Evaluate the following: 8 Arc cos(- 17 -1 cos tan - 4.

Q: True or False? The product of two imaginary numbers is always an imaginary number.

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Q: For f(x) x2, wr F(Xth

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A: Given,Average score as a percentage,S(t)= 76-14 ln(t+1) , 0≤t≤80Initially,At t=0:S(0) = 76 - 14 ln(1...

Q: Given the function, g(x) x 2 a. Determine the possible points of discontinuity. b. Discuss the conti...

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Q: Given the equation (cos x + 2 sin x)2 S Cos x If you integrate the given equation, the answer is

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Q: The functions f and g are defined as ​f(x)=4x−1 and ​g(x)=−2x2.   ​a) Find the domain of​ f, g, f+​...

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Q: The letters A,A,A,B,B,C,C,D,E,F,G,H are printed on identical cards (one letter on each card). The ca...

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Q: What is the area bounded by the curve z = tany and the y-axis from y = to y =}? 18 (P+0)(--+36) O n3

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Let ū = -4î + 4ĵ – 3k and i = î – 25 + 2k. (a) Let w = proj, ū. Compute w. (b) Compute u-w and show ...

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Q: shopper covered a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on ...

A: Distance of 5 yards is covered in 9 equal hops.How much distance is travelled in 1 hop.To find the n...

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j ...

A: Given: - The function is, r(t)=ti+5tj+t2ku(t)=5ti+t2j+t3k To find: - The derivative of (2t)u(t),

Q: Evaluate: s 1012 de 01 0-1

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Q: Evaluate using Trigonometric Substitution: dx I+v o 음V1-VE(V-2) + C o 을V1+vE(VE-2) + C O None of the...

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Q: Evaluate f (2x + 1) dx by two methods: (a) Expand (2.x +.1)' by the binomial theorem; (b) let u = 2x...

A: Given that ∫2x+13dxa. using binomial expantion2x+13=c302x3+c312x21+c322x112+c3313=8x3+34x2+32x+1=8x3...

Q: d. lim g(t), where g(t) = 1 2, t> -2 ={* rt+2,ts-2 %3D

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Q: If f(x)=3lnx​:   A. An estimate of f′(1) using the interval from 1 to 1.1 is_____. B. An estimate of...

A: Given:     f(x) = 3 ln x

Q: Find the first and second derivatives of the functions in Exercises ( E q² +3 12q

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

Q: Find the derivative of ?(?) = −7 cos(4?). using the chain rule

A: We have to find the derivative of given function using chain rule in differentiation.

Q: Find the determinant of the triangular matrix. -2 0 8 7 -7 6 -4 Use expansion by cofactors to find t...

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Q: Evaluate 23x ex dx · O (8e)* In8e + C O (2e)* + C In2e (2 e)* In2e + C O (8e)* + C In8e

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Topic = Integration

Q: 4 at the point 6, The slope of the tangent line to the curve y is: 3. 2)

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -5 -10 -15- 1. lim_ f(x) 2. l...

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Q: (b) i. Label the blue curve with a function h and the green curve with a function k. ii. Using the g...

A: Given graph:-           To find:- i. Label the blue curve with a function h and the green curve wit...

Q: Let R be the region in the first quadrant bounded by the graphs of y = V9x and y = Let V be the volu...

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Q: -6e' sin(at – 3) dt

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Q: Consider the function 7 f(x) = 2 2 - - 5 -1<<3 3.x-17 3 < z<∞ Graph the function and use the graph t...

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Q: Which of the following is/are signified by lim f(x) = ∞o? OThe value of x goes out to infinity, when...

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Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: d Use the table below to find [1.3g(x) dx x= 1 1 3 4 5 f'(x) g'(x) 1 3 2 4 3 2 5 1 4 d [1.3g(x)] dx ...

A: Simply differentiate and put all the values.

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: a metal sheet is to be cut to form a 3 by 4 by right triangle. if angle A is formed by sides with le...

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Q: 2.7 2.8 2.9 3. 3.1 h(q) 2435 2975 3633 4438 5420 Estimate h' (2.9) using the table above.

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Q: b. Complete the table of values below. Bla ol values fx) = 2", g(x) = 2 und h(x) = 2 -1 -3 -2 2 g(x)

A: f(x)=2xg(x) =2xh(x)=2x-1   replace x  by the given numbers one after the other to find the value of ...

Q: For the functions f(x) = /4x – 1 and g(x) = 2x - 5, find (g o f)(1.2). (g o f)(1.2) =D (Round answer...

A: The functions are given by fx = 4x-1 gx = 2x2-5 To evaluate: The value of g∘f1.2

Q: about the X-axis the region bounded Find the volume of the Solid by rotating region boundod by the c...

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Q: 8.) f(x) = v5x* – 12

A: Given:        fx=5x6-12        fx=5x6-1212 differentiating on both sides    f'x=ddx5x6-1212

Q: A cylindrical tank of radius 5m and height 18 m that tank two third filled with Liquid (Liquid asity...

A: Follow the procedure given below.

Q: Find the derivative of coth (gx) 3 tue fuchion y =

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Q: The limit below represents the derivative of some function f(r) at some nur 6(2+ h)-96 lim h State t...

A: Given query is to find the the function and the value of a.

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

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Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t xh'(x)=ddx74sinh2x-7x2h'(x)=ddx74sinh2x-ddx7x2h'(x)=74cosh(2x...

Q: (2) An open metal pan is to be made by cutting out squares of the same size from the corners of a re...

A: the volume of a rectangular box  domain  the check function is continuous of not

Q: 8x10+2x-3 4. Find lim using rules for limits at infinity.

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Q: certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours. onsider ...

A: We can use exponential decay function to solve the problem

Q: III. Given: ,X(0)= 0 ,0st< 4] X'-2X = G(t) where : ,124 Solve for X(t) IV. Given: X'(t) + 2 Y(t) = -...

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Q: Let f be twice differentiable with f(0) = 6, ƒ(1) = 5, and f'(1) = 3. Evaluate the integral So x f"(...

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Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital ca...

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Q: Given f(x)=3x+8, evaluate (f(x))^2

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Q: Let r(t) = (5t + 2, 2t^2 − 3, 2/(1 + t^2). limt→0 r(t).

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