sec x-tanx lim X→- 2 2 х2+sin 3x lim х-0 2х+tan 2x

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}. %...

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Q: Find the factors of the equation x3-2x2-x+2 .  Please assist in solving the above

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Q: What's the current yield of a 3.8 percent coupon corporate bond quoted at a price of 102.08? (Round ...

A: Given that 3.8% coupon corporate bond quoted at a price of 102.08. Formula for current yield is curr...

Q: The given T is a linear transformation from R² into R2. Show that T is invertible and find a formula...

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Q: 211 1 1 0 10 1 A =

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Q: Find y as a function of t if y" + 8y' + 41y = 0, y(0) = 2, y' (0) = 8. y = Note: This problem cannot...

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Q: Given a data set as attached xi 0.2 0.3 0.4 0.5 0.6 0.7 fi 1.0832 1.1972 1.3771 1.6487 2.0544 2.664...

A: The given data set is as below. xi 0.2 0.3 0.4 0.5 0.6 0.7 fi 1.0832 1.1972 1.3771 1.6487 2.054...

Q: Find the equation in standard form of the hyperbola whose foci are F1(−4√2, 0) and F2(4√2, 0), such ...

A: The standard form of equation of hyperboles is  If foci is on x-axis then x2a2-y2b2=1 If foci is on...

Q: For the vectors: (6, –5) and V = (-1,4) U = Which of the following is the correct value of: |3 7ỉ – ...

A: Here we have to find |3u - 2v| using given u and v vectors

Q: Question No. II Show that the column vectors of following matrix A are linearly independent: [1 0 07...

A: Introduction: When a set of vectors v1,v2,...,vn is given, the vectors are linearly independent if f...

Q: The Growth of Combinations of Functions Multiplication Theorem 6.3 Suppose that f (x) is 0(g,(x)) fo...

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Q: Sketch a contour map with at least four level curves for the following surfaces: a. z = 9x? + y? b. ...

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Q: need help finding y′′+4y′+5y=5x+3e^(-x) The other doc is a similar problem to help solve the first ...

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Q: 12x-48 ei-ーe

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Q: Find y as a function of t if y" + y' – 2y = 0, y(0) = 8, y(1) = 8. y(t) = Remark: The initial condit...

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not ...

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Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =...

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Q: 2. Find the region of convergence of the series (3r)" +2

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Q: The curve has an equation of x^2 + y^2 = 25. Find the length of arc from x = 3 to x = 4. * O 3.44 un...

A: For a curve y=f(x)  Arc length = ∫1+y'2 dx   Given curve is x2+y2=25⇒y2 =25-x2⇒y   =25-x2 differenti...

Q: Let G be a cyclic group with generator a, and let G' be a group isomorphic to G. If : G -+ G' is an ...

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Q: a) 2x? + 3x + 5 = 0 -4 b) 4 and 2j13 :9 c) 4t? - 5t + 7 = 0

A: (a). Given expression is 2x2 + 3x + 5 = 0⇒ x = -3±9-404       = -3 ± -314       = -34 + 314j  ,  -34...

Q: Using summation notation, prove the Lagrange's identity: (Ã × B) · (Č × D) = (Ā · Ĉ)(B · D) – (Ā · D...

A: Given: Let us prove the given Lagrange's identity  A→×B→·C→×D→=A→·C→·B→·D→-A→·D→·B→·C→ using summati...

Q: Points D, E and F are midpoints. Point G is the circumcenter of AABC. Find the following measures. 1...

A: Given triangle ABC is  where D, E, F are the midpoints and G is the circumcenter of the ∆ABC. Circu...

Q: Carter rolls three dice five times, and records his totals below. 10 17 16 8 Carter's rolls have a m...

A: The sample standard deviation is calculated by the formula s=∑i=1nxi-x¯2n-1 Where xi denotes the giv...

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values o...

A: As linear programming function gives extreme values on corner points

Q: Мaxіmize Z — 4х — 10у Subject to х — 4y24 2х — у s 2 x >0 y 20

A: The problem is: Maximize Z=4x-10y subject to  x-4y≥4....(1)2x-y≤2....(2)x, y≥0 We will the given LPP...

Q: reply. Please type

A: The given formula is re-written as,

Q: A prism with a height of 5 cm is inscribed in a cylinder. If the base of the prism is in the form a ...

A: The volume of a cylinder is given as follows: Volume of cylinder=πr2h

Q: The graphs of f (z) and g (z) are shown 30

A: Introduction: The maxima and minima of a function are the function's largest and smallest values, re...

Q: ite a definite integra presents the exact of the cylinder and it.

A: Introduction: The formula for the are of the circle for the radius x is given by, A=πx2  

Q: The value of 'a', for which u(x, y) = xt + ax?y2 + y is a harmonic function, is

A: Solution

Q: If the sample space is C = C1UC2 and if P(C1) 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2). %D

A: Given Sample space = C = C1∪C2  P(C1) = 0.62P(C2) = 0.55

Q: rest rate of

A: Given, Ms. Drake invests $1000 at a simple interest rate of 8.5% for 2 years. The interest during th...

Q: A six sided die numbered 1, 2, 3, 6 is rolled once. If C denotes a set of even Q.1. numbers and C2 d...

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Q: MD and ME are tangent to the circle. Solve for x. 4x- 12 M 2x + 12 E

A: Consider the given figure. We have to find the value of x. Theorem:- If from one external point, two...

Q: An important and very useful exact differential to (2y² +2x² +y]dx - xdy = 0

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Q: The value of 'a', for which u(x, y) = x + ax?y? + yt is a harmonic function, is

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Q: aximize total revenue? (a) What price should have been charged to

A: Given as, Demand(q)=-4500+41500Revenue=Price×DemandRevenue(R)=p×q=-4500p2+41500p

Q: an be cauchy, prove why a subsequence of (an) must also be cauchy.

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Q: If à is a real number for which the system of linear equations x + y+ z = 6, 4x + hy – Az = 2 – 2, 3...

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Q: * Convert to atjb Form (e) 4230° (F) ㅋL-145° (9) 3L16°x5L-44°x 2L80° (m) 10 2 x 12 L (h) 니 -79 3 -7 ...

A: The given problem is to convert the given complex expressions of polar form to the rectangular form ...

Q: Q/ Find the equation of the tangent to the test subject y = Vsin 4x, %3D and passes through the poin...

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Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i z2 = 5e21 Z3 = 4 cis 40° ...

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Q: Find the LCM:24x and 8x"-16x

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Q: Draw the results of this problem, from a) to d) in Argand Diagram. Let: Z1 = 1-j³ Z2 = -2 + j5 Z4 = ...

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Q: FIND : X³ + 8i

A: Introduction: The formula for subtraction of cube of two numbers is given by, a3-b3=(a-b)(a2+b2+ab)

Q: 5 dimension as a submanifold of R' for somele N) of U(n)? Show that U(n) := {U € M(n,C) |U*U = I} is...

A:  We will use basic knowledge of differential topology to answer both parts of this question.

Q: The ratio of boys to girls at a winter dance is 5 to 6. If there are 90 girls, how many boys are at ...

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Q: n Problems 1- 6 solve sing an appropriate subst

A: Note: Since you have asked multiple questions, we will solve the first question (4) for you. If you ...

Q: 3z3 + 2 dz =? Y (z – 1)(z² + 9) |z – 2| = 2 7.

A: We have to calculate the contour integral ∮3z2+2z−1z2+9dz, where circle is given by z−2=2. First fin...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.