Question 10 of 25 The function f(x) = x -3x3 is decreasing on the interval A)(-00, 0] D) [0,10] B) [0,00) E) [8,00) C)[0,8] F) None

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: USE HOMOGENEOUS LINEAR HIGHER ORDER DE 4. y(4) + 50y(²) + 625y = 0 ANSWER: 4. y = (C₁ + C₂x) cos 5x…

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Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: 3-184 Find the antiderivative F(x) for each function below. Test your solution by verifying that…

A: Here is the solution:

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: Determine the area, in square units, of the region bounded by f(x) = 10x³ + x² - 21x - 9 an g(x) =…

A: To determine the area, in square units, of the region bounded by fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9…

Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

Q: for the following P.d.f of x, find the p(x<1) and p(|x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: In exercises 1-28, evaluate the indicated limit, if it exists. Assume sin x that lim 20. lim 240 sin

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Q: lim A) e⁹ TE B)e-9 C) D) e-s

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Q: Estimate the limit numerically (or graphically). Use oo or -oo for too. Write DNE if the limit does…

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Q: 35. [T] lim sin2x; ±0.1, +0.01, +0.001, +.0001 *40 X X -0.1 -0.01 -0.001 -0.0001 sin 2x a. b. d. X…

A: The answer is given below:

Q: Use calculus ideas to find the required graphical values of the following functions: 23. Find the…

A: See this solution in below

Q: Rewrite the differential equation as. dy y(x+2)-(x+2) dx y(x-3)+(x-3) = (x+2)(y-1) (x-3)(y+1) dx (1)…

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Q: nch the without solving the problem) ution of the given initial value problem is certain to exist. −…

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Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

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Q: Find x such that the matrix is singular. 4-[94] A

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

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Q: Differentiate the following expressions and saveit under the given variables. 1. ур1 2. yp2 = 3. yp3…

A: Given data:- (1); yp1=x26-xx+2(2); yp2=ddxx24-x4+x(3); yp3=ddxx2-12x2-6x-1

Q: Q3. Choose three of the following: n i. Find limn→∞ (1+¹). ii. Find the domain and rang of y =…

A: In this question we have to find the following part of question 3.   NOTE: As per our policy we can…

Q: Determine the flux of D = p² cos² þap + z sin ☀ a over the closed surface of the cyl- inder 0 ≤ z ≤…

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Q: 1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 4. Which of the…

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Q: The given vectors form a basis for a subspace W of R³. Apply the Gram-Schmidt Process to obtain an…

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Q: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 1.7 of 25 The area of the region that enclosed by f(x) = 2x-x² and y = 0 B) / A) 413 c) 3/4…

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Q: Find Domain and Range y=-ex-1 The domain is (-00,00) and range is (-00,0) The domain is (0,00) and…

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Q: 5) -4<|2x+2 | ≤6 -a -2-2 -622x34 axs

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Q: (1) When sugar is dissolved in water, the amount A that remains undissolved after t minutes…

A: We have to find the time taken for half of sugar to dissolve.

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

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Q: If y=(sin3x-cos3x)², find dy dx

A: Given y=sin3x-cos3x2

Q: Question Find the area of the region pictured below that is bounded by the functions u(y): the area…

A: The region is bounded by the curves u(y)=y-3 and v(y)=y2-2y-13 on the interval -2≤y≤5 use the…

Q: Question Write the integral required to find the area of the region pictured below that is bounded…

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Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x), (C) lim…

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Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: If y = arcsin(4x + 5), dy dx =

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Q: Given the following augmented matrix which represents a linear system, solve the linear system using…

A: The given equations are; x1+x2+4x3+4x4-8z=21 2x1+3x2+8x3+8x4-14z=46 x1+5x3+4x4-12z=18…

Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

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

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Q: Q1:/Verify that the given function is harmonic and find it is harmonic conjugates so that f(z) = u +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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