Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: 3. The value of a certain baseballcard (in dollars) tyears after 2015 varies according to the…

A: Given function describes value of card t years after 2015

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: choice - Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus says:  a) The…

A: The Fundamental Theorem of Calculus says.

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

A: The solution is given below

Q: For the function f(x, y) = 2x² – 3xy + 8y² + 2x – 4y + 4, find a tangent vector to the level curve…

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Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: 1. Find the average value of f(x) = on [0, 1].

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: 7ェ +8 If f(x) = find: 4x +3 f'(x) = !! f'(4) =

A: The objective is to find f'(x) and f'(4).

Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

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Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | a(56…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: The given data is: ∫025x+10x2+4x+4dx

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: f(x,y) = 3y3 – 2xy + 12y – 3x² – 8x – 16 then fy equals ух

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Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

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Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

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Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

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Q: A. Examine the function for relative extrema and saddle points 1. f(х, у) 3 х2 - ху — у? — 3х — у

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Q: Given f(r) = 7T, find f'(1) using the limit definition of the derivative, f(r + h) - f(x) f'(x) =…

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Q: Vtan(7x) sec?(7x) dx

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

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: II.IDENTIFICATION. Identify the terms being described by the following statements. Choose your…

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Q: fy any asymptotes, ex

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Q: 10. xy' + 2y = 6x²/y

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a…

A: Solve the following

Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Differentiate the function f(x) = x^1/3 f'(x)=

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

Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Find the value of m for which the equation x' + y? – 2y + 4x –m = 0 represent a point. O NONE OF…

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Q: P(t) = P,elin(2) · t) where t is the number of subdivision periods (time), and P(t) is the size at…

A: Given P(t)=P0  et ln2

Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…

A: gx=5x-x3hx=3x+4fx=5x-x33x+4

Q: Horizontal Asymptotes. Find the horizontal asymptote of f(x) 4 x²+4 = O y = 3 O There is no…

A: The given function is: To find the horizontal asymptote.

Q: n(3n – 1) - 1+4+7+...+ (3n – 2) =

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Q: 2- 4 The graph of f is shown in the figure above. If , f(x)dx- 2.3 and F'(x) f (x), then F(3)-F(0)=

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Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32