Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2

Q: Prove that lim (4x2 – 25) = -9 x-2

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between charac...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: Find the product z,z2 and the quotient 2. Express your answers in polar form. z1 = 3(cos(250°) + i s...

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Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = mx + b; a = 67

A: Given that fx=mx+bSolution :fx=mx+bf'x=m

Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

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Q: Analyze and sketch a graph of the function. Find any Intercepts, relative extrema, points of inflect...

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Q: Obtain the general solution to the following separable ODES; if there is an initial condition given,...

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Q: DO NOT include spaces in between characters. * Compute (x' + 2x)* Со at x=-1. 15 Your answer

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Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x ...

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Q: In Exercises 19-24, find the absolute maximum and minimum of the function subject to the given const...

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Q: 4) Confirm the results of the Fundamental Theorem of Linear Algebra for each of the matrices A and B...

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Q: Given y=(3x +6)| 2x- Find the value y' at x = 4

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Q: DO NOT include the variable in your answer. Given the graph off'(x) below, what is the slope of the ...

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Q: 3 + 6.4x. Let f(x) We will use the interval bisection method to find an approximate solution to f(x)...

A: Solved below

Q: a = - i+ i+ w = i+

A: Given query is to find the the vector form the graph.  

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2 

Q: y = 100(1 – e-0.451t). (a) What function gives the instantaneous rate of change of the concentration...

A: Given query is to find the rate of chnage for the function.

Q: 3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at t...

A: dTdt=-k(T-T0)∫ dT(T-T0)=∫-k dtln(T-T0) =-kt+ln CT=T0 +C e-ktat t=0;T(0)=21°CT0 =-6°C21=-6+CC=27T=T0 ...

Q: 1- cos?t lim t-0 t

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Q: Tim Vaxi+ x

A: We have to evaluate  limx→-3 2x4+x2.

Q: Consider the region R bounded by the curve y = In(r), the r- axis and the line r 5. Determine the fo...

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Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: A third-order Euler equation is one of the form ax y"" + bx y" + cxy' + ky =0, where a, b, c, and k ...

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Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation....

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Which of the following sets are the empty set? {heart, spade} N {joker, wild, reverse} {heart, spade...

A: topic - sets  intersection of sets is the set thta contains elements common to both sets. union of s...

Q: The table below shows the number of accidents, fatalities, hours flown, and miles flown for a countr...

A: Given: Year Accidents Fatalities Hours Flown (millions) Miles Flown (billions) 2004 49 95 1...

Q: x" у" +3ху'+.75у%3D0 У(1) %3D 1 У(1) %3D-1.5

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Q: For items 5-7: Given that f(x)dx = 3 and g(x)dx = 4, evaluate 5. [4 f(x)– 3 g(x)]dx А. 12 В. О С. 24...

A: Let's find. 

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: dx T² + 4 2

A: We have to find value of indefinite Integration.

Q: Your factory is going to manufacture a rectangular container which has a fixed capacity V, with a sq...

A: The Volume of a box with a square base  x by xand height  h is V = x2hh=Vx2The amount of material us...

Q: Consider the following limit. 6x2 + x - 1 lim x - (-1/2)+ 10x² - 5x - 5 Simplify the rational expres...

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: Evaluate the following limits:  lim x→0 sin(3x)/5x^3-4x

A: limit

Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

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Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: 2х2-8х+7 x 0 х-бх3

A: The given function is: f(x)=2x2-8x+79x2+5x-3, x≤0-4x3+6x2-15x-6x3, x&gt;0

Q: Consider the following. f(x, y) 3e% sin(y) Find Vf(x, y). Vf(x, y) = %3D Determine Vf(x, y) at the p...

A: f(x,y)=3ex siny∇f= ∂f∂x i + ∂f∂y j∇f=3sinyddx(ex) i +3exddy(sin y) j∇f(x,y)=(3ex siny, 3excosy)at 0,...

Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: E. The lateral area right circular cone a is radius r and he ight h guien by A=TrvrZ+h? • at the The...

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Q: Suppose that the total cost (in dollars) for a product is given by C(x) 1700 + 160 In(2x + 1) where ...

A: To find the marginal cost function.

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievan...

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Q: The sum of a geometric series is as follows: S = 1.0 + 1.1 + 1.21 + 1.331 +... up to 50th term. Dete...

A: SUM OF GEOMETRIC SERIES