Find lim X→∞ lim X→∞ 1 √x 1 √x X dt dt √√₁

Q: Evaluate the integral. [² (8t³ i- (8t³ i − 15t² j + 15t4 k) d dt 0

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Q: Suppose f(4) = 2 and f'(4) = -6. 1. The equation of the tangent line of f at 4 is t(x) = 2.…

A: To determine the equation of tangent and approximate the value of the function

Q: the answer is wrong it is supposed to be negative after x!!!

A: yes you are right   according to Taylors polynomials f(a)=f(a)+x-af'(a)+(x-a)22!f''(a)a=0

Q: Suppose the daily total cost (in dollars) of manufacturing x televisions is…

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Q: Find the value of the summation. 3 Σ (k2 – 2) - k=0 > Next Question

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Q: Given the vectors →u=⟨−3,2⟩ and →v=⟨−6,11⟩, find the angle (in degrees) between them. Angle between…

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Q: 8²ƒ f(x, y) = x¯¹ sin(x² * y), prove that equal: — x³ sin(x²y) дуг

A: We are prove the given

Q: why it was converted to RCS?

A: The CCS is converted to RCS system to get the vector BA.  The vector calculation is easier in RCS…

Q: 2 2 Find the area of the surface cut from the paraboloid x² + y² + z = 0 by the plane z = -20.

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Q: Find the critical numbers of the function. (a) y=x³(x-4)², x=(-∞∞) (b) g(0)=40-tan 0, 0[0, 2π]

A: (a) given function is  f(x)=x45x-42now    f'(x)=ddxx45x-42   f'(x)=45x-15x-42+x452(x-4)f'(x)=…

Q: a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write…

A: Given that f(x)=lnx. In order to find the expressioncn =fn(x) Differentiate the given function with…

Q: Find the volume of a parallelepiped if four of its eight vertices are. e A(0, 0, 0), B(1, 2, 0),…

A: Given; A(0,0,0), B(1,2,0), C(0,-3,2), D(3,-4,5).

Q: Find the partial sum, S7, for the geometric sequence with a = 5, r = 2. S7 =

A: Given query is to find indicated partial sum

Q: On graph (A) draw a function that is continuous on [-2, 2]. On graph (B) draw a function that has an…

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Q: L=¹{F(s)} = ? O Let F(s) = O f(t)=e-8 tsin(√7t) O None of the others O 1 O 1 s²+16s+71 f(t)=…

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Q: How to find min and max of a function using derivatives, explain process and why the process works?

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Q: Suppose that the position of one particle at time t is given by x1 = 5 sin(t),    y1 = 2 cos(t),…

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Q: A golf ball is hit horizontally at 50 m/s from the top of a hill that is 1.5 m high. If the terrain…

A: When the ball rolls off the edge of the hill, it will continue moving forward at 50 m/s until it…

Q: Suppose that F(x)=f(g(x)) and g(14)=2, g'(14)=5, f(14)-15, and f(2)=11. Find F(14). O 17 O 20 24 O…

A: Given query is to find indicated derivative

Q: The second derivative OF a certain function is 4X, the equation of the curve if its slope is -3/4…

A: To find the equation of the curve with the given characteristics

Q: Find the sum: 6 + 11 + 16 + ... + 76 Answer:

A: First term of the sequence, a = 6 Last term of the sequence, l = 76 Common difference, d = 11-6 = 5

Q: You would like to have $800,000 when you retire in 25 years. How much should you invest each quarter…

A: Given query is to find quarterly payment total amount deposited and interest earned.

Q: ) Let f(t)= e⁹t t6 + cos(7 t) e4t then L{f(t)} = ?

A: Given,            ft=e9tt6+cos7te4tTo find : ℒft

Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

A: we need to find out the exponential growth function and also the cost of the groceries in 2013.

Q: Show

A: Please refer to the image below

Q: Given the following functions, compute the composition (fog)(x). f(x) = 8x + 5 g(x) = 9x - 3…

A: To find (fog)x

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: A political scientist surveys 37 of the current 160 representatives in a state's legislature. What…

A: we need to write down the size of sample and size of population.

Q: 1 Find the slope of the crowe at given point P and an equation of the tangent line at P. y = 4-x²³,…

A: standard form of equation is y=mx+c,  where m is slope given point is  (-1,5)given  y=4-x3we know…

Q: whose center is located at the x axis? a) (x² + y²)dr + 2xydy=0 e) (2²-y)dz +2rydy=0

A: we have to find the differential equation of the family of circles that passes through the origin…

Q: Find the limits. 4x³+3x+1 x-7x²³² +2x²+x a) lim (b) lim √9x -x x²³+1 x³+x²³²+x x-xx²-x²+1 (c) lim

A: Here is the solution:

Q: Given the triangle 22/ X = 37° 16° answer to 4 decimal places. X 3 find the length of side using the…

A: To use the law of sines and find the value of x

Q: Find the first partial derivatives of the function. w = 4zexyz Əw Əx Əw ду Əw дz

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Q: Find the limit. 3sinx lim x+0x + 6xinx 。 흑 2 0

A: I=limx→0(3sinxx+6sinx)if we put x=0 than it is 00 form there for use L'hopital rule…

Q: The function f(x) Cưn 8 f(x) = Σ n=0 C4= Find the specified coefficients in the power series. C2 =…

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Q: Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x…

A: Given,           limx→0tan5x10xTo find : Use L'Hospital's Rule to find the limitWe kno that,…

Q: 17x 9 + 14x5-6x³

A: The given equation is; 17x9+14x5-6x3

Q: Iny y10 (b) S S dy

A: The given integral is:∫ln yy10 dy

Q: solid generated using the Shell Method. 1. The region bounded by y=x+1, y=0, x=0, and x = 1 is…

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Q: √² (2 − x)² dx

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: Given figure:-

Q: Evaluate the integral 24 2 (2³7) dz by making the substitution u = x5 - 7. > Next Question + C NOTE:…

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Q: A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be…

A: Given  M1 =400 M2 =900 Total Cost  = The cost of installing along the length D + The cost of…

Q: Question 6 Next Question > Consider the function f(x) = 8x8 + 7x7 - 7x¹ - 6. Enter the…

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Q: Pind the limit lim 848 (√7x² +10 -√7x²-3)

A: Recall the formula: limx→∞ c=c and limx→∞ ax2±b=∞

Q: So = 1 x²-8x+7 -da. If you like you may use the table to check your work, but show how to integrate…

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Q: 4. Find the following limits. In(x) x-1 1-e(x²-1) a) lim b) lim t→-5 c) lim √2t + 10 - 2 t-5 In(In…

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Q: Question 2 1/3x³-2²-5x + 1 dr Using Long Division to evaluate the integral

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Q: Write 2.734234 = 2.734234234... using geometric series showing it is convergent. as an improper…

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Q: 3. Find the following limit if it exists, or prove that it does not exist: x² cos y lim (x,y) →(0,0)…

A: To find the following limit if it exists, or to prove that it does not exist.limx, y→0, 0 x2 cos…