What is the range of this function?

Q: Use logarithmic differentiation to find the derivative of the function. e2x(x3 - 2)4 x(3e5x x + 1)…

A: f(x)=e2x(x3−2)4x(3e5x+1)

Q: d) f(-12) = e) lim f(x) = 118 f) lim f(x)= +8-个H g) lim f(x) = x4-8 h) f(-8) = i) lim f(x) 8118 = =…

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Q: -2x² Estimate the area under the graph of f(x) = e (round your answer to six decimal places) M₁ =…

A: Given , f(x) = e−2x2To estimate the area under the graph of f(x) from x=0 to x = 2 with n =4

Q: Find the equation of the plane passing through the three points. P =(4,-1,8), Q = (1, 1, 1), R = (3,…

A: P=(4,-1,8)Q=(1,1,1)R=(3,1,-2)

Q: Given the function f(x, y, z) = x² + y² + iz², compute the partial derivative with respect to z. y.…

A: Given, the function  then we have to compute the partial derivative with respect to x, y, and z and…

Q: 5: For the curve r(t) = (t sin t)i + (223/2)j + (t cos t)k (a) The curve's unit tangent vector at t…

A: Unit tangent vector along  is

Q: Let y = log3(7t +27) - 4. (a) Find the vertical intercept. Express your answer as a point. (b) Find…

A: The given equation of function

Q: In a Washington town, the charge for commerical waste collection is $694.55 for 5 tons and $1098.32…

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Q: a. Find a curve with a positive derivative through the point (1,1) whose length integral is given…

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Q: Roman is running a picture-framing business. Refer to the given break-even chart for his business…

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Q: Find the general solution of the logistic equation dy dt y Use C for the arbitrary constant (and t…

A: Given that a differential equation and we find the solution of this equation.

Q: 4-01 the (without using L'Hopital Rule).

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Q: Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Use upper case…

A: Given Functions

Q: Determine the end behavior by analyzing limits, providing graph showing asymptote

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Q: Sketch the graph of the function. -2 f(x)=x-1 In(x) -1 if x ≤ 0 if 0 < x < 1 if x ≥ 1 y 2 y 1 2 X…

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 2), (3,…

A: Let suppose the vertices of the triangle is Then the Area of the triangle is given as follows

Q: Solve the separable differential equation dy dt = y(t) = - 2y5, and find the particular solution…

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Q: Let f(x) = a. f(2)= x if x ≥ 4 .a. Find f(2), f(4), and f(5). b. Sketch the graph of y = f(x). 4 if…

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Q: sin² n (2) Σ01 n=1 2n

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Using separation of variables, solve the initial value problem, dy dx - x¹e² = 8e", y(0) = 5

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Q: Please show your handwritten complete solution. Thanks! Obtain the general solution of the…

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Q: 7. Suppose that the series uk converges, and Σvk diverges. Show that Σ(uk + vk) and lau a) both…

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Q: Consider the following. |x - 61 lim x 6 x 6 -10 y 4 2 -2 50 10 X Use the graph to find the limit (if…

A: we have given a graph of function in which at x=6 , function is discontinuous.we have to find the…

Q: Write a brief summary of what you understand about the following: 1. Finding Limit graphically and…

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Q: Use the graph of g(x) = x³(x + 1) x+1 given below to find each of the following.

A: g(x)=x3(x+1)x+1

Q: A formula for a function y= f(x) is f(x) = 3x³ + 1. Find f (x) and identify the domain and range of…

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Q: Find the length of the following curve. X 11 32 y 3 1 IN - y from y = 3 to y = 11 3 N|W 2 y The…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: Notice that the curve given by the parametric equations x x At which t value is the tangent to this…

A: In applied mathematics, parametric equations are frequently encountered, especially in physics,…

Q: The graph of f is given below. Use the graph of f to determine the given limits and function value.…

A: Solution is following in step 2.

Q: 4. Show that the triangle with vertices (1, 1, 1), (2, 3, 2) and (4,-1, 2) is a right triangle.

A: Vertices of triangle are:

Q: The graph of an equation is given. a. Find x and y-intercepts. b. Find symmetries (if any), about…

A: Given graph of ellipse

Q: To achieve the maximum benefit for the heart when exercising, the heart rate (in beats per minute)…

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Q: The average price of a ticket to a baseball game can be approximated by P(x) = .04x2 + .52x + 9.38,…

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Q: lim X11X √16x² + x x

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Q: |x|³ +4 graph of f is given below. Use the graph of f to determine the given limits. Enter DNE if a…

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Q: fn shift For the function f and interval [a, b], use definite integrals and the Fundamental Theorem…

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Q: Name: Example 9: Prove that lim(4x - 5) = 7. Example 10: Prove that lim √√x = 0. x→0+

A: 9)limx-3(4x-5) =710)limx-0+ sqrt(x)=0

Q: The graph below is the function f(x) 5+ 4 3 2+ 01 -5 -4 -3 -2 -1 4 -2 -0-3 -[-←x -1 -4- -5+ Find lim…

A: The graph of the function  is given below.To find the following.

Q: Does fx(x,y) when at (a,b), fy(x,y) has to be at (a,b) Explain why statement is true or explain why…

A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: What is the instantaneous velocity?

A: Instantaneous velocity : It is defined as the rate of change of position for a time interval which…

Q: In 2000, there were about 200 million vehicles and about 281 million people in a certain country.…

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Q: A shipment of fruit is delivered to a warehouse. The boxes containing the fruit also contain fruit…

A: Population of fruit files in the warehouse as a function of the number of days since the boxes were…

Q: 4-x-x² 2x - 1 if x ≤ 1 if x > 1 Evaluate the following expression. For f(x) = lim f(x) x→17

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Q: Solve y'= 5x¹y², using separation of variables, given the inital condition y(0) = 7. y = E

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Q: Use the shell method to find the volume of the solld generated by revolving the shaded region about…

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Q: Write the differential equation of the following satisfying the given conditions. 1. Family of…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly re…

Q: Solve the separable differential equation dy dx -0.4 cos(y)' and find the particular solution…

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Q: A two pound weight is hanging in a system that has acheived equillibrium (not moving. Find 7₁ and…

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Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

A: To find:-