(a) Evaluate the limit 9n²-n+9 lim n o 13n2+8n+15 Enter the exact value for your answer. 数字 (b) Evaluate the limit

Q: ich of the following functions have at least [x)=-x+ (x) = x ƒ0=(1) f(x)= log₂x f(x) = cos x a) ii…

A: Topic:- calculus

Q: If ƒ(2)=4, ƒ(5)=8,g=3 and g(3)=2 determine ƒ(3) .

A: The given function values f2=4, f5=8, g1=3 and g3=2 we need to find the value of fg3

Q: A circle can be defined by an equation x² + y² + ax +by+c= 1. Find an equation of a circle that…

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Q: ng on 23 March 2012. $ Receipts 21.096 10.814 Days 21 35 49 63 77 91 105 119 4.505 2.311 1.072 0.624…

A: Topic:- rate of change

Q: cos (5) cos(3x) dx = - Jeigh Ch JAS (no (D) 2

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Q: For each of the following, perform the indicated operations on the vectors a = 4j+3k, b = -2i- j-4k,…

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Q: Perform the test for exactness and determine whether the following differential equation is exact or…

A: Exact differential equation

Q: Find the distance between the pairs of points in exercises A) (0,0,0) and (2,-1,-2) B)…

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Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: Using the function f(x) = − 4x² + 6x + 1, find the slope over the interval listed below: - [-9,5] m=

A: Please refer to the image below

Q: Consider the helix r(t) = (cos(1t), sin(1t), −1t). Compute, at t = 픔 A. The unit tangent vector T =…

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Q: Given the function graphed in black below, 6

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Q: Solve the following initial value problem: = y(-1)=2

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Q: For the function h(x) = 2(6x+7), find two functions f(x) and g(x) such that h(x) = f(g(x))

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Q: An arrow shot into the air is 50t-4t^2 feet above the ground t seconds after it was released. During…

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Q: the p 35) A building 240 feet tall casts a 30 foot long shadow. If a person stands at th shadow and…

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: Show that the surface area of a sphere with radius a equals 4ra². r(u, v)= (a sin u cos v, a sin u…

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Q: - (³77) 5³ where s denotes the length of the edge of the cube. Find ß. V(s) =

A: Concept: Cube: The whole three-dimensional area occupied by a cube is its volume. A cube is a solid…

Q: i) Use the substitution v to find the general solution to dy xy = dr x² + 6y².

A: Note: As per our company guidelines we are supposed to answer the first question only as they as…

Q: Find an expression for a cubic function fif f(1) = 36 and f(-5) = f(0) = f(2) = 0. f(x) = Need Help?…

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Q: 8. Evaluate a) 1 729 3 (221 (9) -1) X 1 b) 1 이름 이영

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Q: The table of values for f(x) = x³ and g(x) = x³ - 2 is shown. Now, use this information to complete…

A: The given functions are fx=x3 and gx=x3-2 To find the transformation of gx from fx

Q: Compute the angle between the vectors + j − k and - i- j - k. angle = radians (Give your answer in…

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Q: 19) Find f' if f(x)= sec² x 83√x

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Q: 2. The following represents a function:

A: Here we have to determine whether the given mapping is a function or not. We have,

Q: (c) P is the plane through p= (2, 2, 1), = (2, 1, 2) and F = (1,0, 1); Q is the plane through = (1,…

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Q: Evaluate the definite integrals using the graph of f(x) below. (a) (b) (c) [³ f (x) dx = 5 [³ f (x)…

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Q: 1-A) Express the result of the following complex number expressions in both rectangular Re+j Im )…

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Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: Find the exact value of cos -(-42) -(-2)-0 (Type your answer in radians.) COS

A: To find the exact value of cos-1-22.

Q: The unit vector of = [5, 13, 7] is: ( 5 13 0(5) 07 5 0 ਦੀ s, ਹਨ) √455' √455 7 455 93 ' v3 / Vi

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

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: Match the parametric equations with the graphs labeled A - F. As always, you may click on the…

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Q: 14) Using Newton's Method, find the zero for f(x)=-es-x+4,Xo = 2

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Q: Calculate the integral of f(x, y, z) = 3x² + 3y² + zª over the curve c(t) = (cos t, sin t, t) for 0…

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: If r(t) = cos(2t)i + sin(2t)j - 4tk, compute the tangential and normal components of the…

A: We have to find tangential component and normal component

Q: 7) The first derivative of a graph is given below. Where is f decreasing? f have a Aur A B

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Q: y=8x-x³ 12) Where is the function concave down?

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Q: (b) Find the volume under the paraboloid z=x+y² above the triangle enclosed by the lines y=x, x=0…

A: To find the volume of the given solid.

Q: Evaluate the following integrals. [e² sec ³ (eª) da 1 2 6 tan¹ x dx I 3 4 √9-w² w² dw pln(4/3) et dt…

A: Given data:- ∫x2dxx2-152, x>1

Q: Solve the differential equation y' = (A) 2x + e^xy - y^2 = c (B) x + e^xy-2 y^2 = c C) 2x + e^2-…

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Q: Suppose an object is fired verticall- upward from the ground with an initia velocity of 96ft/sec.…

A: Topic:- calculus

Q: y the identity. 1 + cos x . = (cscx + cotx)2 1- cos x erify the identity, start with the more…

A: We are asked to verify the identity

Q: 1.4 1.5 1.6 Will the Anderson family make a surplus or deficit for the month of June? Show…

A: Given: Total income and total expenditure.

Q: If q (x) = ln (6x² + 2x+2), find q' (x). O 12x + 2 In(6x² + 2x + 2) O 3x² + x + 1 6x +1. 6x +1…

A: The given function qx=ln6x2+2x+2 use  the derivative formulas, ddxxn=nxn-1ddxa=0ddxln…

Q: The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of…

A: We have to find the value of j.

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

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