Q1/ Find of the following functions de 1) y=²-1 and x=21 +3 3) y=e* cos2x 2) y = sin(1+tan 2.x) 4) X³ + Y³ = 3XY

Q: Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0)…

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Q: Under High order linear differential equations Solve: y""+y" = ex cos x

A: Here, the given DE is: y'''+y''=excos x So, the auxiliary equation is: m3+m2=0⇒m2(m+1)=0⇒m=0,0,-1…

Q: Solve I need a clear answer by hand, not by keyboard | dybala (b) (x2+x-y²) dx - y dy <= 0

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Q: I cannot visualize this question. Could you please draw a graph and label all the critical points…

A: Given: First water level rose faster and faster, then rose more but slowly until it reaches its…

Q: I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps.…

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Q: Evaluate the indefinite integral [sin³ sint cos³ tdt =

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Q: Given the graph of the function f (x) below, use a left Riemann sum with 6 rectangles t approximate…

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Q: What is the first derivative of s(x) Select the correct answer below: O 12(28¹¹) O 28¹2 (31n 28+ O…

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Q: Evaluate 4 fa²¹ t tan³ (x5) dx

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Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: The interval [0,0] is closed. O True O False

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Q: LX X y = Cre²x cos 3x + Cze ²xsin 3x

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Q: K Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - ∞ and ∞o…

A: The graph of f(x) is given in question and we want to find the right hand limit of f(x) ar x= -2

Q: If ƒ and g are continuous functions with ƒ(5) = 2 and, lim[2ƒ(x) − g(x)] = 5 find g(5)

A: Given:- limx→52fx-gx=5 and f5=2if f and g are continuous functions then need to find g5

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 2)(√x - 2√x+3) y' = Need Help?…

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Q: (b) xy' - 4y = x, (c

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Q: 23-24 How would you "remove the discontinuity" of f? In other words, how would you define f(2) in…

A: We can remove discontinuity by removing or cancelling some term from numerator and denominator. As…

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

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Q: Maximize = 3X +7Y 2X + Y ≤6 4X +5Y <20 2Y ≤7 2X 27 X,Y 20

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Iff and g are continuous functions with ƒ(7) = 10 and limx→7 [2f(x) — g(x)] = 7, find g(7).

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Q: 15. d e f 9 h i a b C 'a b с de f =-6 g hi

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Q: Evaluate Lycos cos x sin³ x dx.

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the limit. √x² x² - 9 lim xx 5x 15

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Q: Solve dy/dx = x² + 2xy + y² + 2x + 2y, y(0) = 0.

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Find where y is defined as a function of x implicitly by the equation below. y³ + 2x²y5 = 1 O Select…

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Q: y = 16x³ + 4√√x +5x

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Q: ind a value of h for which 3.0 2.5 h = o in y 2.0 1.5 1.0+ 0.5 f(2+h)-f(2) h 0.5 1.0 Give your…

A: Given Graph:-

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: 5|x+7|+5>1/5 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 5 from both sides

Q: 1.) 'An= (n +4; give the first 5 terms.

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

Q: y = ln 1+sinx 1–sinx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: The point P(9, 6) lies on the curve y = √x + 3. 6.1 6 5.9 8.5 9.5 10 Q If Q is the point (x, √x +…

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Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: Find f'(x) at the given value of x using the limit definition. (The limit as h approaches zero of…

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Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: 1. Determine the critical points (maxima, minima, and point of inflection) of the function y = x(x -…

A: The given function is: f(x)=y=x(x-6)2=x(x2-12x+36)=x3-12x2+36x

Q: FOCUS ON 1. Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1),…

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Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: if x ≤ 1 if r> 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

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Q: 4

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Q: 12x-8y+11=0

A: We have to choose the correct option from the given options accordingly to the given information

Q: Is f(s, t, z) = st²e-² a solution to the differential equation: fzss=2fzzftt - (ftz)²

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: v=(√2x-4)G

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Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y=0,…

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Q: 7. Assume that f is continuous and differentiable on (-xx, o0). Consider the interval (a, b) where a…

A: Concept Used: Extreme value theorem: A function must possess a maximum and a minimum if it is…