If cos(0 - π/2) 0.54, find sin(- 0)

Q: Solve the following system of inequalities 2x+y-8>0 3x-y+6>0

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Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: The Laplace transform of e erfc(√i) is? 1 a) √s (s −1) 1 √s (√s-1) 1 √s (s +1) 1 √s (√s +1) b) c) d)

A: As we know that erfcz=1-erfzand laplace transform of error function erfz=1ss+1and also we have the…

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Form the graph first then see maxima and minima

Q: Consider the function. 700----14 Identify the domain off. (Give your answer as an interval in the…

A: We need to fill answers.

Q: Find the transition points. y = 3x³ - 45x³ (Use symbolic notation and fractions where needed. Give…

A: We have to solve given Questions.

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: 1. The value of (1.000) 27 is O 327 0.327 O 1.000 O Non of them (242²-121²) 242*121 O 1 O 2/3 O 11/3…

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Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) a (-37) at a) The…

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Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

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Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: X Consider the function f(x) = x²-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A: All the subparts are solved below-

Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: 2 f(x) = √2x + x².

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Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫ ln(x-ln(x-.....) dx in terms of some new variable t

Q: S dx coth6x

A: We will solve the integral in the following step.

Q: Find fxy.

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Q: C. Graf the function of y-5x" if n=3 1. O 1 2 2. y = ax",

A: let see how the graph of y =5x3 looks like

Q: (a) f dx 2 √3x-x²

A: Solution of the problem as follows

Q: In t years, the population of a certain city grows from 500,000 to a size P given by P(t) = 500,000…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

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Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

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Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…

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Q: S x-6 x²+9 dx

A: To evaluate the given integral. ∫x-6x2+9 dx

Q: (x² + 3xy + y²) dx − x² dy = 0 -

A: As equation is an homogeneous differential equation then put y =vx and solve.

Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

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Q: 1. How do you think will the infrastructures be, if area in solving the plane region using definite…

A: 1) in that case there would be some standard object with a specified area which can be used to scale…

Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: The graph shown is the 1st derivative of function where its domain is R फ़ी An interval where the…

A: topic - strictly  decreasing  interval of function

Q: 6x-1 b) f(x) = (3x+5)*

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Q: 1-x x² +1 If f is differentiable function with deriviative f'(x) = - then on which of the following…

A: f is concave up if f''(x) >0 .

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given :Atmospheric pressure : P=14.7 e-0.21xx= number of miles above sea level

Q: given value of x. Show your complete solution.

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Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: (b) Find the value of each convergent improper integral and show why each divergent improper…

A: We need to calculate the improper integrals and then conclude it as convergent or divergent.

Q: Solve: 123 1 224 + 1 315 - 4x6 +...? +

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Q: 2. Find the area between the functions: y = x³-12x + 10 and f(x) = -3x + 10 3. Find the area between…

A: We have to find the area.

Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.…

A: Since you have posted a question with multiple sub-parts, as per company guidelines we will solve…

Q: R|N PJ 2 COS X 1 + sin x dx

A: We have to find value of given definite integral.

Q: Find the length of the curves in Exercises 1-4. x = (y³/2/3) - y¹/2 from y = 1 to y = 9

A: Solution of given question is written in below steps.

Q: y dx y = 9x+8 Find dx

A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: 2.f(x) = = x3 3. f(x) = x tan x 4.f(x) = +₁₁ 4* x-1 1 x7

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Q: J 2+2 cot (2²+42 - 3) -dz

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Q: d) y = x453x-1

A: Given query is to find the derivative.

Q: dx sinh3x tanh3x S

A: