b. (1) (x) c. (fog)(x) d. (gof)(x)

Q: Find the general solution of the differential equation. y(4) + 14y" +49y = 0. NOTE: Use C₁, C2, C3,…

A: Given :y4+14y''+49y=0

Q: Determine whether the following series converges or diverges. Show your complete solution. 1+ sin²n…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

A:

Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: Let's sketch the graph and find tangent of given parametric equations.

Q: 5) (10 ptos) Determine los puntos críticos de ƒ(x) = ²x³ + x² – 2 2x

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Q: Identify the vertical and horizontal asymptotes of f(x) = 2x+1 X-4 vertical: x = horizontal: y…

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Q: In Problems 13-16, graph the constant-cost lines through (9, 9) and (12, 12). Use a straightedge to…

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Q: f(x( = (x( sinx

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Q: x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

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Q: Find the third degree Taylor polynomial T3 (x)centered at a O T3 (x) = 3 - 6x + 9x² - 12x³ O T3…

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Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Q2. If F = (x² − y² + 2xz)ī − (2xz − xy + yz)j + (z² + x²)k, find the of curl F and curl of curl F…

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Q: The number of square feet in the total surface of a right circular cylinder is equal to the number…

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Q: 26. Graphed below is the function g(x) and a transformation of g(x). Write an equation for the…

A:

Q: A crate is supported by two ropes. One rope makes an angle of 25° 30' with the horizontal and has a…

A: We will find the required.

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) 4 (a) lim f(x)= x-c+…

A: A function is continuous at x = c iff limx→c+f(x)=limx→c-f(x)=f(c)

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

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Q: Select all invertible transformations from the list below: Shearing Translation Scaling Projection…

A: Projections are not invertible transformation except we projects onto an entire space.

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

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Q: After his receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future…

A: Juan Dela Cruz invested P20,000 in a bank for his future family. The annual interest rate in his…

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

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Q: Consider the region B under the graph of y = 3x² + 1, x [1,3], and above the x-axis. Find the area A…

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Q: Needing

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Concept: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids…

Q: Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is…

A:

Q: A car lease requires payments of $485 at the beginning of each month for 8 years. If the lease rate…

A:

Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: TL 3. sin²4ycos²2ydy T

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Q: Determine the following indefinite integral. S ex 400-e2x dx, x> In 20

A: Given, ∫ex400-e2xdx

Q: an = (1 + 2,60) ² =

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Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

A:

Q: The area of the surface generated by rotating the curve y = 1 = cos(3x), where 0 ≤ x ≤ , about the…

A: Let's find Area of surface,when rotated about x axis.

Q: le A ship leaves port on a bearing of 41.0° and travels 14.9 mi. The ship then turns due east and…

A: We have to find the distance and bearing.

Q: Q1. If g = xy - yz - · — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F…

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Q: 7x³ - 7x lim x-1 2x² + 2x

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

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Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: find the derivative using implicit differentation

A: Apply derivative on both sides

Q: Find the equation of the langents to the graph y-x3 3x2-15x-20 at the points of the graph where the…

A:

Q: Evaluate the derivative of the following function. - f(x) = 18x sinh −1x − 180x2 + 1 f'(x) = 18 cosh…

A: To find the derivative f'(x)

Q: II. L' Hôpital's Rule. Evaluate the following limits using L' Hôpital's Rule. 3-x 1. lim 1-3 2-8

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 16 6xy ds, where C is the right half of the circle x² + y² = 4. Evaluate the line integral

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Q: Given the lengths of two vectors, namely, |u| = 1 and |v| =2, find the the dot product of u + v and…

A: answer is in next step.

Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: Consider the implicit function. e = sin (6x) Determine the formula for in terms of x. dy dx dy dx

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y=x (0, 0) (1, 1) y=x² R

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Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: The graph of f is given. Find the following or write d.n.e. if it doesn't exist. If a limit is…

A: