x²-5y²-3x-y +22=0 (y-2)(x-y-2) = 0

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: Find the maximum and minimum values of the function ㅠ g(0) = 60 - 7 sin(0) on the interval 0,…

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Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A: Use derivative and find maximum or minimum value

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: The growth in the population of a group of rabbits is given by P(t)= 800e0.08t, where P is the…

A: use derivative for finding the instantaneous rate

Q: Define as the region bounded by the functions u(y) = √5 + 1 and v(y) = 1 between y = 1 and y = 2.…

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Q: 16. dx x√√16+x²

A: To find out the integration.

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: Given cost and price (demand) functions and C(q) = 117q+31000 and p(q) = -2.3q+900, what price…

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Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: (2x-1) In(4x) dx

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Q: Consider the function f(x) = 3x² − 8x + 6, 0 ≤ x ≤ 9. The absolute maximum of f(x) (on the given…

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

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Q: Find the volume V of the solid E enclosed by z = 9-y², z = 36-x, x = 0, and z = 0. (Give an exact…

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Q: Determine the constants c and d in the equation of the curve y = ax + b³ + ca+d having a critical…

A: The objective of the question is determine the value of c,d on the given curve.

Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

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Q: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

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Q: 17. √16-e² -dx

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Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: 5. In another state, license plates are formed using 6 symbols, any of which can be a number of a…

A: We know, There are 26 letters A, B, C, . . . , Z and 10 numbers 0, 1 , 2 , . . ., 9.Therefore we…

Q: 9. J et dx 10. 4лr² dr

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Q: What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a point

A: The function of co is given by: y=Acos(Bx)+C where A is amplitude, B is the period and C is the…

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: Find the area of the surface generated by revolving about x-axis the part of the curve y = sin x,…

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Q: A lighthouse is on an island 300 meters off shore. The lighthouse beam makes a full turn every 7…

A: Let's solve.

Q: y = x4; and y = 1 about y = 2

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Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: 11. Oil is being pumped continuously from a Texas oil well at a rate proportional to the amount of…

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Q: ffff dydadz, where A is the region of hemisphere A ² + y² +2²=a²is the same as tripple integral by…

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Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

Q: writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).…

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)? O 5 (sin(x) + cos(x)) -5x (cos(x) - sin(x)) No correct…

A: Derivative of product: ddxuv=udvdx+vdudx

Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

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Q: Find the logarithm. 1 log10 100, 000

A: We will use basic logarithm properties.

Q: Determine the absolute extrema of the function f(x) = (x-3)ex on the interval -1≤ x ≤ 3.

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Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that

Q: dx (16+x)³3/²

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Q: O C. Z= (sin O D. Z= (cos + i cos Write the complex number 9-9√3 i in exponential form. z= (Simplify…

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Q: Find equations for the tangent line and normal line to the circle at each given point. (The normal…

A: The circle equation x2+y2=25