-3 3- Given A= 귀and B= 1 11. Solve 2X+A=B for X.

Q: įsin' | sin' xdx The integral of is

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: lim [f(x) – (x + 1)] = 0 • f is R\{2, –2} • f(1.5) = f(3) = 0 continuous • lim f(x) = -∞ on lim…

A: Given:-   To find:- Determine the intervals where the graph of f increasing/decreasing and concave…

Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

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Q: dy - 3y = 0 dx 16. Solve the first order linear differential equation: А. y = e* + C В. у3 Сезх C. y…

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Q: d E A. By power series, prove that: -cosx = -sinx dx

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Q: for In (x + x) dx

A: A detailed solution is given below.

Q: The integral of the given function sin³x cos x dx is equal to a. 1/3 b. 1/4 с. 1/5 d. 1/6 e. None of…

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Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

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Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Implicit Curves a Consider the 2 implicitly-defined curves 5y - 2a + y - a?y = 0 and 2y + 5æ + a -…

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Q: Calculus Question

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Q: Evaluate the integrals in the following questions using integration by parts For |0 cos cos T0 do

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Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: The integral of the given function ſ is equal to a. In2 b. In3 c. In4 d. In5 e. None of the above

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Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil…

A: Given problem:- The radius of a circular oil slick expands at a rate of 7 m/min.   (a) How fast is…

Q: for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у…

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Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 9. y = csc csc (5x) 10. y = cot(6x)

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Q: f(x)=(5+x4)1/4 what is f2(x)

A: Given query is to find the second derivative of the expression.

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.

Q: The velocity of an object moving along a line is given by v = 3t2 + 1 ft/s on the interval 0sts4. a.…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: What are the intervals on which the graph 4 .3 of the function f(x) = x* - 2x +1 is concave…

A: Given query is to find the the interval where graph concave downward.

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: Find an eigenbasis and diagonalize. (Show the details.) 14.4 -11.2 10. -11.2 102.6.

A: Given :14.4-11.2-11.2102.6

Q: The series 33n-54-1-2n is n=1 Select one: а. is convergent but not a geometric series. O b. is…

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Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

A: j(x)=(3x2-7)(-2x3+7x) The product rule is: (fg)'=f'g+fg' From above:  f(x)=3x2-7g(x)=-2x3+7x Now,…

Q: 6. S (1 + 3æ)*dx

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Q: The functions h(x) and h'(x) are not differentiable at x = 0. The graph of h has a point of…

A: Follow the procedure given below.

Q: Find the sum of the first 7 terms of the following series, to the nearest integer. 6, 12/5, 24/25,

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Q: Make a sketch of the following vector field. F= (5e%,0) Choose the correct vector field below. O A.…

A: We need to draw vector field.

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

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Q: 7 7 = 3, f(x)dx = 8, and g(x)dx = 5. Evaluate the following integrals. Sowar=s. 2 2 2 Sawak = -5 7…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Find the minimum and maximum values of the function y = 1613 + 24t² on [1,2] by comparing values at…

A: Explained below

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: 2n +3 an %D 5n+8 hen the series an n =1 is divergent Select one:

A: Given query is to find series converges or diverges.

Q: 4. S(x² – 1) Vx + 4 dx

A: Solving

Q: = csc() – y] dæ + ædy = 0 C CSC Dy = = cos-' (In z + C) O Ina + cos () = C O Inz (금) =C cos Oy = x…

A: Topic:- application of integration

Q: Obtain the general solution unless otherwise instructed (D5 + D4 – 7D³ – 11D² – 8D – 12)y = 0…

A: In this question we will find CF only as PI part is 0