# a) lim f(x) z-0- c) lim f(x) I-0 4 -3 4 5 b) lim f(x) +0+-z 150- d) f(0)

Q: The base of a the y-axis are triangles with the height equal to 2. Algebraically, find the area of…

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Q: Find a, and d for each arithmetic series. 61. $20=1090, 420= 102 63. S16-160, a16-25

A: Given that : S 16 = -160 and a16 . = -25.  is for a arithmetic series.   And we find the value of a1…

Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: b) fex-c - cos x + 1dx

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Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: Find the critical point of the function, then determine if it is a local maximum, local minimum, or…

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given data÷

Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: This question can be solved using the concept of solution of trigonometric equations.

Q: Select the answers that best complete the given statement. The product rule for logarithms states…

A: Fill the blanks with the help of log rule

Q: a. Sketch v - w by placing the initial point of -w at the terminal point of v. - b. Sketch v – w by…

A: Given

Q: 3. y = (x+b)(x-a). (x-b) ; y

A: A detailed solution is given below. Use logarithmic differential to solve it.

Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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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: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: Let 0 = tan-¹ (-3), then tan0 = and is in quadrant Now use trig identities to find the other 5…

A: Given problem:-

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ ak k→∞ Hence the…

A: After applying ratio test we have to tell about convergence of series.

Q: In t years, the population of a certain city grows from 400,000 to a size P given by P(t) = 400,000…

A: Take the derivative to find rate and substitute the value of t and simplify.

Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: Find the average value of the function F(x,y) = x³x ++ the region 05 XS2 and 0≤ y ≤ x². over

A: Solving

Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​…

A: Solution is here

Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…

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Q: the base of a three-dimensional figure is bound by the circle x² + y2 = 4. Vertical cross sections…

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Q: Cristina wants to enclose a rectangular field with four internal partitions as shown. If there is…

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Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.

Q: Find the the domain of the function f(z) = O {x|x / 10} O{x|x + T} O x x 10 and x-7} O x 1 x -10 and…

A: Find the domain of the function

Q: d Calculate [ri(t)- r₂(t)] and [r₁(t) × r₂(t)] first by differentiating the product directly and…

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: y = (In x) x , find dy/dx. Oy y' = (In x)* (1 + ln x) O y' = (In x)*¹ [1 + x (ln x) (ln ln x)] O (E)…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: In this question we have to find limit of the function and check discontinuity.

Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

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

Q: 4. y ln x + xesin y = 0=

A: Given

Q: Find the area of the shaded region. f(x)=8x+2x²-x³, g(x)=0 The area is (Type an integer or a…

A: Here we have to find the area of shaded region.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

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

Q: Let C be the parametric curve defined by Sx(t) = t² - 2, y(t) = t³ - 3t + 1. Determine if C is…

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Q: 1. Consider the graph of f shown below. Using geometry (areas of rectangles and triangles),…

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Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +3 1 = lim t+ (?, ?) 8t2 +9'2t

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Q: X 1.-+ J y = 37ab2, y" X

A: Let's find.

Q: 9- Give five examples about application of polar coordinates in real life

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Q: The equation of motion is given for a particle, where s is in meters and is in seconds Find the…

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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