1. Find the x-intercept of f(x)=(x+2)/(x+1) a) -1 b) -4 c) -3 d) -2

Q: cos t dx(t) dt + sin tx(t) = 2 cos³ t sin t – 1, - x(0) = 1

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Q: 1) Suppose that f(x) = sin x . Find ƒ' (). Choose the best answer. O 0.5 O sqrt(3)/2 0 0 does not…

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Q: (a) Find the largest number 8 such that if Ix - 3|< 6, then |2x - 61 < &, where & = 0.1. 8< (b)…

A: Given that, a) The largest number δ such that if x-3&lt;δ, then 2x-6&lt;ε, where ε=0.1 b) δ with…

Q: 36. If the initial population of bacteria in a petri dish is 30,000 and it grows 6 population of…

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Q: ermine lim -1- 2x³5x2 x² - 1

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

Q: 2. Let r(t) = sin(e)i + e'j + cos(e)k. Find the unit tangent vector, T(t). Simplify fully!

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: determine whether the following function y=c₁x +₂¹³ +21²²-2re* is a solution to the differential…

A: We can solve this as follows:

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: Let f(x, y) = x² - y² y-1 Sketch the domain of f on the xy-plane.

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Q: Solve the following differential equation. 4. (2x¹-2x³) dr +(4x²-61²7+217²) dx=0

A: The given differential equation is: 2x2t-2x3dt+4x3-6x2t+2xt2dx=0

Q: Show that f(x, y) = ln(eax + ey) satisfies fx(x, y) + fy(x, y) = a.

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Q: 11:56 < Notes Find the derivative of C(t)= (0.2t)/(3x-2)^5 0.2t divided by 3x-2 to the 5th ...

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Q: Name and sketch the graph of the following equations: Indicate the intercepts and the traces. 1. z…

A: It is the function of Cosine where the horizontal axis is the y-axis and the vertical axis is the…

Q: equation x^3dy - y(x^2 - y^2)dx= 0.

A: Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and its general solution is ∫Mtaking y as…

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

A: Let l1,l2 be the legs of this triangle and h be the hypotenuse. Then from Pythagoras theorem we…

Q: Given the initial value problem (4x3y - 18x2 + y)dx + (x4 +3y2+x)dy = 0; y(1) = -2 1. Determine if…

A: A differential equation of the form Mdx+Ndy=0 is called exact if ∂M∂y=∂N∂x The solution for the…

Q: The population of the world x years after the year 2010 is predicted to be 6.9e0.00743x billion…

A: NOTE: Refresh your page if you can't see any equations. . the population(in billion of people) is…

Q: Use the following information to answer the next question. The partial graph of the function f(x)=…

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Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A: The given region enclosed by the graph of: y=x2, y=8-x2, right of x=1 Axis of revolution is: y axis…

Q: 1 lim [ y→0 Lln (1+y) |- 1 sin y.

A: Given: limy→01ln(1+y)-1sin y

Q: 32. 11T 6

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Q: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for…

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Q: 2. y=2coshx; y"-y=0

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Q: Find limit or show that the limit does not exist

A: Find limit or show that the limit does not exist. (5). limX→0-x-2

Q: Determine if the following functions are homogeneous, and if so, of what degree? 1. z(x, y) = x5 /…

A: We need to check if the following functions are homogeneous, and if so,of what degree they are.1.…

Q: da (cos x tan z) =

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Q: Given the differential equation (4x2+y2)dx + x(x-2y)dy = 0  1. Verify that M(x,y) = (4x2 + y2) and…

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Q: 3. Determine whether the following function y = c₂x + c₂x³ + 2x²e² is a solution to the differential…

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Q: Show that f is continuous on (-infinity, +infinity) f(x)= { 1- x2 , if x less than or equal to 1…

A: A function f(x) is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a).Also we know that a…

Q: 2 9. The graph below represents the heart rate, in beats per minute (bpm) of a runner t minutes…

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Q: lim →0 Lln (1+y) sin

A: We are asked to find the limit of the function

Q: If f(t)=√√²+2√√3³, find f'(t).

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Q: Find the truth set of the predicate in the domain of integers. P(x): x^2 > x

A: The given statement is: P(x): x2&gt;x

Q: Use integration by parts to evaluate the definite integral In (x+2) dx

A: To evaluate the given integral using integration by parts.

Q: Subject: Differential Equation Use HOMOGENEOUS DE. Please have a clear and detailed solution.…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

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Q: If B is the adjoint matrix of 134 A= -5 -9 4 782 Determine the value of 2b+3b-4b 21 12 33

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Q: 10. f(x) = x²-1 x-1

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Q: What value should be assigned to f(c) to make ƒ right-continuous at x = c? (Give your answer as an…

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Q: (3x²y − 1)dx + (x³ + 6y − y²)dy = 0 subject to y(0) = 3

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Q: Find the cross product a x b. a =j+9k, b = 5i - j + 2k

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Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Mr. Smith lives halfway between Detroit and Chicago if and only if Mr. Robinson and Mr. Jones lives…

Q: Consider the region between the graph of y=-x²+2x+24 and the z-axis over the interval -5 ≤ x ≤ 6.…

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Q: When applying Lack’s principle to a whole bird population we can obtain an expression for…

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Q: how did you break up 3x-2 into 3/8(8x+4)-7/2? is there a method or formula to follow into deciding…

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Q: (a) Find the average rate of change of y = 3x² with respect to x over the interval [0, 2]. rave =…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: We have the sequence (√2 - √9), (√3 - √10), (√4 - √11),........... Find the general term of…

Q: Find the solution of the given differential equations. 4. y' y+1 y(3)=-1

A: The given differential equation is y'=x2y-yy+1; y3=-1 We have to find the solution for the…

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: To find out the peak of mountain for the given atmospheric pressure.

Q: en the differential equation 4x²+ y² dx+x\x-2y dy=0 Verify that M(x, y)= (4x²+ y²) and N (x, y) = x…

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