Given that 2x - 1 - (x − 2)(x+3) A x - 2 + B x + 3

Q: Find the derivative of the function. (= W 5ew 8w

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Q: Use the Integral Test to determine whether the infinite series is convergent. ∞ n² Σ 9 n=21 (n³ +9)…

A: NOTE: Refresh your page if you can't see any equations. . use the series integral test if the…

Q: Find the particular solution of the differential equation that satisfies the initial conditions.…

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Q: Find the volume of the region in the first octant cut from the solid sphere p ≤ 3 by the half-planes…

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Q: Q2)Use integration by parts to evaluate fx sec² x dx

A: The given integration is: ∫x sec2x dx  To solve the given integration by parts.

Q: Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the…

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Q: Find x. Round your answer to the nearest tenth of a degree. Explanation Check 9 14 x = 0° X Ⓒ2022…

A: We have given a right angle triangle  From given triangle  perpendicular (p) = 9 base (b) = 14 angle…

Q: Consider the following. w = In(x² + y), x= 2t, y=9-t (a) Find by using the appropriate Chain Rule.…

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Q: Consider the function below. (If an answer does not exist, enter DNE.) F(x)=x√ 18 x (a) Find the…

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Q: Find each logarithm without using a calculator or tables. (a) In(e) (b) In(√) (c) In (√³) (d) In(1)…

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Q: Given sinx== O O O O 161 289 225 289 161 289 225 289 15 and cos x > 0, what is the exact solution of…

A: As we know that cosx=±1-sin2x

Q: You have been given the following initial Problem, Please Solve it. Your Symbolic function of x…

A: We have to solve the initial value problem y''-8y'+52y=0, y0=5, y'0=4.

Q: Evaluate the indefinite integral: [ sin (r) cos(x) dx

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Q: Evaluate the indefinite integral: sec² (r) tan² (r) +5 tan(r) +6 dr

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Q: A right circular cylinder is inscribed in a circle of radius r. What is the largest possible volume…

A: Let we assume height of cylinder = H radius of cylinder = R Given radius of circle ( r ) = 1apply…

Q: Consider a function f such that Then: • f(x) has a local minimum at x = • f(x) has a local maximum…

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Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: The expression sec x Step 1: + tan x Step 2: 1 COS.X tan x 1 Step 3: cos x sinx COS X Step 4: sec x…

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Q: How many units are in beginning inventory if 20,475 units are budgeted for sales, 20,449 units are…

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Q: K Given the function f(x) = 4x2-x+ 3, determine: f(z)-f(x) Z-X a) lim Z→X b) f(x) a) lim Z→X…

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Q: Solve the equation. 6x = 9+ x-6 2x² X-6 Select the correct choice below and, if necessary, fill in…

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Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

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Q: The function f(x) = 1 + 2x + 8x¯ has one local minimum and one local maximum. This function has a…

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Q: Consider the function f(x) = = this interval. 1 on the interval [2, 12]. Find the average or mean…

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Q: Express the following numbers in rectangular form (real and imaginary). (a) 9 39°= +i (b) 20 -15° =…

A: Note:as per our answering guidelines we can solve only 1 question or 3 sub parts. So i solved 1st…

Q: 2 Find the largest product the positive numbers x, y, and z can have if x + y² + z = 9.

A: Concept: In differential geometry and vector calculus, the partial derivative is used. The function…

Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: Explanation of the answer is as follows

Q: An investment of $8000 grows to $10,298.73 in 4 years. Find the annual rate of return for annual…

A: We have to find the interest rate.

Q: ind the centroid of the region enclosed by  y= -sqrt(9-x^2) and the x-axis  show all work on paper…

A: centroid of region R is given by x=1area of the region  R∫abxf(x)dx where a≤x≤by=1area of the region…

Q: Graph the function. Y-(-²)*

A: Given function,                           y=12x

Q: f'(x) = f"(x) = COS X sin x - 2 -1 + 2 sin x (sin x - 2)²

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Q: The radioactive isotope potassium-40 is used to date very old remains. The proportion of…

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Q: 1. Find the length of the Curve y=In (Secx), where O< x < T

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Q: You have been given the following initial va Problem, Please Solve it. Your Symbolic function of x…

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Q: b) in order ff dxdydz E

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Q: Sketch the region enclosed by the curves x - 3= 6y and x- 27 = (y - 4)², and compute its area.

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Q: Which expression does (cos 3x)(cos x) - (sin 3x) (sin x) simplify to? O cos 4x sin 2x O cos 2x sin…

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Q: Consider the triangle below. Click on the picture to see it more clearly. In questions 1, 2 and 3…

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Q: The income distribution of a country is estimated by the Lorenz curve f(x) 0.37x³ +0.56x² +0.07x. =…

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Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter…

A: I am attaching image so that you understand each and every step.

Q: Determine formulas for the following. f(x) = x2 + 36x   (a)     f(−x) ______________________   (b)…

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: we need to find the average velocity.

Q: (6) f(n) = 2-√√uti n-3. tim f(n) 13+ lim 473- 드 Hence, f(u) = lim #10+ = f(") NOW (im brot (im h+ot…

A: b) f(n)=2-n+1n-3

Q: D. Let function g: R → R be defined by g(x) = 2x + 1 5 cx in its domain. Why does your choice of c…

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Q: a. Which interest rate and compounding period gives the best return? .8% compounded annually • 7.5%…

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Q: Use a calculator to evaluate the function at the indicated values. Round your answers to three…

A: given  h(x) = ex   we know that, The exponential constant is a significant mathematical constant and…

Q: Consider the circle C of radius 4, centered at the origin. (a) Find a parametrization for C inducing…

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Q: Find the value of the function f(x) = 6-22-7 at z = 3. 1 1. ƒ(3) = - 2. f(3) = 4 13 3. ƒ(3) = 2 4.…

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Q: Determine the velocity vector of the given path. c(t) = 9ti + 7t²j + 4t³k

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Q: Explain how 5 (G) can be obtained from the graph of g(x) = 2+1

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