For the function f whose graph is given below, state the following: y a. lim f(x) 818 b. lim f(x) 8118 c. lim f(x) X-0 d. lim f(x) X-2 e. lim f(x) X-2+ f. The equations of the asymptotes X

Q: 1. what is the basic concept of a derivative? How is this derivat calculated? What techniques/ have…

A: Topic:- calculus

Q: Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d) 1+2i…

A: Plotting the given complex number in argand plane

Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

A:

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: An automobile manufacturer wishes to control the number of nonconformities (defects) in a…

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

Q: 3 2s² (s²+5)) Find L 4 transformation. by using the properties of inverse Laplace

A: We have to find the inverse laplace.

Q: Find a function f such that for any real number x such that 2√x + tan-¹x In csc x [₁₁ (1) dr = 3 +…

A: To find a function f such that for any real number x such that ∫-1xft dt=2x+tan-1 xlncsc x+π

Q: method included 1. U- substitution 2. Trig techniques 3. Trio Substitution 4. Parts, 5. Partial…

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Q: (2x² - x - 1) x³ - x² ; 2 dx

A:

Q: 6. Compare and contrast the properties of the 1st Derivative of various functions with its 2nd…

A: The first derivative is the slope of the function, and the first derivative test is used to find the…

Q: Find the area between the curves Y=2x-x² and y=-x.

A: We have to find the area between the curves.

Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

A: Given query is to find the interval where function is continuous.

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

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

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=1∞3n51-n

Q: Double Integrals In each problems a) sketch the domain F over which the integration is performed;…

A: Given problem:-

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function is:

Q: Suppose we have the points A = [0, 1], B = [1, 3], C = [2, 2] and D= [3,2] (you may have to move D…

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

Q: Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric…

A: Given, In right ∆ EFG the right triangle is at F. EG = 8 & FG = 6 TO BE FOUND : Cot G Sin E Sec…

Q: f(x)= X-I x=1 √x-1 X = 1 1123 -s continuous at x = 1?

A:

Q: vergence of the following power series Find the radius of conver E n+ 1x² 41 n=0

A: We have to find the radius of convergence of the power series ∑n=0∞ n+1n2+1 xn.

Q: Lance was excited when he saw a listing for a corner lot 30 meters on one end and 40 meters on the…

A:

Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: se the Ratio Test to determine if each series converges or diverges. 3n+2 ΙΣ Inn 2 n=2

A:

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: What is the rectangular equivalence to the parametric equations? z (0) = 4 cos 0+2, y (0)=2 sin 0-5,…

A:

Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

A:

Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.

Q: Factor the difference an+1-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

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Q: the convergence and divergence of the following S vergent series. b) Σ=13*51-n

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Q: If there are three functions, such as f(x) = x, g(x) = 2x and h(x) = 3x. Then find the composition…

A: We know, [f∘(g∘h)] (x) =fghx

Q: 1 X x2 – a 2 dx

A:

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

A:

Q: Use Integration by parts to solve: Sxe cosxdx

A:

Q: 1. what is the basic concept of a vector?

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Q: 1. Let matrices be 6 -2 -21 [3 1 -4 0 A = 10 -3 1 C=0-2 14 0 L-10 5 1 -4 0 11 5 a = 1, b = [308]…

A: PLEASE REPOST THE QUESTION TO GET THE REMAINING PART TO BE SOLVED

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

A:

Q: the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.2x + 35,  find…

A: Topic:- application of integration

Q: 9. fif broken into partial fractions falls under a. distinct, linear factors b. repeated linear,…

A: You must have idea about basic algebra and partial fraction decomposition to under this better.

Q: What function will you differentiate to get each function? 2. f(x) = 8x7 - 4x³ + 2x - 3

A: dxndx =n.xn-1

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A:

Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

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Q: The point P(2,-1) lies on the curve y = Z a. If Q is the point (x,), find the slope of the secant…

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Q: Evaluate fx cos² 2x² dx

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Q: Point T(√3/2, 1/2) is the point of intersection of the unit circle and the terminal arm of angle…

A: This question can be solved using the concept of polar coordinates.

Q: 1) Solve the following equations for x: a) 2e6x = 18 b) = 1 c) 2* = e5 e +²

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Q: e*.dx ,2x - 16

A: