Use interval notation to write the solution set of the inequality. 2 x² + 3x-28≤0 The solution set is (Type your answer in interval notation.)

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

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A: Given problem:-

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: S =/2e-3x/4 3x -3x/4 (A) 4 2x - 3x/4 (B) 3 (C) - 1/2 e X (D) 1/2 e e e ₂-3x/4 - 3x/4 dx + + 3 - & e…

A: By see this solution

Q: 6. 7. 8. Determine the derivative of the curve with equation y = 4²x a) 4²x ln4 b) 42x In2 c) 4* In2…

A: We have to find out derivative

Q: Solve the following initial value problem. y"-2y' + 2y = 7x+1; y(0)=3, y'(0) = 0

A: The given initial value problem,y''-2y'+2y=7x+1; y0=3, y'0=0

Q: Find dy dx dy dx if y= x³ + 7x + 5 2² +6

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Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

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Q: Evaluate the following dx (x - 1)(x-2)(x-3) integral s

A: We need to evaluate integral.

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

A:

Q: Let f(x,y,z) = zIn(x³ycos(z)), find Z 3x² O In(x3ycos(z)) - ztan(z) 0 2 Y о 3z X af ila

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Q: C- for the function below, the domain and the range is respectively y = y=√16-x²

A: Given :y=16-x2

Q: Find derivative of the 6tanx following function d d.x

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Q: Let f(x,y) = xsin(xy), then fx(x,y) = O sin(xy) + x²cos(xy) O x²cos(xy) O sin(xy) + xycos(xy)…

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Q: fcx) = sinh x X il 10 - 2 (1+X+X/21 + X/31 + -)-(1-X + X²/21 - X/31 --) 2 3 +2 5 2x+2 31, 2 3! 51…

A: We know, coshx= [ex+e-x]/2 and emx=1+mx+m2x22!+m3x33!+... for any real number m

Q: find: Seas WTT cos Witt dt Sinnt dt findo S

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Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: Q10. Consider the surface z = x²y + y - 2. At the point (2,1,3), find the following: 1) The equation…

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Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: 7- The area of the (bounded) region between the line y = x quadrant is and the curve y = x² in the…

A: 7) The area of the region between the line y=x and y=x2 in the first quadrant. First we draw the…

Q: Find the roots of the differential equation: y"+4y' + 6y = 0

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Q: A- The result of the following limit is 2x² + 3x lim xx0x³ + x + 1

A: The objective of the question is evaluate the limit .

Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

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Q: The question was 1+9+25+49+81.....+121

A: 1+9+25+49+81.....+121

Q: I need the third derivative for all of the following functions f(x)= 1 + X f(x)= f(x)= 1-X -1

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Q: For f (x) = 1/4x^4 − 1/3x^3, find the critical values of x, and determine the relative maxima and…

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = √√1+x DO 1 f(x) = 1…

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Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: Find the slope and y-intercept of the graph of the equation. y = 5x-1 (Enter a fully reduced…

A: Find the slope and y intercept

Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: A- for the function below, the domain and the range is respectively y = |x-2

A: To find the domain and range of the given function

Q: 3. Use the method of partial fractions to evaluate 3x²+7x-2 -dx.

A: NOTE: Refresh your page if you can't see any equations. . first, we need to use a partial fraction…

Q: Compute the limit of the function at −1 AND determine if the function is continous at 1. f (x) = {…

A:

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

Q: y = ln (sec (ln 0))

A:

Q: Under certain air conditions, the air temperature drops about 3.9°F for each 1,000-foot rise in…

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Q: B- The derivative is y = ln (sec (In 0))

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

Q: Solve the boundary value problem, if you have : 4y" + 3y = 0; y(0) = 1; y(n) = 0

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: Find the first four nonzero terms of the Maclaurin expansion of the given function by using the…

A: Given problem:- Find the first four nonzero terms of the Maclaurin expansion of the given function…

Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

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Q: f(x) = 44 (a = 3) Choose the correct answer below. 4 4 8 OA -+ -(x-3)-. 3 9 27 (x-3)² + ... 4 4 4 O…

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Q: A- for the function below, the domain and the range is respectively y = |x|-2

A: Here we have to find the domain and range of the given function

Q: Use interval notation to write the solution set of the inequality. x²+3x-40 ≤0 2 The solution set is…

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Q: WHich of the following represents the shell height if the shell method will be used to find the…

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Q: 1. y' = x y+x²y

A:

Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1

A: Here we have to evaluate the limx→0x2ln(secx)

Q: The graph of y=f(x)is given below. 7 4 Find all a values at which f is not differentiable.…

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