4.) Find dy/dx. Given: 5x - x'y' = 2y %3D 5.) Find dy/dx. Given: y? + 2xy² – 3x + 1 = 0 | 6.) Find dy/dx. Given: -+-= 1

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: 25. Evaluate the following definite integrals. e) L, 3wv4 – w2 dw

A:

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: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: So 4х cos (2x) dx e x COS

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Relation 1 Relation 2 Domain Range Domain Range j y O Function O Not a function O Function ONot a fu...

A: A relation R from A to B is a function if each value of A is mapped to only one value of B.

Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential ...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

A:

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

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =...

A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

A:

Q: 2+x 5. Given f(x) =<tX Find X-4 %3D a) fe) b) f(a+1) c) f(x) + f(h)

A:

Q: Evaluate using substitution techniques

A: Given

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: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

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Q: (0 -20 +2) y - 24esin 3x when x=0,y-0,y'=0

A:

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O...

A:

Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: cos° Vx dx x CsC csc Va

A:

Q: 9) lim メフ16 ス- 16 4-ra

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Q: 27 Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has ...

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Q: Evaluate the following limits. 1. lim (1+ Vw)(2– u? + 3w) 22 – x - 2 4. lim 6x2 – 7r +1 7. lim エ→ー1 ...

A: Topic:- limits 

Q: Q// Sketch the region of integration and evaluate the integral +/y+4 dxdy y+4

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Q: ifx 1

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Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: et dx (9 + e2¤)

A: Integration   by subsitution technique 

Q: Martin went to the store and bought toilet paper and paper towels in March of 2020 and sold them to ...

A:

Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

A:

Q: 25. Evaluate the following definite integrals. dy d) (y+2)

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: VI+x – 1 lim V4– x – V4– x²

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: ve f (cot x + tan x) dx then evaluate the an

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Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof...

A: We know that  Tan(x) =sin(x)/cos(x)        

Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: Using the following equation, find the center, vertices (and its axis), foci, and asymptotes. (Note:...

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Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

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

A:     ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that t...

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

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Q: .3 dx J Tx²+9 .2

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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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: Given :   Cable weight used 2.5 pounds per foot

Q: In getting the derivative of a rational function, just get the derivative of

A: Topic:- derivatives   

Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: Solution