5. Find dy for the function y = (sin 18x) by using logarithmic differentiation. dx

Q: For f(x) = (x - 1)³ and g(x) = 1 – 4x, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: note as per bartleby guidelines only 3 sub part is allowed to solve

Q: 3) Transform x² +y²-2x+y-2=0 from rectangular to polar

A: The given equation is; x2+y2-2x+y-2=0

Q: Answer the following questions. You must show all your work. 1) Convert the point (2,-1) from…

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Q: Question 16 (D² - 2D + 1) y = 2xe²x + 6ex

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Q: 1. Find the divergence of F(x, y, z) = (ln(x + y) + 7, sinhy√1+yz, ze" − cos z) - π at the point…

A: Given vector:- F→x,y,z=lnx+y+xzπ,sinhy1+yz,zey-cosz

Q: Question 15 (D² - 8D + 15 ) y = 9xe²x

A: Ode

Q: 6 sect (y'(t)) = 1₁ y(0)=5 ·

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Q: ·5 2x²+x+4 1 S 3 A B C D X 139 9 695 - 23 69 2 6 15 3 dx T N|W = 22 +7 (In 4 - In 2) 24 + 8 (In 4 –…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1) Given that csc A each of the following: a) sec B b) cos (A + B) c) sin 2A and cot B = where - <A…

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Q: a) Find the eigenvalues of A. b) Find three linearly independent solutions of x' = Ax. c) Find the…

A: The given matrix is; A= 2  0  0     -1   3  0      3   -3  0

Q: Coefficients Linear in Two Variables (3x + 2y + 7)dx + (2x - y)dy = 0 show complete solutions…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Then the solution of the…

Q: Find the partial total derivatives W₂ and W₂ if W = ax² + bxy + cu where x = au + ßv and y = yu

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Q: The transformed graph has equation y=−3x−h+k for some value of h and k. If the graph passes through…

A: The transformed equation of the graph is: y=-3x-h+k

Q: Question 12 (D² + 2D + 5) y = 6sin2x + 7cos2x

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Q: Find the total derivative given: dy a) z = f(x, y) = 2x + xy - y² where x = g(y) = 3y²

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Q: Use the defintion of Taylor Series for the following function about the given point Write the four…

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Q: Integrate the following 3-4x :dx 4x2-6x+e² ·S a.

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Q: Given S −5x³y dx + 4xz dy + (x + y)² dz, where C is the helix parameterized by r(t) = (-t, sin (t),…

A: The answer is given below:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: 7. Verify algebraically cos(0) sec(0) + sin(0) csc (0) = 1.

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Q: Solve 2 cos² (0) + sin(0) = 1.

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Q: 3. Solve the following differential equations b) '' + 7 +12y = 3t2 - 73t ay = S 7 (0) = 1 (0) = 0 هد

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Q: find the second derivative of tan( 2x^3)

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Q: What is the x coordinate of the point where the graph of y=log2​(x+3)intersects the line y=4.

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Q: Let f(x) = x899e-29x Find the value of where f has an absolute maximum value. The value of where…

A: Solution : Given that f(x) is

Q: Find the antiderivative F of that satisfies F(0) = 4. f(x) = 5x² – 2x5

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Q: Evaluate the line integral, where C is the given curve. Jox x sin(y) ds, C is the line segment from…

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Q: Can you show the working for 2A + 2b = 6  and  3A - B = 1, in equation one I, want to follow all…

A: Let's solve.

Q: = 4x² on Use the Fundamental Theorem of Calculus, Part I to find the area of the region under the…

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Q: Let A(x) = 4 3 2 1 y f(t) dt for f(x) in the following figure. y = f(x) 1 2 3 4 Calculate A(0.5),…

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Q: 14) ^2yy' (t) = 12t², y(0)=5

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Q: x = 3u-5v, y = 4v - u implies d(u, v) d(x, y)

A: We know  ∂x,y∂u,v=∂x∂u∂x∂v∂y∂u∂y∂v

Q: Consider the infinite series k=1 1 k + 3 Evaluate the first four terms of the sequence of partial…

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Q: any. Select the correct choice below and, if necessary, fill in the answer box to complete your…

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Q: Copy and complete the following table

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Q: M8 3k² Σ k! k=1 Choose the correct answer below. OA. The series diverges because lim k→∞ OB. The…

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Q: Suppose F(x, y) = (4x – 2y)i + 3xj - and C is the counter- clockwise oriented sector of a circle…

A: The solution to find the circulation of the given problem is as follow.

Q: 3 1/3 divided 6

A: Given query is to find value of the Indicated expression

Q: 5) Find all the complex cube roots of -8-8i.

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Q: Given So- −4x³y dx + 5xzdy + (x + y)² dz, where C is the helix parameterized by r(t) = (3t, sin (t),…

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Q: Consider the function f(x) = 4x² - 6x + 5, 0≤ x ≤ 6. The absolute maximum of f(x) (on the given…

A: We need to find absolute max and min.

Q: The following table gives the emissions, E, of nitrogen oxides in millions of metric tons per year…

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Q: Find the GS of y" + y = cos x + sinx

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Q: what factor and direction the graphs of the given functions are to be stretched or compressed. Give…

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Q: Find the gradient vector field of f. f(x, y) = xe7xy Vf(x, y) = (e7xy (1 + 7y), 7x²7xy) X

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Q: 6. Find an equation for the position s(t) of a particle moving along a straight line if its…

A: a(t)=12t+3costv(0)=6s(0)=0a(t)=dv(t)dtv(t)=ds(t)dt∫tndt=tn+1n+1+c

Q: (10) Find an approximate solution in the interval 0 ≤ x ≤ 4 to y"(x) = (2+x)y(x), y(0) = 0 Plot the…

A: Use difference method

Q: 5

A: We have to match the vector field Fx, y = x,-y with the correct plot.

Q: Solve the following initial-value problem: ) de dx-xe dy=0; y(1) = 0 √x + ye O O O Inlxl=e +1 Y…

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Q: A horizontal beam of unit length under load w(x) satisfies the system: y" = M, M" = w(x), x = (0,…

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