(a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 23 – 4k.

Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function f(x...

A: Continuity of function

Q: Find the area enclosed by the x-axis and the curve y=4 – x2. A 32 square units B 18 square units 32 ...

A: We have to find the area

Q: dy Find for Y da V1 – 23 dy da

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Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

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Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

A:

Q: Find the value of k so that the value of (2x - 1) dx is 4. A 2 B) 5 c) 4 D) 3

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Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

A:

Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

A:

Q: The area of a square is increasing at a rate of 36 centimeters squared per second. Find the rate of ...

A: We need to find rate of change of the side.

Q: Which of the following is not true? A 8 (x) dx Su B · 8 (x) ]dx= ƒ (x) dx · dx=k D E) none of the gi...

A:

Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

A:

Q: of Find (8, - 9) if f(x.y) = 8x? + 4xy - 7y + 5x - 8y - 5. дх of (8, – 9) = (Simplify your answer.) ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Derive the following formulas using the technique of integration by parts. Assume that n is a positi...

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Q: Consider the following system. 2x – y+ 2z = 5 x – y+ 3z = 1 x + 2y + 4z = 6 10 1 2 -1 2 13 13 6 13 4...

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of funct...

A: We have to find integral

Q: Vrite out the first five terms of the sequence with, In(n) n+1 determine whether the n=1 sequence co...

A: We will find the limit 

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

A:

Q: Determine whether the integral is convergent or divergent. 5 dy 1 4y convergent divergent If it is c...

A: We have to find the convergent test

Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt; ...

Q: If f(x)dx=6, | f(x)dx=2, and] f(x)dx= - 3, find / f(x)dx. B 3.

A: Given query is to find the value of the integral.

Q: Roughly, speaking, we can use probability density functions to model the likelihood of an event occu...

A: The solution are next step

Q: The height (feet) of an object moving vertically is given by s = - 16t2 + 144t + 108, where t is in ...

A:

Q: Using drawings and detailed explanations for each, explain the three conditions for continuity at a ...

A: Here is the solution of the given problem: 

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

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Q: 6x² – 2x +5 dx? What is 2x + 1

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Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

A:

Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

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Q: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x, ident...

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Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: Find the limit of the infinte sequence. 1 1 1 4 16 Enter dne if the limit does not exist. If the lim...

A: We have to find limit

Q: Evaluate the line integral along the given path. (Give your answer correct to 2 decimal places.) | 6...

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Q: The graphs of the first and second derivatives of a function y = f(x) are shown to the right. Sketch...

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Q: iv. An = In(n + In n

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Q: A bus travelling at 66 along a straight, level road decelerates at a constant rate of 22 sec when th...

A: From the first equation of motion       v=u+at   .....(1)  , where u is the initial velocity ,v is t...

Q: Use the comparison theorem to determine whether the integral is convergent or divergent. dx 3 + x12 ...

A:

Q: 12 | g(t) dt = 30 4. 9(7) V3 9(12) = 4 12 g'(x) Evaluate: dr = 16 + (g(x))²

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Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: The average change of a function f over an interval [æ1, x2] is f(m2)-f(#1) First find the average r...

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Q: -dx. Find the antiderivative of 7* (A + C In 7 In 7 + C 7* (B 7* + C 2 In 7 (D 2 In 7 + C

A: Given query is to find the integral of the expression.

Q: Find the exact value of each exp V3 sin 2 Si

A:

Q: 43. Degree 3; zeros: 4 +1,6 44. Degree 4; zeros: i, 1 + i In Problems 45-48, find the complex zeros ...

A: Factories  f(x)  = x4 -4x3 +9x2 -20x +20   

Q: How do you do this in properties of addition.

A: Our Aim is to apply the properies and to solve the fractions given below:-(2) 39+59+49(4) 426+246+33...

Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

Q: x² – 6 f(x) x+1 > graph of f(x) as x approaches negative infinity -20 -10 10 20 30 40 graph of f(x) ...

A: Solution of question is written in below steps.

Q: If [ s( ) d0 = –sin20 + C , then f (0) =-cos20. 2

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Q: Find the following limit, then enter your answer in the form a/(x-b)(x-c) 1 find lim f (x+h) - f (x)...

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Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What...

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.