If h(x) = (1 + 4) 4) 7x I find lim h(x). X→∞

Q: A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base…

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Q: K Find the linearization L(x) of f(x) at x = a. 2 f(x)=√x² +11, a=-5 1 L(x) =

A: according to bartleby guide line we do only first part og multiple questions f(x)=x2+11  ,…

Q: Find the area of the region under the curve y = f(x) over the indicated interval. 6 1) 5/2 i f(x): =…

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Q: Approximate the sum of the series correct to four decimal places. (-1)^ 4^n! S≈ 00 n = 1

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Q: Find the following limit. lim

A: according to bartleby guide line we do only first part of multiple question (1)…

Q: Find the curvature of r(t) = (7t, t², t³) at the point (7, 1, 1). 697 K = (20) X

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Q: | dy dx sin √√x √y

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Q: A particle moving in a straight line with a velocity (in m/sec) given by v (t) = t²2t-3. Determine…

A: Given velocity function v( t ) = t2 - 2t - 3

Q: 85,000 is deposited in a saving account with 6.35% annual interest. When will be the initial sum…

A: To solve this problem, we can use the formula for compound interest:

Q: Determine, without solving the equation, the interval where the solution is guaranteed to exist for…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  divide both sides by

Q: im confused on the last part:  What will be the size of the population after three doubling times…

A: NOTE: Refresh your page if you can't see any equations. . the initial population is 30 thousand

Q: If b and t are real numbers such that 0 < t < b|, which of the following infinite series has sum…

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Q: Find the derivative of the function. F(0) = arcs arcsin✓sin(150)) F'(0) = =

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x² − 1)³,…

A: f(x) = (x2 - 1)3 Interval = [-1 , 5]

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts method

Q: 2 6² 6² S (3x + 4y) 5dxdy 0 Find

A: We need to evaluate :

Q: The cost, in thousands of dollars, of airing x 30-second television commercials during a major…

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Q: Find the linear function with the following properties. Answer f(x) = f(0) = -6 Slope off = -4…

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Q: Use the substitution y=x' to find a general solution to the given equation for d²y 2 dx² 3 dy x dx…

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Q: 2 X 1 -2 -1 2 15 14 13 12 11 10 9 Z Find the surface area of the portion of the bowl z = 9+ x² + y²…

A: We have to find the surface area of the portion of the bowl.

Q: A manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

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Q: The sum of two non-negative numbers X and Y is 24. Determine the values of X and Y that minimize the…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have given the dimensions of the cardboard sheet i.e.   length= 11 in.  breadth = 7 in .

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: Topic: Differential Equations A tank contains 80 gallons of brine with 5kg of salt. Another brine…

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Q: 3t Find the linearization L(x) of f(x) = cotx at x = 4 The linearization is given by L(x) = Type an…

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Q: Find an equation of the plane through (– 5, 2, — 6) that is perpendicular to the planes 4x − y + z =…

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Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

A: The given data is: 7x+y+z=1Tx,y,z=xy+8z+20

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: Let radius of cone =r feet Let height of cone =h feet

Q: Use the method of Laplace transforms to solve the given system of initial value problem. y(0) = 1…

A: The answer is in step 2.

Q: 7) 1 ƒ(x) = — - - 3² - 1 3 -6 2 Ay 18 16 14 12 10 8 61 2 2 6 x

A: Given function:- fx=13·3x-1

Q: n Σ (3 + 2k) = ΙΝ k=1

A: We need to find the value of ∑k=1n 3+2k2

Q: Let f(x)=x²-c² and g(x) = c²-x² Find c> 0 such that the area of the region enclosed by the parabolas…

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Q: 8 1. Σ n=1 (80) 92n

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Q: Solve the​ triangle, if possible. a = 100 m, A = 13.15°, C = 27.07°. Find if there is one or more…

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

Q: Use the first derivative test to find the location of all local extrema for the function given…

A: Given function f( x ) = -8x65 + 4x25

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500 yd…

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Q: 1) y = 5 · 2* -6 -4 -2 Ay 20 18 16 144 121 10 8 하 # 라 2 4 6 x

A: Please see the below picture for detailed solution.

Q: 7. A ship sails South 2 km, then turns West. If it sails at a rate of 10 kph, find the rate at which…

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Q: Let F(1) = ƒ(ƒ(1)) and G(1) = (F(1))². You also know that ƒ(9) = 7, ƒ(7) = 3, f'(7) = 9, f'(9) = 9…

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Q: a) y ' — 2xy = x b) y' + sin(x)y=sin(x)

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Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: According to question, Given information, We have given the cost of east and west sides fencing is…

Q: is there no step 3 to this solution? and why does it end like that like what exactly would be the…

A: There is no any step 3. i am going to derive equation again.

Q: Let f be the function defined as follows. y = f(x) = √5x + 2 V (a) Find the differential of f. dy =…

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Q: Sketch the graph described by the following spherical coordinates in three-dimensional space. p=7

A: We need to sketch the graph described by the equation ρ=7

Q: Find the direction of BC in standard form. Note: There are TWO (2) correct answers! -18.435° 116.565…

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

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91, b] are collinear.…

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Q: based on the following table, which lists interest rates on long-term investments (based on 10-year…

A: By formula, Amount after t years with Compound interest is A = P(1+R/100)t Where  A:- Amount after t…

Q: 41. y = x - 4x x +1' [0, 3]

A: Here is the solution:

Q: Consider the function f(x) = 10√x + 7 on the interval [2,5]. (A) Find the average or mean slope of…

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