Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: Use integration by parts to evaluate the definite integral. 8t² In(t)dt Give an exact answer

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Q: Activity x -1 a. Find lim f(x) if f(x)=. x+1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1...

A: Limit  and function values 

Q: Find the limit of the function along the path y = 0. X-m lim (х.у) - (0,0) у -п C. -" 772 772 A. 0 В...

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

Q: S(2y + 3)?/ y+ 2 dy

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 1000 The logistic growth model P(t)= represents the population (in grams) of a bacterium after t hou...

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: Find the area of the shaded region. y y= v x 1 1, 1) X= 27 1 y = 10 15 20 25 2. 4.

A: Given query is to find the area of the shaded region.

Q: (d) dx a + x (e) 1 da J (a + x)2

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Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

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Q: 1. In February, NVIDIA stock rose from $197 a share to $243 a share, while AMD stock increased from ...

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Q: 13. Find the solution set of |6x – 13x – 5|| 2x b) 14x – 1| 2 12x + 3| + 1 c) |2x? – 3x – 4|< 5

A: In this question we will use formula |A|= x.  A= -x  Or A= x        

Q: The integral represents the volume of a solid. Describe the solid. 2nx' dx O The solid is obtained b...

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Q: e3x (1 – 2e3x)2

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Q: Determine any relative min or max of the function. You will be provided a table on how to evaluate D...

A: To find the relative min or max of the given function. 

Q: Find the general solution usinh linear or bernoulli’s equation: θdr + (2r +1 - θr) dθ= 0

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Q: Determine the integrating factor of the following non-exact differential equations

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Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

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Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: Use sigma notation to write the Maclaurin series for the function. 2cosh x (2k)! 2 (2k)! (2k)!" 24+1...

A: Given : f(x) = 2coshx

Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: ifx 1

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Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: If you will use trigonometric substitution in solving the integral below, what will be the HYPOTENUS...

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Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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Q: 2.2) Solve and explain the steps involved. (2+72)es*dr

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: about the y-axis

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Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: 3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

A: This question is based on indefinite integral.

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x2 + 4 (a) Find...

A: As per bartleby guidelines we only give first three question answers. 

Q: do The marginal cost of printing a poster when x posters have been printed is 1. dollars. Find c(196...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: we should find the height of the rectangle such that the window will admit the most light.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.