the Curve y=2x=3== r x + 20 where the tangent is parallel to the X-aXis Find the points on 12 X + 20

Q: Calculate the simple interest earned when P = $15,000, r = 7.5%, and t = 70 days using the ordinary ...

A: The formula to calculate the simple interest is given as follows:

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Q: 3. [(3t S(3t +r²)sir sin(2t) dt

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Q: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R. b) Find all c ER for which ...

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Q: In how many years will annuity of Rs.400 amount to Rs. 4064 at 3% p.a. compound interest?

A: The formula for the compound interest is given as follows:

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Q: (d) Let P(x) be the statement " x? > 1" and Q(x) be the statement "x+1 < 4". The universe of discour...

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Q: able test determine whether the follov r your answer. 2)2 8.

A: Introduction: The series an will converge if L&lt;1 and diverge if L&gt;1 where L is given by, L=lim...

Q: A = {3,5,7,9,11} B={7,9,11,13}  C={11,13,15} and D={15,17} find A ∩ B A U B (A ∩ B) U (C ∩ D)

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Q: Determine whether the series converges. Σ V2k – 1 O The series converges. O The series diverges.

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Q: Activity: It's Your Turn! Direction: Find the measure of each angle indicated using the exterior ang...

A: 1)  by exterior angle theorem  ∠U+∠T=∠V                  ∵sum of opposite interior angle= exterior ...

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Q: 4. Simplify the following: Note : m=5 n=3 x" Vy4 z² (x³ y6)0 x³ y-2, (x³ y4 z=7)(m+4) x yz

A: Solution

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Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

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

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A: We have to find the value of the variables x, a, b, c, d and e for the given angles. For this, we ha...

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Q: Calculate the future value when P = P5,000, r = 11%  compounded monthly, and t = 8 years.     P5,3...

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A: Given : X+Y=Z a) To find the value of a, b,c,d -231a+b-12-4=1cd4a-4=4a=83+b=1b=-23-1=cc=21+2=dd=3 a=...

Q: Let f(x, y) = x sin ry. Find: fyy (x, y) fyz(x, y)

A: f(x,y)=xsinxyfx=sinxy+xycosxyfyx=xcosxy+x(cosxy-xysinxy)=2xcosxy-x2ysinxyfy=x2cosxyfyy=-x3sinxy

Q: Example: Evaluate the following Integral CO -x=V2 ry=2 x³ev° dydx Jy=x²

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Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...

Q: Let Set U be the universal set containing the numbers from 1-50. Let Set A be the set of all numbers...

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Q: QUESTION 2 Let g(x,y,2) = xyz? - ysinx Find vg(n,1, - 2)- Oa (3,4n, - 4 r) Ob3 OC (5,4n, - 4n Od.5. ...

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Q: 3 3 fx J,cx) dx = (x-4x)J, CX) +2x J,cx)+c (x-4x)J, CX) +2x JoCX) +c

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Q: Evaluate fo (6+3 cos a) da using Trapezoidal Rule (n=2). O 12.43167 O 12.26896 11.78097 O 12.386125

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Q: Consider the following binary set relation: R= {(1,5), (2, 2), (5, 1)}, on A = {1, 2, 5} a) Compute ...

A: Note: The set Bis not given hence w won't be able to solve part (c).  The given relation is R=1,5,2,...

Q: What is the simple interest to the nearest cent on a credit card balance of P1,150.00 at 11% interes...

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Q: Consider the following signal, for a time period of 2 π. u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 ...

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Q: 2. A vector a has components ax = 1, ay = 2, and az =-5. A vector b has components b, = 3, b, =-1, a...

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Q: Əw and aw Q1) Find if ar as w = x? + 3y +z, X=r- s, y= cos (r + s), z =e".

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Q: Solve the value of w, x, y and z on the given system of linear equations using any method you know. ...

A: We can solve this following equation by guss Jordan elimination

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A: Two matrices A=124213102 and B=124213226 are given. We have to calculate the matrix E that satisfies...