the student attends ...

A: Given: If the student attends class on a certain Friday, then she is 4 times as likelyto be absent t...

Q: Find (a)f  + g, (b)f  - g,  (c) fg , and (d)f/g and statetheir domains.   f(x) = x3 + 3x2    ,  g(x)...

A: Given: f(x) = x3 + 3x2    ,  g(x)  = 3x2-  1 

Q: please help with these, they are one question. just different parts part a) part b) please answer bo...

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Q: Find the area of the region that lies inside both curves. r = 5 + 3 sin(0), r = 5 + 3 cos(0)

A: The equation of curves are r=5+3sinθ  and  r=5+3cosθ.

Q: lm f(Ith)- f(). lim %3D Find the Slope of the line targent to the graph of flx) = x x+ 5 at the pont...

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Q: Solve absolute value inequality : 4 < l2 - xl

A: The given inequality is 4<2-x.   Remove the modulus. 4<2-x<-4

Q: Improper integrals Evaluate the following integrals or show that the integral diverges.

A: Given: ∫0∞xe-xdx

Q: What is i ? Explain.

A: In complex numbers, i represents the imaginary part. The value of i is -1.   So, in case if we end u...

Q: Graph the solution set of the system of inequalities or indicate that the system has no solution.

A: the given system of inequalities is: x≤3 y≤-1

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the...

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Q: Higher-order derivatives Find and simplify y". 3x 1 y = x + 1

A: Given: y=3x-1x+1

Q: 3. (a) Using exponential notation, we can write V5 as (b) Using radicals, we can write 512 (c) Is th...

A: 3. a The exponential notation of the term 53 is, 53=513 Thus the exponential notation of the term 53...

Q: Find the indefinite integral.

A: To evaluate: ∫1x-14x2-8x+3dx Solution: Let substitute u=4x2-8x+3 dudx=124x2-8x+3·8x-8dudx=8x-124x2-8...

Q: Evaluate S10, the sum of the first ten terms of the arithmetic sequence. a1=8, a10 = 6 S10=(Type an ...

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Q: Compute without using a calculator.

A: Explanation: We know that,  cosx=sinπ2-x Now  cos3π2=sinπ2-3π2              =sin(-π)              =-...

Q: Find ∂q/∂r if q=xy+xyz where x=2r, y=r2 ln (r+m cos r), and z=3. Show the correct expression first b...

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Q: Please solve, thank you.

A: We have to evaluate the integration by substitution.

Q: Solve the system and graph the curves. Show your Solution. a. x² + 3x – y + 2 = 0     y – 5x = 1 b. ...

A: a) Given- System of equation   x2+3x-y+2=0             y-5x=1 To find- The value of the system of eq...

Q: \2 3 Graph of f' The figure above shows the graph of (На рисунке выше показан график ) f. the deriva...

A: According to Question:  Consider the graph: When the sign of graph f'x changes from positive to nega...

Q: (2x + 4) sec2(x2 + 4x)

A: ∫(2x+4)sec2(x2+4x)dx Formula ∫sec2x dx=tan(x)+C

Q: Find the product. (9 - 5x)2

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Q: Graph the solution set of the system of inequalities or indicate that the system has no solution.

A: We have to indicate for the given system of equation that it has no solution: x2+y2>1x2+y2<9 D...

Q: Determine whether the integral is divergent or convergent. If it is convergent, evalı your answer as...

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Q: Solve for x accurate to three decimal places. ln x2 = −8

A: ln x2=-8ConceptIf ln a=ba=eb

Q: 8- 7- g(x) h(x) 6- 4. x-values X-values g(x) h(x) If f(x) then f'(2) - 2. 3. values 3. 2) y-values

A: according to given figure gx=-x+9hx=x+52,x<52-x+152,x≥52 so, at x=2 given functionfx will be fx=-...

Q: Divide using synthetic division : (6x5 - 2x3 + 4x2 - 3x + 1) ÷ (x - 2)

A: To divide the given equation using synthetic division  

Q: Find (f-1)'(a) for each (the derivative of the inverse of function f). f(x) = x³ + 2x + 3, a = 0 а. ...

A: (a) f(x) = x3 + 2x + 3 , a = 0 f'(x) = 3x2 + 2 To find the inverse of a function, we swap the inputs...

Q: find an equationfor the line through P parallel to v. Then sketch the line. Include v inyour sketch ...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...