Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1 |ide = 7(1) - 7( – 1) – 14. |3| O True O False

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Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

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Q: [3 -1 [o -1 2] |4 11 2 Given A = and B=|1 2 |6 1 (a) Find the eigenvalue(s) of BA. (b) On the basis…

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Q: how long will it take for 16200 to double if it is invested at 5.5% compounded quarterly

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Q: Does the following series converge or diverge? 4. 4h n= 1 O The series converges. O The series…

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Q: 5- sin n est the series for convergence or divergence. En=1

A: Given query is to find series converges or diverges.

Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Find an equation for the ellipse whose graph is shown. + 25 1 x 16 y F(0, 4) 4

A: The standard form of the equation of ellipse with center (0, 0) and major axis on the y-axis is…

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Q: at is wrong with the following equatlon: 8 + (6/2) = 17 -5 %3D A The symbology is not standard so…

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Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

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Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

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Q: Cos3 cos³x S dx 1+ sinx

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Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: How long will it take $8000 to grow to $20,000 if the rate of interest is 7% compounded…

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Q: time (sec) velocity (ft/sec) 11 1 19 2 20 3 12 4 3 1 8 feet

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: 3. What is the limit x+5 а. lim х-2 х-4 X-4 b. lim X+4 x3-64

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Q: dx If z4 = x+y2, dy 3, and z > 0, find dz -1, dt at (x, y) = (0, 4). dt %3D %3D dt Please give an…

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Q: Given a set of data points determine Newton's interpolation polynomial of higher degree which passes…

A: The given points are: x -1 0 1 2 fx 3 -4 5 -6   We have to find Newton's interpolation…

Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

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Q: The area of a soccer field is represented by a? 12a + 32 square metres. - Find a simplified…

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Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

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Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: Find the distance between the parallel planes – 2z + y + : = 0 and 10z – 5y – 52 – 36 = 0. NOTE:…

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Q: If C(x) = 16,000 + 600x – 1.6x2 + 0.004x3 is the cost function and p(x) = 1,800 – 7x is the demand…

A: Given query is to find the production level where profit is maximum.

Q: Does the following series converge or diverge? (2n)! Σ 6"(n!)? n= 1 O The series converges. O The…

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Q: 3. -2 -5 Find the va lue of Hif Xi+xdx 3.

A: 3-2-518H-134=∫03x1+x2dxPut 1+x2=yas x →0 ,y→1as x →3 ,y→2differentiate on both…

Q: vith nonzero terms and let m Which is valid An converges absolutely. an converges absolutely an…

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Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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