Oppgave 1 Bestem om disse konvergerer eller divergerer: a) {(en)-¹} b) c) n

Q: (a) ln e-1 (b) en 4 (c) eln √4 . (d) In =C 1 e5

A: Power Ruleloga⁡mn=nloga⁡mNumber Raised to Logaloga⁡x=x−logb⁡a=logb⁡1aloga⁡a=1

Q: Consider the following. ₂ (t) = (30, ², ³), ₂(t) = (sin(t), sin(St), 4t) Find r(t) and r2(t). r'₂…

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

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Q: A force.of.320.lb..is required to hold a spring stretched 5 ft beyond its natural length. How much…

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Q: The line of intersection of the planes x+y+ 2 = 0 and x - y = 0 is Or(t) = (t, t, 1 - 2t) OF(t) =…

A: x+y+z=0x-y=0

Q: 2. Let f(x)=√x + 2 and a = -1. a) Find the derivative of f(a) using the limit definition lim h→0 b)…

A: All the questions are solved below

Q: If r(t) = cos(-5t)i computer' (t) = + sin(−5t)j + Ok i+i+ k k+C and fr(t) dt = with C a constant…

A: we are given a vector function and we need to compute its derivative and integration.

Q: Evaluate the integral 0.8 da √1-²

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Q: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: P(t)=(674)3^t/2

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.5% per year. That…

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Q: 9. X f(x) 2 -2 6 1 9 8 10 -4 15 3 The function f is continuous on the closed interval [2, 15] and…

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Q: 3. Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: g(x)=x4−18x2+7Using the power Ruleddxxn=nxn−1

Q: of a Find the velocity and position vectors particle that has the given acceleration vector and the…

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Q: (a) Show that if n € N, then <¹dr. n+1

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Q: Let f(x) = x+0. Complete the equation below for the line L tangent to the graph of fat x = -6. x-1…

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Q: Find the first partial derivatives of the function. z = (2x + 9y)7 əz дх əz ду 11

A: The objective of the question is to find the first partial derivatives of the function z = (2x +…

Q: If u=(−3,2)�=(−3,2)  and v=(−3,3)�=(−3,3)  then proju(v)≈

A: The objective of this question is to find the projection of vector v onto vector u. The projection…

Q: The radius of the spherical balloon is increasing at a rate of 4 inches per minute. At what rate is…

A: Let V be the volume of the spherical balloon. Let r be the radius of the spherical balloon.

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + y² + x²y + 8, {(x, y)…

A: The given function is

Q: Consider the region in Quadrant 1 bounded by y=x^2 +1, y =5, andthe y-axis. Find the volume of the…

A: The objective of this question is to find the volume of the solid obtained by rotating the region…

Q: Say that (a) [ f(x) dx = a³. Evaluate the following integrals. f f(x) dx = -72 6π/4 (b) [07/*…

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Q: If a ball thrown vertically upward from the roof of a 48 foot tall building with a velocity of 32…

A: We are given the height function for a ball that was thrown vertically upward. We need to find out…

Q: The function C(t)=C0(1+r)^t models the rise in the cost of a product that has a cost of C0 today,…

A: The Present cost of boat is The Average inflation rate is  for 2 yearsTherefore, we have to find the…

Q: Solve the initial value problem for r as a vector function of t. dr 9 1/2, 1 t+1 = 2 k dt (t+1) i…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Given that Minimize Subject to

Q: Let F(x) = X S 12 Enter the exact answers. (a) F(12) = i (b) F' (12) = 2 √² + 25 dt. Find the…

A: Let . To find the following.

Q: The concentration C(t) of a certain drug in the bloodstream after t minutes is given by the formula…

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Q: y-values 9* 8 7 6- 5 4 6 3 2 1 If f(x) = = f'(3) = 1 g(x) h(x)' g(x) 2 3 x-values then 4 5 y-values…

A: Given that

Q: items ind the maximum profit.

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Q: Find the area between the curves Area = x = y² - 2y +36 x = -y² - 20y

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Q: Z-1-21 b) lim Z10 c) lim 240 (1m²) ² 121²2² does not exist (Rez)² 12-1

A: To find:-(b) (c)

Q: A dam has a rectangular base 1400 meters long and 160 meters wide. Its cross-section is shown in the…

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Q: Find the value of x * in the interval [3, 6] that satisfies the equation b fro a in the Mean-Value…

A: To find all values of  in the interval  that satisfy the equation The given function is .

Q: Calculate r' (t), T(t), and T(2) where r' (t) = {| T(t) = ( T(2) = ( 9 r(t) = (2t², 2t¹).

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Q: 1 a cos x + b sin x + c a, b, c > 0, c> a, c + a c - a dx 9 where b с a 2

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Q: A function and its graph are given. Use the second derivative to determine each of the following.…

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Q: Let v= (-4, -4, -3) Calculate: vxi= ( vx j= ( vxk= " "

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Q: response.) Inequality x + y 2 1 x ≤ 5 y ≤ 9 x + y 2 1 X ≤ 5 y ≤ 9 x ≥ 0, y 20 x ≥0 y ≥ 0 Two Points…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…

Q: Find the derivative of the vector function r(t) = ta x (b +tc), where a = (-5, -1, -1), b = (-2, -4,…

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Q: Let f(x) = 1 + 1/2. (a) Find the arithmetic average of the values f(1), ƒ(½), ƒ(1³), ƒ(¹½⁄), and…

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Q: When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the…

A: PV1.4=KPressure by stream =140lb/m2Volume expanded from  500in3 to 1200in3Formula for work done by…

Q: Let f(x) = -4x5√x + f'(x) = -22x 72 9 - 35 22x 5 x³√x 9 X

A: solution given below

Q: For a 30-year house mortgage of $275,000 at 4.8% interest, find the following. (Round your final…

A: The objective of this question is to calculate the amount of the first monthly payment that goes…

Q: 15) Integrate Sdx x²+25

A: since you have asked multiple question in single window and as per guideline only one question is…

Q: Use the alternative curvature method formula k = |v x a|/|v|3 to tind the curvature of the following…

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Q: Find the equation of the plane which passes through O and is parallel y+z= x+ (3x + y) = 6

A: Given:plane To find:Equation of plane that passes through O and is parallel to the given plane.If…

Q: Sketch the region under the curve y = x² + 5 and over the interval [0, 9] and find its area. area =

A: Given that the curve y=x^2+5 and over the interval [0,9] we have to find the area of the region

Q: Find the area under the curve y = ƒ (x) = 3√x over the interval [16, 64]. Enter the exact answer.…

A: Solution is following in explanation step.

Q: Question content area top Part 1 Find the equation of the line tangent to the graph of f left…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

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