Write the vector below in trigonometric form. f =< -√√6, -3v

Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: 11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high…

A:

Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: Create a limit evaluation problem that requires substitution with an answer of 1.

A: limit evaluation problem

Q: 4. Categorise (with reasons) the eigenvalues and eigenvectors of the following phase portraits. (a)

A: Given the phase daigram.

Q: 6. We are given 3 vectors: a =, b=, and =: Which pair(s) of vectors are parallel? a. b. Which…

A: a→=6,8,-2 ,b→=4,-2,4,c→=-3,-4,1

Q: A circular swimming pool has a diameter of 18 m, the sides are 3 m high, and the depth of the water…

A: Given: Diameter= 18 m Sides = 3 m  Dept = 3 m  Acceleration = 9.8 Density = 1000

Q: 23. Find the angle between the vectors u = [-9,1, 3] and = [0,2,-5].

A:

Q: (c) \P) 3-X _x(x2 + 2) - dx

A:

Q: 4. Determine the absolute and local extreme of each function on the given interval. a) f(x) = 2x³…

A:

Q: (A) Estimate the area under the graph of f(x) = 16 - x² from x = 0 to x = 4 using 4 approximating…

A: We have to find the area using the reimann left midpoint and right points of the rectang

Q: 2. Use first principles to find the derivative of each. a) f(x) = √2x-1 b) y = ///

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x the derivative is…

Q: timbre (1 E- 5) Determine whether the improper integral is convergent or divergent: (2²3)² dr -x

A:

Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

Q: A solid is formed by rotating the region in the xy-plane bounded by the curves y = 7x², x = 1 and…

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

Q: in (m) find the distance traveled. during interval 2 V (t) = + ² + 2 +-15 the given time 0<+≤5 m/s

A: Vt=t2+2t-15 m/s ,0≤t≤5 Graph

Q: 9>x>p 95x5+ 9>xsp O None of the other choices 9>* ( 6>xsto

A:

Q: 5. Find the minimum distance from the magnet and the wire depicted below using a projection and the…

A: We have to find the vector u that goes from the origin (magnet) to any point on the line, normal…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptotes, take…

Q: 5. a1 = 2, an+1 = = 2a-3

A: To calculate the first four terms of the sequence, starting with n=1. a1=2, an+1=2an2-3

Q: Write a polar equation of a conic with the focus at the origin and the given data. eccentricity y…

A: Given: Conic is ellipse, eccentricity = 14, directrix y=8 To find: Polar equation of ellipse with…

Q: Find the probability. A basket contains four apples and five peaches. You randomly select one piece…

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Q: Find the magnitude of the vector. Given answers in simplest radical form for magnitude. p =

A:

Q: Who State 1) The derivative of 2 is fis at c Weather Continuous at 6 V cách 13 3) if f'(c)=0, then f…

A: There are 3 statements. I need to state wheather it is true or false.

Q: Example 2: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: a)limx→1f(fx) limx→1f(fx)=flimx→1fx ⇒f(3) =2 limx→1ffx=2

Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e, where…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate is given by and the given…

Q: 3n²+2n-1 4) Determine if the series converges: 1 2n²³-3n²+4+5 [=1

A:

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A:

Q: Find the area of the region enclosed between ƒ(x) = x² − x + 7 and g(x) = 2x² + 1. - Area =

A:

Q: Calculate r' (t) and T(t), where r' (t) = 6 T(t) = ( 2 -4 r(t) = (7 + 6t, 5 — 4t, 2t - 5). " 2

A:

Q: : + 8)³ + (x + 8)−¹ for 1 ≤ x ≤ 2. Find the arc length of y = 1/2(x + (Give your answer to three…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: For the series given, determine how large n must be so that using the nth partial sum to approximate…

A: ∑k=1∞1k4;En≤0.000015

Q: 15 ves Evaluate the indefinite. integral: 2 S asin ²(x) cos (x)/x = 2 Sin (x)³ 3 3 + C

A:

Q: 1. Find the general anti-derivative of each of the following functions. (a) f(x) = 3x² - 4x + π (b)…

A: General antiderivative of f(x) is given by F(x)+c , where c is constant and F'(x)= f(x) Simply we…

Q: Set up, but do not evaluate, an integral for the length of the curve. x = 7 sin(y), "C osys ]) dy T

A: Recall: Length of the curve ,L = ∫ab 1+f'(y)2 dy Given that x=7sin(y), 0≤y≤π2

Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: Given that f"(x) = cos(x), ƒ'(π/2) = 7 and f(π/2) = 11 find: ƒ'(x) = f(x) = =

A:

Q: 8) Find the position vector r(t) for a particle with acceleration a(t) = (5t, 5 sint, cos 6t),…

A: The acceleration a→t=5t,5sint,cos6t

Q: 10) Find the equation of the plane containing the points A(-8,5,5). B(1, -6.2), and C(8,-6, 4).

A:

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 m² s. How…

A:

Q: Write the vector shown on the graph below as a linear combination of standard uni vectors i and j.

A: Graph

Q: Determine whether uand v are orthogonal, parallel, or neither. Explain your reasoning. (4,7), v =…

A:

Q: Given a = 6, b = 10, and c = 5, use the Law of Cosines to solve the triangle for the value of B.…

A: The sides of a triangles are a=6, b=10 and c=5.To find : Use the Law of Cosines to solve…

Q: Find the sum of the first five terms of the sequence. 1 a₁ = 5; an = n 1 1 n+1' n22

A: To find the sum of the first five terms of the sequence. a1=5, an=1n-1-1n+1, n≥2

Q: Find the volume of the solid constructed by rotating the region under the curve f(x) = e¯ on the…

A: Volume of solid generated by revolving f( x ) about x axis is given as  V = ∫abπy2dx Given function…

Q: Inx 2) Find the average value of the function g(x) = over the interval [1, e].

A: Given the function g(x)=lnxx over the intercal [1, e].

Q: 3. For a square matrix A, show that A and AT have the same eigenvalues. Give a counter- example to…

A:

Q: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

A: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

Q: (a) True or False: If f'(x) = g'(x) then f(x) = g(x). (b) True or False: If f'(-1) equals 0 then f…

A:

Q: graph the function f(x)= T 2 ax 2 X-4 if a 40

A: Given :-   f(x) = ax²/(x²-4)                   a &lt; 0 Now plotting the graph