QUESTION 3 The equation True O False d²y dx² 1+ ( dy 3 dx is a third order differential equation.

Q: L'Hopital Rule use 9) lim x.cse² √√2x 1-0 sin x² x-x.sin x 10) lim

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Q: - 110 1 I 9

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Q: Find the derivative of the function. f'(x) = X 1= √x+7 f(x) =

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Q: 6. The region bounded by y=e*, y=0, x=0 and x = 1 is rotated about the y-axis. Sketch the resulting…

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Q: stimate f′(6) where f(x)=x^3−4x^2−20x−5 to within one decimal place by using a small enough…

A: given that f(x)=x3-4x2-20x-5then we have to find value of f'(6)

Q: ements ents Find the area given by: S In(x) dx Hint: integrating along the x-axis will require…

A: Introduction: The area under a curve between two points is found out by doing a definite integral…

Q: The distance (in feet) of an object from a point is given by s(t)=−2t^2+4 where t is in seconds.…

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Q: if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)

A: We are asked to find n(A∩B)

Q: ∫(12/x−13/12sqrt(x))dx=

A: Given integral ∫( 12x-13 )12x dx

Q: Find the indicated partial derivative. f(x, y, z) = eyz²; fzuz fxyz(x, y, z) = || X

A: To find the indicated partial derivative.

Q: Trigonometric Identities If sec = 5, find cot e. A. 66 B. C. D. 2 2答案 s 45 24 25

A: secθ=5we know secθ=1cosθsin2θ+cos2θ=1cotθ=cosθsinθ

Q: Find the indicated partial derivative. e7re sin(0) a³u ar²ae u = X

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Q: 6 a. For f(x)=, find an equation for the secant line through the points where x = 4 and x = 6. X 6…

A: (a)  f(x)=6xstandard form of equation is y=mx+cwhere m=slope=y2-y1x2-x1

Q: If sin a = O $1 O-4 01/1 √15 - 3√13 13 -0.54 2√13 13 7√/53 53 0.18 V5 1 4/5 and cos a > 0, find tan…

A: we need to find the value of tan α

Q: >) Sketch the graph of a possible function / that satisfies each condition: f(0) = 3 f(3) = 0 f is…

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Q: 4. Determine the value of k so that f(x) is continuous at x = 2. 2 k² - x², x < 2 f(x) = 1.5kx, x ≥…

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Q: 9. A cell phone plan charges $34.95 per month plus $9.9 in tax, plus $0.12 per minute for calls…

A: Let x be  number of minute used in a month

Q: The polar curve r(0) = 1-20 is graphed for 0 ≤ 0 ≤ T. Let R be the region in the third quadrant…

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Q: ion of a parabola given the vertex and the focus parabola with vertex (5,-5) and focus (7,-5).

A: Given vertex is (5,-5) and (7,-5)

Q: 14. Find the limits for the following functions by using L'Hopital's rule: 1) lim 5x²-3x 7r²+l 2)…

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Q: Find the horizontal asymptotes of f(x) = (12²+7)¹/6 • 2z1/3 (Use symbolic notation and fractions…

A: Please see the below answer.

Q: Let ả = and b =. Find – 2ā – 26. 1. V V

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Q: why does 2x-1=0 become x-1 = 0, why was it not devided by 2

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

Q: Check Score For the function, find the following. (a) f"(x) f(x) = (b) f"(5) 3 25 Need Help? Hide…

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Q: 3 Find the function g such that f o g = √5x-2 if f(x) = ³√x

A: Given Data : Here a function is given as f(x)=x3.   Required : We have to find a function g(x) for…

Q: Let R be the region in the second quadrant enclosed by the polar curve r(0) = 0 + sin(0) and the…

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Q: 22. 24. x Vx² - 4 dx ) Jo 0 dx (4-x²)3/2

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Q: Consider the following differential equation, To solve this differential equation, we must first use…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + 4y² − 2x − 8y + 1, D…

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Q: 13) 3 sin x +5 sec x tan x cos x dx

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Q: Suppose the position of an object moving in a straight line is given by s(t)=t² + 5t+3. Find the…

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Q: sider the following graph of the function f(x). (0,0)) (04) (2,0) (Click on a graph to enlarge it.)

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Q: Given the points A: (-6,-1,3) and B: (4,1,-5), find the vector ủ = AB u = <

A: Topic = Vector

Q: Explain why the function is differentiable at the given point. f(x, y) = 9 + e-xycos(y), (π, 0) The…

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Q: Find an equation of the line that passes through the points. (Let x be the independent variable and…

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Q: π/2 1 Evaluate ²¹² zdz r²dr sin u du

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Q: Graph the given piecewise function f(x) if x ≤0 if 0 2 f(x) = = {²- X- E 5 A (x - 2)² +1 3 42 B+ 5…

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Q: Find the quotient and remainder using long division x²-x³+x²²x+2 X²-2

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Q: 16. Evaluate the definite integral: e¹dx.

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Q: Example 5: (a) Show that the function f(x) = has a removable discontinuity at x = -2. x+2 (b) Define…

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Q: Find the derivative of the function using the definition of derivative. g(x) = √5 + 4x g'(x) = State…

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Q: 3 Construct a 3 x 3 nonzero matrix A such that the vector 2 is a solution of Ax = 0. A = [(1,2,3),…

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Q: 14) dx कर Vx2 - 8x - 9

A: Question - Evaluate the integral.

Q: ow many subsets of the set {1,2,3,4,5,6} have at least 3 element

A: *Note: As per Bartleby's policy only first question is answered. Question 1. The set is given as…

Q: Some time ago, a consultant formulated the following linear model of demand for online novels, where…

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Q: Consider the following equation. f(x, y) = y^/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = 1 =…

A: Here we have to find the gradient of a function.

Q: Consider the following: Integral of (x^2)/sqrt((x^2)-3) Apply the substitution to transform the…

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Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '∞'…

A: Given query is to find indicated limit.

Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, F'(1) = -1,…

A: The formula for the derivative of multiplication of the function hx=bxgx is: h'x=b'xgx+bxg'x

Q: Let f(x) be the function whose graph is shown below. м 1,0 Determine f'(a) for a = 1, 2, 4, 7. ƒ'(1)…

A: Let fx be the function whose graph is shown below. To determine f'a for a=1, 2, 4, 7.