1. Solve the linear inequality. Draw the graph of the solution and write the solution in interval notation. -5>6(c-4)+7 Graph: Interval Notation

Q: Find dy dt = dy dt - for y = cos 2 (4nt – 7).

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Q: (a) lim f(x) x-0- (b) lim f(x) 21- x-1- (c) lim f(x) x-2- Ι

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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Q: Find for each pair of functions. dy dt y=x²-7x, x= 1² +1 dy dt 11

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Q: 2y(y2 - x)dy = dx

A: Given data :    2y(y2 - x) dy = dx

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A: As per the instruction, we will be answering the first question. Given: For (a),

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A: Topic = Function Correct graph =D

Q: 1) Find the egin of the tangent I normal line to the graph y y=√x-1 at the point (3,2) 100

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Find the derivative of the function using the definition of derivative. g(x)=√2-x g'(x) = 1 2√2-x…

A: Solving the following problem

Q: Example 6: Define a function g satisfying g(x): = sinx for x 0 yet g is continuous at x = 0.

A: A detailed solution is given below.

Q: QUESTION 13 Use the horizontal line test to determine whether the function is one-to-one. -10 00 No…

A: In a horizontal line test we draw lines parallel to x axis on the XY plane on which the graph of the…

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Q: A solid object placed along the x axis has cross sectional area at a value x equal to A(x) = e^2x.…

A: A(x)=e2xgiven interval is -1,3formula for volume isV(x)=∫abA(x)dx

Q: -5 -4 -3 -2 -1 5- 4 3 2 1 -2 -3 * 2 3 4 5 Use the graph of f(x) above to estimate the value of f'(0)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Estimate the limit numerically or state that the limit does not exist (DNE): sin(10x) 70 Give your…

A: Given query is to find indicated limit .

Q: Evaluate the definite integral ²¹ (1029-23) dr

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Q: 3. Let f(x) = c.(x-4)+2 if 0 ≤x≤4 if x > 4 where c denotes a real constant. (a) Show that lim f(x) =…

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Q: 3 Find an equation for the line that is tangent to the curve y=x²-9x at the point (3,0). The…

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Q: The graph of y=x is translated 3 units to the right Oy=√√√√x - 3 Oy=√√√x-3 Oy=√√√x+3 Oy=√√√x +3…

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Q: Consider the function f(x) = 5x² 40x on the interval [0, 7]. Find the absolute extrema for the…

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Q: farmer has 1000 feet of fence and wishes to enclose a rectangular plot of land. The land borders a…

A: Given query is to find the length of the side for maximum area.

Q: Let P(h) = where we are using "exp" to denote the exponential function with base e. That is exp(u) =…

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Q: ving integrais using x² +1 a) √x³+2x²+x x³ b) S x3+x²-x-1 x8 c) √(x+2)²(x-2)²

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 3.4. A company that makes smoothies is planning to market its product. After a market survey they…

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Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: 1. For the function f(x) = x² + 2, use the limit definition of derivative to find f'(-2).

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Q: Consider the differential equation dy dx The differential equation has an equilibrium solution at y…

A: To find the limit of the give function.

Q: 0 31 K Find the derivative of the function. y = − 7xln (7x + 1) 히증 =

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Q: = (L) (dob) ▪▪▪▪▪ = (L) (bod)

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Q: Sketch the region and find its area (if the area is finite). S = {(x, y) |x ≥-2,0 ≤ y ≤ 21e-2/2} 1 e…

A: Please find sketch and area of given reason in below step:-

Q: 3. Write the first five terms of the sequence given by an = (-1)" (2n + 1). Show all work. Write…

A: given  an=(-1)n(2n+1)for a1, put n=1

Q: Given f(x, y) = sin(x + y) where x = st5, y = 6s-5t. Find ft =

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find an appropriate parametrization for the given piecewise-smooth curve in R³. x² + y² 4 16 C(t) =…

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Q: he following figures show the price of gold per ounce, in dollars, for a 10-business-day period.…

A: Price variation of gold as follows  1,030, 1,026, 1,035, 1,025, 1,026, 1,022, 1,016, 1,029, 1,003,…

Q: Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use…

A: For given graph for (-∞,0) slope is positive but decreasing.   ( cancel out option 4)at x = 0, slope…

Q: The percentage of deaths caused by smoking-related heart disease is represented by the function P(x)…

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Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

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Q: In a local election, a group hired a public relations firm to promote its candidate in three ways:…

A: Let consider two matrices  M and N. The order of matrix M isM:->P x Q The order of matrix N…

Q: Solve the following initial value problem for r as a function of t. d²r dt² r(0) = 7i+4j+6k dr dt…

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Q: 2) Evaluate the following: a) [((sin² x) In(x² – 3x + 1)(tan¯¹ x)) dx] - dx

A: Given :ddx∫45sin2xlnx2-3x+1tan-1xdx

Q: 4. Let f(x) = Ax² + B√x. Find A, B such that the following two statements are true: = 0 to x = 4 is…

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Q: Suppose log2=a and log 3= c. Use the properties of logarithms to find the following. log,864b…

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Q: Question 1.Consider the first order equation:(sec2(y))y′−3 tan(y) + 12 = 0.  This equation is not…

A: To find he solution of the given differential equation.

Q: Find the values of a and b that make the following function continuous. 9x -C 9x if x 2 f(x) What…

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Q: Find the derivative of the function using the definition of derivative. f(t) = 8t - 3t² f'(t) =…

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Q: The population of a city can be modeled by P(t) = 10e0.04t thousand persons, where t is the number…

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Q: Given f(x)=(2)/(x-1) find f′(4) using the definition of a derivative.

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

A: Solution: y=5x ; x =25,  x = 36 so, f(x)=5x