QUESTION 7 Find tan (sec¹(5)) 6√6

Q: Find the limit: (-3 Note: You 0 this problem lim t-0 -3t t -1 4.6 t7t6 7 8+ t

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Q: Consider the function f(x)=x²+x and the point (1, 2). (a) Find the slope of the tangent to the graph…

A: Slope of a function y=f(x) at a point (a,b) is given by y'=f'(x)x=a=f'(a)ANd equation of tangent at…

Q: Consider the following functions. 2 X x²1¹9(x)= x + 1 f(x) Find (f + g)(x). = + Find the domain of…

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Q: sinh(2ln(c))= (A) + 1 2c² (B) c² - 2/2 (C) 2-2/2/2 2c² 1 (D) c- ! C (E) 0 1:37 A

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Q: In a international students' org, 85% speak Spanish, 40% speak English, and 20% speak Hangul. Also,…

A: Topic-Venn diagram We are given People who speak Spanish=85% People who speak English =40% People…

Q: d) y VT 3 + 2 (√)

A: Given y=x32+3x5

Q: Consider the following functions. 2 f(x) = x ² ₁₁ g(x) = I + 1 Find (f + g)(x). Find the domain of…

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Q: 70-5 10 Problem 8: Find f'(x) - 9 f(x) = x 5+1 X ³-1

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Q: Find ACD, if possible. A = 2-1 0 1 2-3 C = -2 03 3-22 -1 33 D = 1 -2 0-1 3 1

A: Given A= 2-11 02-3,   C= -203 3-22 -133 and D= 1-2 0-1 31To find: ACD

Q: x³ - 1 3 4 lim x 1 x

A: We can find the limit as below.

Q: Find the average value have of the function h on the given interval. h(x) = 4 cos(x) sin(x), [0, π]…

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Q: Let f(x) = 3x - e. Find the value of a such that f'(x) = 0. A 0 B In(3) Ⓒ 4e

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Q: 2 y = √√√x² + 1

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Q: For the function f(x) = |2x − 8], evaluate the left and right limits of f(x) as x approaches 4.…

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Q: 2. Let f(x) = 3x(x² − 1)(x³ + 2x + 3) (a) Use distribution to expand the function. (b) Use the rules…

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Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

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Q: Challenge #4: Sketch the DERIVATIVE of the graph shown here. T -8 √ 8 S 4 -4 4 K 8

A: see below the answer

Q: 2. On the graph below, sketch the tangent lines at the points x= -1,0,2,3, and clearly label the…

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Q: Solve the following differential equation. 2y""+11y'''+18y"+4y'-8y=0

A: We have differential equating 2y4+11y'''+18y"+4y'-8y=0 Auxiliary equation 2m4+11m3+18m2+4m-8=0 Lets…

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: 6 y = 5x + 6 Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the…

A: The standard form of line equation is  y=mx+c  where  m= slope=6/5 c= y intercept=6

Q: 4] 5] Find the curvature of y=x² at (1, 1). Find the curvature function for r(t) =. ***** wwwwww

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: Which of the following is equivalent to S after appropriate half-angle substitution is used? Hide…

A: ∫11+cosx+sinxdx

Q: Show the ODE is not exact, but can be made exact. SOLVE. (x+x+2y + 1) dx + (x + 1) du 0 =

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Q: 2. A can of Pepsi is taken from a refrigerator, its temperature is 5°C. After 20 minutes, in a 20°C,…

A: we need to find the after how many minutes, the temperature reach 150C.

Q: Find the derivative of the function y x² + 6x +1 √x

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Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

A: I am attaching image so that you understand each and every step.

Q: Find the absolute minimum value of the function f(x) shown below. Give just the value as your…

A: According to the given graph Absolute minima is the minimum value of the function

Q: The angle measures of AJKL are in radians. J sin (7) L = 11 AA What is the value of sin ()? Enter an…

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Q: Consider the following. x = sin(6t), y = -cos(6t), z = 12t, (0, 1, 2) Find the equation of the…

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Q: Given f(x) = 4x + 1 and g(x) = 3x – 4, find- [] d [f(x)] dx g(x) (A) 2 d [g(x)] dx f(x). d [g(x) dx…

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Q: how do we know when to use a trig subsitution?

A: how do we know when to use a trig subsitution?

Q: QUESTION 13 g(x)=3+x+e* Find g-¹(4). Do not type 'x='

A: Please see the below picture for detailed solution.

Q: 3. Substance A is being observed and it was recorded that its half-life is 6 months. Determine the…

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Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

A: I am attaching image so that you understand each and every step.

Q: .If f(x) = sec(x) tan(x), then f'(3π):

A: Given data, fx=secxtanx

Q: A rectangle's length L(t) and width W(t) (measured in inches) are varying in time (t, in minutes).…

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Q: 2. Given the vector function (t) = (cos 2t, sin 2t, tan² 2t), find a) The unit tangent vector T (t)…

A: Given question :- We have to find unit tangent vector and equation of tangent line at the given…

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: Fluid force=∫abρh(y)d(y)dywhere ρ is the density of liquid            h(y)  horizontal length of the…

Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x²-21) = -5 X-4…

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Q: choose the correct answer Solve for the mode of the given FDT. a. 30.73 b. 31.35 c. 46.12 d. 42.92

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Q: a. limx→o f(x) MATH 190: CALCULUS Exam 1 Problem 1: The graph of f(x) is given. Find each limit or…

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Q: Evaluate So (ti+t²j+t³k)dt = i+ j+ k.

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Q: Determine the interval(s) for which the function shown below is increasing. Provide your answer…

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Q: Determine the domain of the function f(x) = √x x² - 64 (Give your answer as an interval in the form…

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Q: lim h0 x + h - Vx h

A: The answer is given below:

Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

A: Equation of planes passing through points x1,y1,z1,x2,y2,z2,x3,y3,z3…

Q: Discussion Unit Write an example of a function whose derivative can be found by using the following…

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