Solve for the derivative of the function using chain rule. 11. f(x)= ln(sin(8x))

Q: 5x + 2y - z = 22 x - 4y + 2z =0 (a) Find the angle between the two planes. (Round your answer to two...

A: We are asked to find the angle between two palnes.

Q: 3.Determination of Integrating Factors : Solve the equation (x² + y² + 1) dx + x (x – 2y) dy = 0 O x...

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Q: Determine where A(t)=t^2e^5-t is increasing and decreasing.

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: Let's find. 

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3 ...

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Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4, ...

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4, ...

Q: the line satisfying the given conditions. If possible, also indicate the symmetric equations. line ...

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Q: g (x) = arctan a) Series: En=0° b) First four nonzero terms: c) Within the interval of convergence:

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: (cos x+xcost)dt + (sin t-t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: 10. f(x) = cos (2x)e*²-1

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Q: 2. * x dx V4-x4 stn-1 폭+C x2 C sin-1 + C 2 1 x2 D sin 1 x sin-1+ C sin-1 + C - - 2 O A E None of the...

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Q: nd the volume of the region under the surface z = ay? and above the area bounded by a = y² and + 2y ...

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Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3 Answe...

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Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: Let g (x) = tan 1x + tan (1/x). Show that g (x) = k, a constant, for any x in the domain. Find the v...

A: Given problem:- Let g(x) = tan-1x + tan-1(1/x). Show that g(x)=k, a constant, for any x in the domai...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Here, given that u=9, v=2, θu=0°, θv=60°

Q: За + 5; у 3 3а — 1; Let R be the region bounded by the straight lines y y = 10 – 4x; y = 8 – 4x. Con...

A: We have to sketch Region R and Reigon G

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Ду dy %3D II

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Q: Find the centroid of the region bounded by the curves: x + 2y = 6 = 0 y=0 O A = 3 sq. units; Centroi...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: graph f(x)= x4ex Indicate the important points (local max, local min, inflection, intercepts etc)

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Q: 3. A jar sauce. How many cups of spaghetti sauce do 4 jars contain?

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Q: II. Obtain the required order or level of derivative. 1. y = 3x5 + 4x³ – 4x + 1, find y" 2. f(x) =-+...

A: Solve differentiate

Q: II. Obtain the required order of derivative. 1. y? = 4x, find y" 2. x3 - y3 = c³, find y"

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Q: u = 5i + 4j + k v = i+j+4k w = i+ 8j + 9k

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

A: The equation of the line is x-43=y+75=z+5

Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of li...

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A:   Solve for the derivative of the function using chain rule. 9. f(x)= esinx  

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next...

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Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Q3: Solve the following first order differential equations Use any method: dy 1-2у-4х dx 1+y+2x

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Q: Find the directiona f(x, y) = x³ – y³, P(4, 3), v = (i + j)

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: satisfying

A: We will obtain the particular solution. 

Q: 2r dr (1 - r)"

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: (T^2-x)dt-tdx =0 when t=1 x=5 Ans,: x=1/3t^2 + 14/3t please show solution

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Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

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