problems

Q: . What is the definite integral of a function ƒ over a closed interval[a, b]? When can you be sure i...

A: What is the definite integral of a function ƒ over a closed interval[a, b]? When can you be sure it ...

Q: Use the limit definition to calculate the derivative of the linear function. f (x) = 7x − 9

A: To use the limit definition to calculate the derivative of the linear function. f (x) = 7x − 9   ...

Q: If you think the statement is correct, write the name of the theorem or test you are using or that i...

A: see 2nd step

Q: .1.15 Use the graph to identify the points on the interval [a,b] at which local and absolute extreme...

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Q: Sketch the graph of each quadratic function and compare it with the graph of y = x2. (a) f(x) = x2 +...

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

Q: 1) The Hiking Club plans to go camping in a State park where the probability of rain on any given da...

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Q: The volume of a cube decreases at a rate of 0.2 ft° / min. What is the rate of change of the side le...

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Q: The Washer Method: Try it! Sketch the region in the first quadrant bounded by T the lines f (x) = 4 ...

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Q: Liquid is pouring into a large vat. After t hours, there are 5t + 1t gallons in the vat. At what rat...

A: given,          after t hours, there are 5t+1t gallons in the vat.    

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the ori...

A: Use trigonometric relation to eleminate trigonometric term.. Final. Equation is hyperbola.. 

Q: What is the remainder when f(x) = 2x20 - 8x10 + x - 2 is divided by x - 1?

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Q: For #9 & 10 solve for all x in the interval [0,27). Round to 3 decimal places only when necessary. 9...

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Q: Calculus Question

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Q: Encuentre la solución de las siguientes ecuaciones diferenciales: y"+5y'- y =e' –1, y(0)=1, y'(0)=1

A: In the question it is asked to solve the differential equation y''+5y'-y=et-1 with initial condition...

Q: Every year a lake becomes more polluted, and 5% fewer organisms can live in it. If in 2010 there are...

A:   Mentioned below is the formula for the above question 

Q: Show that the inequality (x - 4)2 s 0 has exactly one solution.

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Q: find the limit or explain why it does not exist. x? + x lim + + 2x4 + x³ a. as x→0 b. as x→ -1

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Q: 53. The graph of y = f(x) is given. Solve the inequalities. y = f(x) 5 4. a. f(x) 0 d. f(x) = 0

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Q: Help me to solve

A: For rate of change increasing or decreasing we use first derivative test

Q: HOW TO SLOVE THIS?

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Q: What length does an arc that is swept out by 5 radians on a circle with radius 1

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Q: What is meant by the absolute value of a number?

A: To explain the absolute value of a number.

Q: Define the terms 1.Limit 2.Continuity 3.indeterminate form

A: (1) Limit→Let f(x) be a function defined on an interval that contains x=b,except possibly at x=b. Th...

Q: 2 eonsider thegraph 2x 2x++ a. velify the derinative. Shoug that dy 8-2メ -2 ーメ+ン b. Find the equakin...

A: a) 2x2-2xy+y2+4x=6     Now differentiate with x                            ddx(2x2-2xy+y2+4x)=ddx6  ...

Q: Find an equation of the line passing through the pair of points (−7, 2), (−7, 5) .Sketch the line.

A: The equation of a line passing through the points x1,y1 & x2, y2 is given by: y-y1=y2-y1x2-x1x-x...

Q: 90-93. Designer functions Sketch the graph of a function that is con- tinuous on (-0, ) and satisfie...

A: Given the function f(x) is continuous on (-∞,∞) Also given that : f''(x) >0 on (-∞,-2)so from x =...

Q: For each of the following parts, sketch a pair of vectors u and v that atisfy the given condition. (...

A: This question is taken from the vector in which we have to draw the diagram for the dot product ineq...

Q: Write the expression as the logarithm of a single quantity. (5 In(x + 4) + In(x) – In(x? – 2)

A: we have to write the given expression in a single quantity

Q: 158. Harmonic Motion The displacement from equilibriumof an object in harmonic motion on the end of ...

A: Consider the given function as y=13cos12t-14sin12t

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve), an...

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Q: y consider 2x2xy44x=6 thegraph 2x-2x4++4x=6. verify the derinative. Shoul that dy a. ーメ+ン b. Find th...

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

Q: Help

A: Given : ∫00.4ln(1+x4)dx

Q: Answer the first question

A: Given: - ∫x sinx dx Formula: - ∫uv dx=u∫v dx−∫dudx∫v dx dx

Q: Solve the ff. problems using trigonometric or inverse trigonometric functions. Show illustration, de...

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Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2. Conc...

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.    

Q: Question 1. In the following graph y = f(x) is a function with a tangent line y = g(x) at the point ...

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Q: The marginal revenue function of a product is given by MR(x)=3x^2+x+1. If the revenue from the sale ...

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Q: Recall the Power Rule for Integration for n + -1. un +1 + C u" . n + 1 In this case, u = 2x + 1, u' ...

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Q: help those questions

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining...

Q: Sum of squares What two nonnegative real numbers a and b whose sum is 23 maximize a2 + b2? Minimize ...

A: This question is taken from the maxima and minima in which we have to find the maxima and minima of ...

Q: options for a are it diverges, converges absolutely, converges condiontionally, or there is not enou...

A: Solution; Consider the given power series : ∑n=0∞cn.x-5n Also, it is given that the radius of conver...

Q: Intending to take a vacation, newlyweds place a continuous stream of $2,000 per year into a savings ...

A: Topic- compound interest  A=P(1+R)^T    

Q: orthogonal paths for y^2=2cx

A: To find: The orthogonal path for the given equation. Given: The equation is y2=2cx. Calculation: Fir...

Q: [Linear Algebra] Multiple Choice: Which one is correct?

A: Solve the following

Q: x(x + y) dy/dx = x^2 + y^2

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Q: Solve the following question correctly and quickly please experts solve the question in MS Word don'...

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Q: 1. Consider the following function; f (x) = 6x A. Find the critical values of "f ". B. Use the "Firs...

A: As per our guidelines we are allowed to solve 3 subparts of a multipart question at a time. Kindly r...

Q: п! 5"

A: To find the Convergence of the given series. 

Q: Using the following conversions between the metric and U.S. systems, convert the measurement.Round y...

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Q: What can we do to show that 313 is prime?

A: Given number 313 To check whether 313 is prime or not.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.