Indeterminate Form 1 1 6. lim x-0 sin 2x

Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 1/1/22 4 12 a. b. ³/1 3 2) The Volume…

A: Given

Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax=Ay = 0.25 0 1+xy

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Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: let f(x) equals three sin X plus cosine 4X; (pi,1) find the derivative find the slope of the tangent…

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Q: Solve 5^(x-3)=2^(6x-8)

A: Topic = Algebra

Q: Find the value of the following derivation y = x ln x sin x

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Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: %VIII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)…

A: The given equation is;  y''+y'=sinx.

Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: 5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher…

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Q: Graph the parametric equations below (x(t) = 3 cost + cos 3t ly(t) = 3 sint - sin 3t

A: To graph the parametric equations.

Q: (i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the…

A: We have to solve given Questions.

Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: In(y) = −3x² + ln(7)

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Q: 8 Y + 2√² + 2y = 10x + 25

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Q: Suppose that vectors and ware such that || = 5, |w| = 3, and the angle between them is 30°.…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: e)f[cot2x√sin2x + cos2x]dx

A:

Q: 1. Consider the function y-3cosx-2x-1. a. What is the amplitude of the function? b. What is the…

A: Note:- according to the company policy we can do only three subpart of a question so please upload…

Q: Q3/Solve the differential equation (0²2 - 2x + 5 = e²xsinx)

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Q: II. Use the differentiation rules to solve for the derivative of each function. Show your complete…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Fx 4x2cos x find the derivative of fx

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Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

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Q: Businesses can buy multiple licenses for a data-compression software at a total cost of…

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Q: 2-f sinx(1-sinx)³ (1 + sinx)³ dx

A: An integration is provided. We have to solve it. To solve the integral, we will use substitution…

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: f(x) = x²+6x+5 2-1

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

Q: 6. Expand the binomial expression (3x-2)', then simplify.

A: Topic = Algebra

Q: Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: (x(t) = sin t ly(t) = sin 2t

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Q: A population of rabbits oscillates 23 above and below average during the year, hitting the lowest…

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Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: Evaluate the integral. sin dx Se √1-x² 2

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Q: Find the area of the region between the curves x=((y-2)^2)/3 and y=8-x shown in the following…

A: Explained below

Q: Question 7 of 12, Step 1 of 1 Solve the differential equation given below. Answer y = JUN 14 esc ck…

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Q: 0=yج - - لا

A: Follow the procedure given below.

Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.

Q: sin x = x (1 + tan y). Find and provide solution for dx/dy

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