Find the general solutions of the system. 200 14 -575x 002 x(t) =

Q: 6e at x-b First find where the two curves meet. y = 5e" meets y = 6e where b Then Area = - f(x) dx…

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Q: 4) A headboard for a bed is built in the shape of a semielliptical arch. The headboard will be 8…

A: Given; a=4, b=3

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: Determine the equation of the hyperbola with center (-1, −6), a focus at (−1, −16), and a co-vertex…

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Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

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Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: y = ln x and x-y-4 = 0

A:

Q: Find the average value of: f(x) = 9 sin x + 8 cos a on the interval [0, 8π/6] Average value=

A: The average value of fx=9sinx+8cosx on the interval 0,8π6

Q: 3. What is the height of the right circular cylinder with greatest volume that can be inscribed in a…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 244

A: Using formula of area of circle

Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0

A: On solving this we will get

Q: 1. A force vector has a magnitude of 23 N and makes an angle of 35° with the x-axis. What is the…

A: We know that, vertical component = y-axis

Q: Find the divergence of the following vector field: 00 O 2z O F = (y, -x + z², 3x)

A: We can solve this as follows:

Q: What is the average rate of change of y with respect to over the interval [3, 5] for the function…

A: topic- average rate of change of function average rate of change for linear equation is equal to its…

Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: What is the vector that results from transforming a by the transformation matrix? 5 ā= [ and B= -3…

A: The transformed vector can be obtained by multiplying matrix B with a→.

Q: + [ƒ(2)₁ Suppose that fand gare continuous functions such that 1 [ g(x)dz -3, find f(x)dx= 2 and +…

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Q: lin x→ Sin 2021x Sin 20222

A: We have to find the limit

Q: state whether the following series is convergent or divergent and state which test you used: an =…

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Q: Find all the values of x such that the given series would converge. 8" (x)(n+1) (n+8) n=1 The series…

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Q: find differential equation of the following equation 3) dy +xsin(2y) = x cos² (y)

A: Given

Q: Find the divergence of the following vector field: 0 O 2z O O F = (y, -x + z², 3x)

A:

Q: Let the vector v have an initial point at (5, −3) and a terminal point at (1, —8). Determine the…

A: Determine the components of vector V

Q: 4.) Find an equation for the plane tangent to the surface 9x² +4y² +9z² = 34 at the point (1,2,-1).

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Q: [u udv-uv- - [vdu to Explain why the substitutions below are inappropriate. Let dv =x dx 1. Suppose…

A: This questions uses ILATE  rule

Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: Question 13 Find the area of the region between the graphs of y=10-2² and y=-3z-30. The area is

A:

Q: Complete the Proof Statements Reasons 1. ABCD is a AC BD given 2. AD BC 3. 4. LABC = ABAD 5 ZDAB…

A:

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: The price per square foot in dollars of prime space in a big city from 2010 through 2015 is…

A: According to Bartleby guidelines I can only answer the first three questions given.

Q: T -2 -1 4 3 2 - -3 1 3. From the above graph of y = f(x), find the following limits: (a) lim f(x) =…

A: (a)  limx→-4f(x)=2   (b)  limx→-3f(x)=-2   (c)  limx→-2f(x)=-3   (d)  limx→1f(x)=infinite

Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

A:

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: The given function is: y=15x3+360x2

Q: Find the interval of convergence for The interval of convergence is a E esc # $ 2 9 20 W C 3 e L 4 r…

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Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

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Q: Define a vector field on the plane as follows: F(x, y) = (x + y², e³ + 6xy). Let C be the square…

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Q: sider the function p 3 of 3: Find lim f(x). x--6 f(x) = = lim f(x) x--6 Sx² + 12x + 22 19x + 100 if…

A: Topic:- limit and continuity

Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

Q: What is the component form of the position vector for a vector with an initial point of (-1,0) and a…

A: We have to find component form of position vector.

Q: 8 34) 2xe-x² dx <80 A) Convergent B) Divergent

A:

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: The Taylor series for f(x) = e at a = 1 isen(x − 1)". - n=0 Find the first few coefficients. CO C1 =…

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Q: (5) Σ.1 η=1 η! 102n-1

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Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A:

Q: Please

A: Please refer to the image below

Q: Find the area of M. == Let M be the region bounded by the parabola y (0,2) (-2,0) 4 0 L N ရာ T c…

A: Given problem:- Find M be the region bounded by the parabola y=(-1/2)x2+2 and the line y = - x - 2 .

Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y() = 0 O y = cos…

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

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