Find the linearization of the following function, at theta = pi/4  f(theta) = sin(theta) cos(theta)

Q: Sketch the region of integration and evaluate the integral. 3 x² S S - 2x dy dx

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Q: Given f(x) = ln(3x2 + 8x + 2), find the equation of the line tangent to the graph of f at x = 0.

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Q: Verify that the given differential equation is exact, then solve it. 10x 24y 16y 5x (3) dx + X y 4 X…

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Q: Evaluate the integral. +C 3x + 0 x² - 4x + 20 da

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Q: x 16. Evaluate sin dx. f x +C O O- 1 3 cos³x 1 3 cos³x 1 2 cos²x 1 O- + C +C + C 2 cos²x ONone of…

A: we have to slove above integrate

Q: Approximate the area under the curve Y=x3 from X=1 to X=4 using a Right Endpoint approximation with…

A: To find out the area under the curve using the right endpoint approximation with n=6

Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 2+t and L₂: x = 1 + 4t, y = 3-8t, z = 5 - 4t are…

A: Solution is given below:

Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: The short-term demand for crude oil in Country A in 2008 can be approximated by g = ((p) =…

A: The short-term demand for crude oil in Country A in 2008 can be approximated by…

Q: The form of the partial fraction decomposition of a rational function is given below. A = B = C =…

A: Given : A = 4  B = -3 C = 0

Q: Let a = 1 and b=4. 1/6 ₁/²b(2² +1²) dy dx. T If you need to use π for your answer, just type pi.…

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Q: Find the open interval(s) where the function is decreasing. f(x) = (x + 1)/(x - 4) typed answer…

A: Given that , f(x)=x+1x-4To determine an open interval where f is decreasing. The function f is…

Q: Let f(x) = 3x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

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Q: Was this answered?

A: Given:- At=2.3sinπ6t+9.25 ⇒At=The average monthly rainfall in centimeters

Q: Suppose a product's revenue function is given by R(q) = -5q² + 700g. Find an expression for the…

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Q: Find the cross product a x b. a =j + 6k, b = 5i - j + 4k Verify that it is orthogonal to both a and…

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Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: 1. Use an appropriate substitution to solve these four ODES: (a) dy dx = x + 3y 3x + y

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Q: f cos 4x√sin 4x + 1dx. O-(sin 4x + 1)³/2 + C O(sin 4x + 1)³/2 + C O-(sin 4x + 1)-¹/² + C O(sin 4x +…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-6, 0,…

A: Concept if a line passing through ( a, b , c ) whose direction ratio are ( l, m, n ) then equation…

Q: The sequence {an} is defined by a₁ = 2, and an+1 for n > 1. Assuming that {an} converges, find its…

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Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

Q: You are given the circle, x² + y2 = 25.

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Q: A tank with a rectangular base and rectangular sides is open at the top. It is to be constructed so…

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Q: 2r cos 0 Replace the polar equation r= (csc 0)3e2rc with an equivalent Cartesian equation. T

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Find the derivate a) F(x) = 5-8x 1+ 2X f'(x)= 6) write all x-values (if any) at which the tangent…

A: (a) f(x)=5-8x1+2xd dx(ab)=bdadx-adbdxb2d dx(xn)=nxn-1

Q: If n(A) = 28, n(B) = 25, n(C) = 24, n(A n B) = 8, n(An C) = 12, n(B n C) = 7, and n(A U BUC) = 55,…

A: To find n(AΠBΠC)

Q: For the equation of the hyperbola: 4x^2 - y^2 = 16. Find the center, vertices, slope of asymptote’s,…

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Q: y=2x R y=x²

A: To write an iterated integral for ∫R∫dA over the region R described  in the figure below. (a)…

Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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Q: Use f(x) = x - bln(x) to answer the questions below. Assume b is a positive constant and x > 0. (a)…

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: Revenue The following spreadsheet gives annual production costs and profits at Gauss-Jordan…

A: To find the revenue in each sector in each year.

Q: 8. A bead slides down the curve xy = 10. Find the bead's horizontal velocity at time t = 2 s if the…

A: given  xy=10geight, y=400-16t2horizontal velocity=dxdtd dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd…

Q: The function f has a continuous second derivative, and it satisfies ƒ(−4) = −5, ƒ'(−4) = 3 and…

A: The solution is shown below-

Q: If f(x)=√ sinx, find f'(x). f'(x) =

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Q: Evaluate the double integral over the given region R SS ex- dx dy R: 0≤x≤ In (4), 0≤ys In (4) R

A: Use the common integral formula: ∫eax+bdx=1aeax+b+C   Given: ∫∫Rex-ydxdy  R: 0≤x≤ln4, 0≤y≤ln4

Q: Find the slope-intercept form of the equation of the line tangent to the graph of fx=3*сos лx at the…

A: To find the slope-intercept form of the equation of the line tangent to the  graph of fx=3-x cosπx…

Q: Find the derivative of the function. y = x²√√16x² V y' = -

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Q: Hale College predicts that in 18 years it will take $200,000 to attend the college for four years.…

A: Given

Q: Convert the integral to polar coordinates and evaluate it (use t for 8): With a = √4 ²0b=0c and d=…

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Q: 7. Integrate the function 4ry³ over the region bounded by y = x, x=2, y = 0. (2.2) (0,0) (2,0)

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Q: Solve the separable differential equation dx 1 x² + 25 dt and find the particular solution…

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Q: How many critical points does the function f(x) = 8sin2 (3x) have on the interval (0, π)? Provide…

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Find the derivative of the function at the given number. f(x) = x² - 9 at 0 f(0) =

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

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Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-