1 3x² + 2x + 1 x + 2 1 (A) B C D 8 15 1 dx -8 + 9 ln 3 16+ 17 ln 3

Q: 4 3 2 1 y 1 y = f(x) 2 3 4 -X

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Q: Question 20 (D² + 1) y = 12cos²x

A: Differential equation

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

A:

Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local maximum…

A: Topic = Function

Q: 2. Find lim x-π/4 3. Find lim 4. 5. 8x sin(h - 3) h-3 h2+2h - 15 Find lim tan(x)-2лtan(x) 4x-μ…

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: 3.1 A farmer grows a certain type of a tree in a greenhouse and usually sells the tree after 4 years…

A: The height of the tree if given by the differential equation: dhdt=3.5t+15 ;      h(0)=14

Q: the graph alongside to find

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Q: 5 Odlewn the Solation of the following Initial Value Problem 2(t-2)² x (0) = 1 (t-2)x¹ - x =

A: Given differential equation:- t-2x'-x=2t-22

Q: Find the indefinite integral. (Use C for the constant of integration.)      9x−3/2 dx       Evaluate…

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Q: a) For each of the following improper integrals, evaluate the integral or show that the integral…

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

Q: If f(x) = x - 8x² and h = 0, find the following and sim (a) f(x + h) = (b) f(x +h)-f(x) h Bund

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Q: R7 k=1 * x 3k

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Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

A: We need to find out the points where tangent line is horizontal.

Q: Find the area enclosed by the function f(x) = cos x + sen x , the x-axis and y-axis . (note:

A: Given function:- fx=sinx+cosx

Q: The graph of the quadratic function h(x)=x2−3x+2h(x)=x2−3x+2 is a parabola that opens upwards. What…

A: We have given a quadratic equation  hx=x2-3x+2 hx=x2-3x+322-322+2 hx=x2-3x+94-94+2 hx=x2-3x+94-14…

Q: Solve sin(x) = 1.

A: SOLUTION-

Q: Evaluate the line integral F. dr where (-3 sin x, -5 cos y, 5xz) and C is the path given F by r(t) =…

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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: A radioactive substance called Bosmerium has a half-life of 4 years. Initially, there is 800 mg of…

A:

Q: The following is a table of values of the functions f, g, f' et g': a) If h(a) b) If H(z) a) h'(2) =…

A: Given data, a) hx=fgx b) Hx=gfx

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

A:

Q: Given [2a³y da + 5xæz dy + (x + y)² dz, where C' is the helix parameterized by r(t) = (–2t, sin (t),…

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Q: For all positive numbers xvand ywith y≠1 ln(y)/ln(x)​=log(y)/log(x)​ true or false or impossible…

A: It is true

Q: Copy and complete the following table

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Q: -3 -2 -1 0 -4 -3 12 hat is the value of the point? Submit Question 3 log(x) 4

A: Given query is to find the value of x.

Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Find the point of the way from (8.-3. 1) to (-6.-10.-3). 0 P=0 0

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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: 1 Find the derivative the long way, using the limit of Ax as Ax->00,

A: To find the derivative

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

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Q: Find all values of X that will satisfy the equation within the interval 0 < x < 2π: cos X cot X…

A: Given: So,…

Q: 4- Find the derivative of the function: g(x) = ₁ 19 Sin (12x) Cos(13x) 14√1+u² du.

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Q: (D² + 6D+5) y = 2ex + 10e5x

A: We have to solve the differential equation  D2+6D+5 y = 2ex + 10e5x.

Q: Find the limit of the following sequence or determine that the sequence diverges. {(¹+3)"} ...…

A:

Q: 2. A company has a contract to cover the four walls, ceiling, and floor of a factory building with…

A:

Q: Evaluate the indefinite integral Answer: sin (In x) x dz.

A: The given integral is: I=∫sinlnxxdx   ...1   Use the common integral. ∫sinxdx=-cosx+C

Q: Determine the type of DE: - − ydx + (x + √xy) dy = 0 Homogeneous Bernoulli's equation Both…

A: To determine the type of the following DE:-y dx+x+xy dy=0

Q: Question 2 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: Volume

Q: 2.2_ Given f(x) dx = 10 and ſ₂ g(x) dx = −2, evaluate ₂[g(x) = f(x)] dx b. [f(x) + g(x)] dx 2g(x) dx…

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Q: | Sin ¹" (x) (1-sin ²³ (x)) cos(xidx S دل = 8 لى ( - *) | = (۱۶ . ne (z" - 1) ." [ 15 15 sin's (x)…

A:

Q: 7- Minimize the material needed to design a rectangular cubic box of volume 900 cm3. Find the…

A: Aim: To minimize the material needed to design a rectangular box of volume 900cm3.    Given:  Volume…

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = ( - 2, 0); P2 = (2, 4)

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Q: Show that for motion in a straight line with constant acceleration a, initial velocity vo and…

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Q: acceleration given by a(t) = 12 cos (4t) for time t≥ 0. If the particle has velocity v = 5 at time t…

A: Given query is to find velocity is increasing or decreasing.

Q: A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.…

A:

Q: lim x →0 e - 1 sin (7x)

A: According to question,Given limit,limx→0ex-1sin 7x

Q: Evaluate the indefinite integral: (tan) da 1+² S =+c

A: Given:       ∫tan-1x41+x2dx      =∫arctan4x1+x2dx substitute u=arctan x→dudx=11+x2…

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: Given: From the above graph, we can observe that the function is increasing in the interval (-1,…

Q: If f(x) = 7x² - x + 5 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h ||

A: a) Replace x by (x+h). b) Substitute the required.