Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h II if f(x)=-3x - 8. (Simplify your answer.)

Q: Suppose that f is a function such that lim-[f(x) - 2x²]= π. Determine, if possible, lim 118 x² +1'

A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

Q: Given the integral √64-x2dx Determine what substitution to use in order to solve this problem O Let…

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Q: 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim_f(x) = z 2 lim f(x)=…

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Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: 1. x52x²y³ + y² = 7 mi G

A: As per our guidelines we are supposed to answer only one question.kindly repost other questions as a…

Q: First use the formula A = 1 A= Find A 1 76 87 ; b= -4 -5 1 ad-bc d -b -C a for the general 2 x 2…

A: Given matrix:- A=7687, b=-4-5

Q: Exercise 1- Determine which of the following functions are analytic: 2 d- x²+îy², b= 2xy +i(x²y²)…

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

Q: Suppose f = 200x¹y and fy 200x¹y and fy = Make use of two antiderivatives f(x, y) = 160x5y³ +…

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Q: Find the limit or indicate that it does not exist. lim t->лL [( A. 7 [1] ₁ + (cos = 1] ₁ + [t COS…

A: NOTE: Refresh your page if you can't see any equations. . the given limit is

Q: f and g are continuous functions with f(-1) = 2 and the following limit, find g(-1). _lim [2f (x) −…

A: Given query is to find g(-1).

Q: Let lim g(x) = -10 and lim h(x) = 6 x →4 x→4 Determine the value of the limit lim [9+√√xh(x) x→4…

A: Given:

Q: that you report answers rs a et f(x) cos(92) cos(12) 1² cos(

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Q: Find all solutions 2 tan² x-sec²x+3=1-2 tanx on the interval [0,2TT).

A: Given: 2tan2x-sec2x+3=1-2tanx, [0, 2π)

Q: Find the critical point of the function f(x, y) = x² + y² + 3xy + 5x C = Use the Second Derivative…

A: To find the critical point of the function fx, y=x2+y2+3xy+5x. By using the Second Derivative Test,…

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: This question required a graph according to the slope of the secant line. What would that look like?

A: we have to make the graph of equation found.

Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

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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: 3) 3 sin x + 5 sec x tan x COS X √³5 dx

A: V=∫3sinx+5secxtanxcosxdxtanx=sinxcosxsecx=1cosx∫1xdx=lnx

Q: f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope…

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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 differential equation:=-y. If the general solution is y = cet ,cER, which one of the…

A: We can solve this as follows:

Q: Find the critical point of the function f(x, y) = − (36x + 6y² + ln(|x + y))) . C= Use the Second…

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Q: How can I find the height of a point off the ground, using the unit circle?  For example, the…

A: let's take a circle with the center 'O'. To find: - The height from the ground of the point P (x, y)…

Q: 31. Sketch a graph of f(x)= x³ +7x² +8x-16. Identify the x- and y-intercepts of your graph.

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Q: At what point do the curves r₁(t) = (t, 2 - t, 35 + t²) and r₂(s) = (7-s, s - 5, s²) intersect? (x,…

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Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph point (1,1)…

Q: Using the substitution u = sec(x), rewrite the integral tan7 (x) sec(x) dx as an integral involving…

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Q: 1. Consider the graph of f(x) given below: -10-8-6 -4 (a) Find the following: i. lim f(x) ONE ii.…

A: Topic = Function

Q: The graph below is the function f(x) 5 4 3 2 + -4 -3 -2 -1 ut -2 Determine the following values.…

A: Introduction: In mathematics, the limit of a function is a fundamental concept in calculus and…

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

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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: Ifa a ball is thrown into the air with a velocity of 35 ft/s, its height (in feet) after t seconds…

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Q: Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also…

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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: Evaluate the integral. Leavi √t 46. Sear √t dt= dt

A: The given integration is: ∫e9ttdt  To evaluate the integral.

Q: Find the indicated derivative. q² + 1 3q - 4 dp for p da

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Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t 4 cos (t),…

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Q: 6. Consider the graph. a.) Do the points on the graph represent a sequence? b.) Find the general…

A: Since the student has posted multiple questions and has mentioned to solve multiple questions, but…

Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

A: The differential equation that model the amount of salt in the tank is given by Q'(t)=(rate of…

Q: 3. Consider the functions f(x) = x 0.9 0.99 (a) Fill in the table below for the functions f(x) and…

A: We have to find out the values of the functions at the different x values and also the limits.

Q: h) y secx= x tan y

A: given  ysecx=xtany we know d dx(secx)=secxtanxd dx(tanx)=sec2xd dx(a.b)=a×dbdx+b×dadx

Q: Write the first five terms of the sequence defined by the recursive formula: an= -3an-1 +5 If an =…

A: given an=-3an-1+5if an=2

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

A: Given query is to find the interval where function is concave up and down.

Q: .#4 Please find the requested derivative of the following functions. a) s²-4st+t² = 4, find b) ==-v,…

A: Introduction: The derivative of a function is defined as the instantaneous rate of change of a…

Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞o where…

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Q: The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. (a) What is the…

A: we need to answer the questions using the given relation.

Q: A contour map for a function f is shown. Estimate the value of f(3, 14) 20 15 10- 5+ 70 f,(3, 14) 10…

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Q: Write the first four terms of the sequence defined by the recurrence relation below. an+1 = 3(an)² -…

A: Given a1=1an+1=3an2-7n+6   We are required to finda1,a2,a3,a4