2. lim x--33 X f(x) ?

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the…

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Q: Problem 1. (a) Show that fi(x) = log(3x² + 5) is O(log x). Find the witnesses C and k explicitly.…

A: Concept: We have  f1(x)=log(3x4+5) is O(logx) that is it is the function of log(x)…

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Let f(x)=ln(x^2+4x+12) f'(x)f′(x) =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: The height of  the object,   s=-16t2+288t+9

Q: An area is bounded by y^2 =12x, x = 3. The area is located in the first quadrant. Calculate the…

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Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: (A) Graph y = 1.2x-2.7 in a rectangular coordinate system. (B) Find the x- and y-intercepts…

A: Here we have to plot the graph.

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: C- The result of the following limit is lim 1-0 sin t² t f

A: limt→0sin t2t

Q: C-the derivative is y = 0³ e 28 cos 50

A:

Q: 5. Use the Squeeze Theorem to evaluate lim sin z 2 1-00

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: for the angles ℼ/6, 5ℼ/6, 7ℼ/6 and 11ℼ/6, the following statements are given statement i) these…

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Q: Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: - 3x² + if x 1 a. Determine the value of a for which g is continuous from the left at 1. b.…

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Q: 3- Find the derivative of sinx +x/2+cos x.

A: A detailed solution is given below.

Q: 7 If sin t = and is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 9 tan (2 t)…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A: The answer is given below:

Q: 2- The order of equation 4y"" + 2(y")5-5xy = 0 is.

A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

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Q: use Green's Theorem to evaluate the f(x² - 3y) dx + 3xdy where C is a circle x² + y² = 4 and…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Here we have to use Euler's method to obtain a four-decimal approximation of the indicated value.…

Q: B) Find derivative of the following function d Gtana dx

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Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: 4 for the function below, the domain and the range is respectively -2+√1-x

A: You must have idea about how to find domain and range of any function. Domain of a function means…

Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = 10 1-x…

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Q: Determine the magnitude F, of the tensile spring force in order that the resultant of F, and F is a…

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Q: # dx -3 (sint) dt

A: We want to find derivative of the integral

Q: # 000000 JUUUO Find the area of the region enclosed by the graphs of y = √9-x² √9-x² and -0.1x + 1.…

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Q: The coefficient of (x - 1)5 in the Taylor series for a In x centered at x=1 is Hint: you can't do…

A: This question can be solved using the concept of expansion of Taylor series centered at x=c.

Q: B. Determine orthogonal $2435 if A=9i-6j-24k and B=(-15, 10,40) are parallel, or neither using dot…

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Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

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Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

Q: C- for the function below, the domain and the range is respectively y=√16-x²

A: We have to find domain and range of given function.

Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: fferential Eugh by finding tor. (6n +only)dy=0)

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Q: Find derivative of the 6tanx following function d dx

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Q: If acceleration is a(t) = sin(t) and initial velocity is v(0) = 3, what is an integral function that…

A: topic- integration

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: y = |x-2 (-00,00) & (-2,00) a O [-00,00) 8 the

A: We will solve the problem.

Q: WHich of the following represents the shell height if the shell method will be used to find the…

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Q: The function f in the figure satisfies lim f(x)=4. Determine the largest value of 8>0 satisfying…

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