Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6 cos 0, y = 6 sin 8 dx slope H = concavity: Select-- 8- V

Q: 3. Find the solution of the differential equation. 4y’’-4y’-3y=0 theme: repeated roots; order…

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Q: 5. Evaluate the integral. (Use C for the constant of integration.) sin³ (y)cos (y)dy

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Q: Determine whether S is a basis for the indicated vector space. S = {(1, 0, 0, 2), (0, -1, 0, 2), (3,…

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Q: Write this fraction as a decimal to 2 decimal places: 8.7/20.5 0.2175 To convert a fraction to a…

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Q: Find the volume of the solid of revolution formed by revolving the region bounded by y = f(x) = 2x -…

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Q: Find the particular function y given that dy dx = 7√x - 3x√x +7, when x = 1, y = 5 (Use symbolic…

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Q: Determine the amplitude of f(x)=sin(4x)

A: I have appended the formula used in the solution of the question.

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A: Let's solve by using newton's law of cooling.

Q: Learning Task 2. A. Solve the systems of equations by a) graphing b) elimination el substitution Eq.…

A: We have to solve the given linear equations.     According to our guidelines we can solve only one…

Q: 2x += 2 +플) Describe the phase shift of g(x) = -3tan 2x + an(2x What phase shift? O right left right…

A: Given problem:- Describe the phase shift of g(x) = - 3tan(2x + π/2)

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Q: Question 6 Find the area of a triangle PQR, where P = (-3, 5, 1), Q = (-2,-5, 3), and R=(2, 3, 5)

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Q: yP=Ae+Bex What yp

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Q: 7πT 6' expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0,…

A: x=ρ.sinϕ.cosθy=ρ.sinϕ.sinθz=ρ.cosϕ

Q: Find the area of the triangle. Round your answer to one decimal place. B = 111°,    C = 29°,    a =…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: र P=Ae+Bex What yp

A: We can answer the question as below.

Q: 1) The velocity function (in meters per second) is given for a particle moving along a line. v(t) =…

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Q: 4. [ x sinh x dx

A: ∫x sin(hx) dx

Q: Current Attempt in Progress Let a = ci + j and b = 7i+ 49j. Find c so that a and b are orthogonal. C…

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Q: Solve the following CDES by variation of parameters method: y" + 5y' + 4y = x² e ²x Ans:…

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Q: Find the Laplace transform of f(t) = t cosh 2tsinh 3t.

A: To find the Laplace transform of ft=t cosh2t sinh3t.

Q: Let f(x) = (x²-5)e¯* (x > 0). Find the critical points c that correspond to local minima. (Use…

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Q: Hnd an equation in spherical coordinates for the rectangular equation x² + y² = z² = 0 - Do not…

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Q: 42 1. Calculate the Laplace transform of f(t) = 1. 2. Calculate the Laplace transform of f(t) =…

A: Let's find laplace transform.

Q: The liquid base of an ice cream has an initial temperature of 85°C before it is placed in a freezer…

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Q: ASIC ( Determine the intervals on which the given function is concave up or concave down and find…

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Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

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Q: ve the separable differential e C 1 = x² + t d find the particular solution sa 0) = = - 2.

A: topic;- application of integration

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i - 8j as…

A: Suppose ABCD is the parallelogram with AB=i+j & BC=i-8j. So, the diagonals are AC and BD.

Q: Evaluate the following expressions. Your answer must be an angle in radians and in the interval π πT…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: dy The following differential equation is separable as it is of the form dx dy e6x + 5y dx dy h(y)…

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Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: Find the general solution of the following differential equation. y" + 2y + 5y = 0 NOTE: Use c, and…

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Q: Find cube roots of -64i. Graph each cube root as a vector in the complex plane

A: To find the cubic roots.

Q: Evaluate the following integral [Y*arctan(1/2)de

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Q: 13. Find the intersection of [x, y, z]= [-8,-3,-5] + t[1,2,-1] and [x, y, z]= [1,9,4]+s[2,1,7].

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Q: A test requires that you answer either part A or part B. Part A consists of 9 true-false questions,…

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Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 26 m/s on Mars,…

A: NOTE: Refresh your page if you can't see any equations. . the initial velocity is the gravity of…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at a given point in a unit direction.

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 35 m/s on Mars,…

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Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

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Q: □ Solve the following ODES by Undetermined Coeff. X 22X ● "Y + 5y + 4y = x 2² ● 4X "y - 16 y = 19.2…

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Q: 3. Use polynomial division to show that the general expression for the factors of the difference of…

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Q: Graph the following reciprocal functions. Start by graphing the function in the denominator. Show as…

A: Here we have to graph the given function

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt…

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Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: Find the shaded region in the graph. s 2 T y=4 y=3 cos x +1 x/6 X=- KIN x/3 2 л/2 2x/3 23 5x/6

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