Write the inequality in interval notation and graph the interval. -5

Q: 35/ SEX √ 2 X-I d x

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Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

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Q: dx (x+3)²-25 7.57

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Q: 11. A plate in the form of a parabolic segment of base 12 m and height of 4 m is submerged in water…

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Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: Repeated Irreducible Quadratic Factors: Examples 2x² +9 x4 + 10x² + 25 dx

A: The given integral is;  (2x2+9)/(x4+10x2+25).

Q: Find dy/dx for the following function: (3) y = √tan x

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Q: (2) Show that y = x sinx is a solution to y"+y= 2 cos x.

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Q: 5a) Suppose y = f(g(x)). State the chain rule. That is, what is y' = dy/dx? Now, suppose f(x) =…

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Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: [x² (-2 + x² )* dx

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Q: In one area, the lowest angle of elevation of the sun in winter is 20° 11'. Find the minimum…

A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

Q: . Given 1 [(5x+ + = + 1) dx a. ) Evaluate the indefinite integral above b. Evaluate the integral…

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Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: d.x (1) √₂√(1+√5)²

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: Evaluate the following indefinite integral. 7 1+8t -dt 5t (Type an exact answer.) √ 1+8t 5t -dt=

A: The given integral is ∫1+8t75t dt

Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: = Find the direction in which the maximum rate of change occurs for the function f(x, y) the point…

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Q: 10. Let w = f(z) = Find f(1 - i) 1+z 1-z A. 1 - 2i B. −1+2i C. -1-2i D. none of the above

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Q: 1. Given the series 1 1 - - - 5 +(-=-={{ (x-2)" +... 25 125 5 (a) For what values of x, does the…

A: see below the answer

Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

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Q: 3. The point zo = 1 + i is Zo |z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated…

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Q: O cos y (cos x + 1)

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Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Given: x= y2 + 4y, x=0

Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: If f(x) = In(4x + In(x)), find f'(1). f'(1) =

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

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Q: Find the slope of the line tangent to the graph of f(x) = 4 - xatx = 2. Provide your answer below: m…

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Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: 3. Approximate the integral using: (a) trapezoidal rule. (b) Simpson's rule. SUBJECT: NUMERICAL…

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x(40x²…

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Q: Record your explanation of the solutions to the following. 1. Sketch a function with the following…

A: We can solve as follows

Q: -if y=x² the dy dx

A: Finding dy/dx

Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: Calculus. Please write the complete solutions legibly. Upvote will be given! Find the area inside…

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Q: Suppose that f(x, y) = e/ on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

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Q: alla Find xy² R2² -dA, R= [0, 4] × [ - 2,2] x² +1

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Q: The Interior angle of a regular octagon has a measure of: CA. 120%. OB. 135% C. 45 D. 60° COC

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Q: Q5 / S[x √ 2x-1 dx

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Q: Determine whether the given sequence converges or diverges. If it converges, calculate its limit. An…

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Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

A: Solution is given below: