Find the angle between the vectors (6, 30√3) and (30√√3, 12). (Express numbers in exact form. Use symbolic notation and fractions where needed.) 0 =

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A: Topic:  Limit and Continuity   The answer is given below:

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Q: t f(x, y) = x² cos(xy). ) Determine f(x, y). Determine fy(x, y). Determine Vƒ(1, π).

A: Topic:- application of derivatives     Note:- as per our guideline if more than three subparts…

Q: 3x2 + Sv 을 가

A: Given Expression:- 3x-12+4x12+x32

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Q: Evaluate the given integral. Use exact values. 52+17 (x+3)(x + 4) √ dx = Question Help: Video Add…

A: Topic:- application of integration

Q: B. 3y² + 2xy = 8 dy dx m TL Equation of tangent line m. NL Equation of normal line

A: Given equation of curve:- 3y2+2xy=8

Q: f(0) =2, lim f(x) = 2, lim f(x)= lim f(x) = ∞o, lim f(x)= ∞o, and lim f(x) = -00 X4±8 x+37 x-3* X-3+…

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Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

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Q: 3. Find the derivative of each function. Use proper notation, and simplify your answers. Thi…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: K Suppose that lim f(x) = 13 and lim g(x) = - 10. Find the following limits. X-6 X-6 a. lim…

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A: Let Persent number of bacteria =x Rate of grown number of bacteria=dxdt

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Q: 618 x 99 6182

A: using simple multiplication

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.)…

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Q: 13. Find the point (x, y) on the curve y = x² + 1 that minimizes the distance to the fixed poi (4,…

A: Given curve:- y=x2+1 We know distance between points x1,y1,x2,y2d=x2-x12+y2-y12

Q: 12 лухари у-х2-2х-я сил не 2x-9 and the tangent to the wave curve at the point whose X- coordinate…

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Q: A business buys a computer system for $12000. The value of the system is depreciating and decreases…

A: We need to find out the value at the end of 3 years.

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Q: 1. Find the general solution: y"

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Q: f(x)= 3x² 4 ln (x²)

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Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

Q: Find the limit. lim X-1 lim X-1 √√x²+3-2 X-1 √²+3-2 x-1 = (Type an integer or a simplified…

A: Solution: Let the given limit is

Q: If the demand function for math self-help videos is given by 650.7x, and the total cost function to…

A: If the demand function for math self‐help videos is given by 65-0.7x, and the total cost function to…

Q: (x⁹ + x4)dx (x5 - 5)1⁰ s

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Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

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Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity qq of this fabric (measured…

A: I am attaching image so that you understand each and every step.

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A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: At what points is the function y= x+3 2 xỉ - 5x+6 continuous? Describe the set of x-values where the…

A: We can find the x-values where the function is continuous in the below steps.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 38. y=(x²-2x+5)(x²+2x+5)…

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Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 4 5,3 17.2 S =…

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Q: Solve the problem. Find an equation for the least squares line representing weight, in pounds, as a…

A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

Q: Evaluate the integral. (Use C for the constant of integration.) in² (7) dt

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Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: (cos x-cosy-cotx) dx-sinx.

A: Topic:- differential equations

Q: . Find equations of the tangent lines to the curve x-1 x+1 that are parallel to the line x - 2y = 2.…

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Q: 9-x² x 3 7₁ x=3 b. Find lim f(x) and lim f(x). X-3* X-37 c. Does lim f(x) exist? If so, what is it?…

A: On solving this we will get

Q: 2 1. (2xy-3x²) dx + (x ² + 2y) dy = 0

A: 2xy-3x2dx+x2+2ydy=0

Q: Find the Laplace transform of the following: (b)sin 2t + Ans: (b) 2 3 cos 3t 2 2 13+4+3² +9 2

A: I am attaching image so that you understand each and every step.

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION

A: Given expression, Solve 1+x2dydx=1+y2

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A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Find the general solution: sin 2x tan² x y

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