Is it possible for a function f to attain only positive values (that is, f(x) > 0 for all x) and still f ′ (x) is always negative? If yes, sketch an example graphically. If no, explain why

Q: Let x = 6.99999.... (a) Is x 7 x = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

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Q: Find points of intersection of the graphs algebraically.

A: This question is related to intersection of graphs, we will solve it using given information.

Q: It is a fact that the function  f(x) =  (9x2 − 2) (4x2 + 4)  has a limiting value. Use a table of…

A: We need to find limiting value.

Q: 8) Evaluate the following without the use of a calculator arccsc(-√2)

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Q: Can you please specfically tell me what the two intercepts are.

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: Topic - Extremas of the function

Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: 1 ) [ x (x ² − ² + + + + ) dx i) - x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Describe the x-values at which is differentiable. f (x) = { 3²-7 x²-3x≤0 3-x²x>0 T -2 2 -2 The…

A: Let's find function is differential or not.

Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: In the following exercises, use direct substitution to show that each limit leads to the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: I have stated the used formula in the solution

Q: Use synthetic division to find the result when 3x4 - 3x³ +16x²-117-31 is divided by a + 4. Write…

A: answer is in next step . please give a like !!

Q: Express the function in the form f o g. f(x) = g(x) = F(x) = sin(x)

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Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…

A: We have to describe the transformation and mapping rule.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Find the complete solution of d dt 5t Vs

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Q: Consider the function with the graph below. -6 (Click on graph to enlarge) What is the Domain? What…

A: To find out the domain and range of the function from the graph.

Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

Q: 4 cos x -dx 1+ cos x

A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: Consider the following function. f(x) = x + (-4,-5) (a) Find an equation of the tangent line to the…

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Q: 1 cosa + sin æ sin y = sin 3y (³) COS (2) for all az and y such that x + y = 2

A: Given: LHS:            12cos x+sin x sin y=12cosπ2-y+sinπ2-ysiny=12siny+cosysiny=sin2y+siny2=122…

Q: For the following exercises, construct a polynomial function of least degree possible using the…

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Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

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Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: Graph the function given below by moving the vertical asymptote, then the value of the -intercept.…

A: Let's draw the graph.

Q: 4) Find the equation of the line (slope-intercept form) passing through (-1, 3) and a) Parallel to…

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Q: 20. J 1 (x+25)√√x dx

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Q: Prob. 2 Find the derivatives of the following functions using any technique available. (a) (ots)…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

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Q: Where is f' = 0 ? at a What are the values in the closed interval [-1.2, 1.5] where f' undefined? at…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…

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Q: If  f(x) = 3x + 4 and g(x) = 5 x,  find f(g(x)) and g(f(x)). f(g(x)) =        g(f(x)) =

A: We have given  f(x)= 3x+4 and g(x)=5x  We have to find  1) f(g(x))  2) g(f(x))

Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Use linear approximation (or differentials) to estimate the given number. Estimate sin (5°) using…

A: 1. we have to find sin5° using that sin0°=02. we have to find ln3 using that lne=1 use the linear…

Q: 2. Find the area enclosed by T = @ cos 30-

A: We need to find area.

Q: Consider the following graph: 28 14 1 3/14 6,28 x a) Write an equation for the graph with a single…

A: Given

Q: In *In ecot³x dx feln sinx

A: We need to evaluate integral.

Q: LORAN (long distance radio navigation) for aircraft and ships uses synchronized pulses transmitted…

A: answer is in next step , i can only answer one question as per guidelines.

Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

A: NOTE: Refresh your page if you can't see any equations. . take Laplace use the Laplace rule

Q: (D²+4D+5)y=35e : y(0)--3, y'(0)-1

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Q: 2. ∞ Σ Find the sum of the convergent series: n=1 1 4n2 –1

A: Find the sum of the convergent series 1/(4n2-1) from n= 1 to infinity.

Q: Find the minimum and maximum of A over a particular interval [0,6]. -1. The graph of y = f(x) is…

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