dx Evaluate xV x2 - 4 TT 2 4 O O

Q: 4. (a) Given the points (1,4), (2, 4), (3, 5) and (4, 5). Find the equation of the straight line y =...

A: Please see the below picture for detailed solution. 

Q: Given: S 2x (3-5x+)'dx Find: Formula O -2 Ju'du 0 2 fu'du o fưdu Jư du 10

A: Given problem:-

Q: A. Express the following as a vector valued function 7 (t). 1. The line L defined by y+3=3x and z+1 ...

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Q: Find the values of x for which the given geometric series converges. Also, find the sum of the serie...

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Q: f(t) = t−3 Find  f '(t). f '(t) =          Find the slope of the graph of the function  f(t)  at the...

A: On solving this we will get

Q: 5. Find the limits: a) limg→0 4 – Vx + 16 Vz – 3 b) limz→9 z - 9 t +2 c) lim→-2 |t+2|

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Q: Function f(x, y) = 7x – 8y + 2xy – x² + y° -

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: Use tables to evaluate the integrals. You may need to complete the square or change variables to put...

A: Topic:- integration

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. n = 1 Identify an. Ev...

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Q: The graph of a function f is shown below. 2 -4 4 -2 -4 For the following questions, note that you ca...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Which of the following is/are true about the function whose graph is shown below? (6,5). (1,4) (-4,2...

A: a) function has removable discontinuity at x =-4  B) function is continuous at x = -2  C) there is j...

Q: x3 + 8 dx

A:

Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: Determine if the given function is continuous at 3. * x² + 3 f(x) = {3 – 4x (x – 12 x< 0 0< x< 3 %3D...

A: Given the query is find function is continuous or not at x = 3.

Q: In each part, determine all values of p for which the integral is improper. Enter in interval notati...

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Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O V...

A: topic - shortest distance between point and sphere

Q: Evaluate csc?x cot(cot x) dx. O- csc?(cot x) + C O cot(csc? x) + c O -In |sin(cot x)| +c O In sin(co...

A: Given query is to find indicated integral.

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

A:

Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: 7. Absolute maximum at 5, absolute minimum at 2, local maximum at 3, local minima at 2 and 4

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Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail. 

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: Create a double integral that can be used to find the volume V of the solid that lies under the hype...

A: Here, to find the volume: V=∫-11∫15-x2+3y2+3dy dx

Q: Given f(x) = x- 1 and g(x) = x2- 1 Find and simplify the following 1. g {f (x)} 2. g-1(x)

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Q: 4. Let F be a smooth vector field. Show that the flux of F leaving an infinitesimal cube of volume d...

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: sec? x dx- 4 Evaluate /1-tan x O-1 O -2 1 O 2

A: We have to find the integral

Q: -5 1 x ml-s+c O None of the other choices

A:

Q: Suppose f(x) (x + 5)(x + 2)(x + 1) a. Determine the roots of the function f. Preview b. What is the ...

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Q: х — 1 f(x) = }3x – 3 (-4x + 3 x 3

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Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Q: Evaluate: * (Зх— 1 f(x) = {5 (x + 2 x 2 x = 2

A:

Q: In Problems 1–24, find the general solution of the given differ- ential equation. Give the largest i...

A: Given differential equations comparing with dy/dx+p(x)y=q(x)

Q: Evaluate x* zdS, where S is the part of the plane z = 1+4x + 3y above the rectangle [0, 3] x [0, 5]

A: Please see the below picture for detailed solution.

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

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Q: 7 1 dv = -7 V

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Q: graphing calculator is recommended. Find the following, correct to two decimal places. (Enter your a...

A: Given query is to find the the interval where function is increasing and decreasing , and find its r...

Q: Given the differential equation dy „4x + 3y dx Separate the Variables, and then find the General Sol...

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Q: Edit Use Stokes' Theorem to calculate the integral | F · dĩ where F = (y – x)i+ (z – y)3+ (x – 2)k a...

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Q: Using diliferentials, determine the appropriate O a. 47.1 cm3 Ob.314.2 cm3 OC 15.7 cm3 O d. 539.5 cm

A: Given query is to find the the change in the volume of sphere.

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: The weekly sales of Honolulu Red Oranges is given by q = 924 - 22p. Calculate the price elasticity o...

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Q: dy 9ху — 5у dx

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Q: (a) Solve the following: 1 (i) 2-6: 8

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Q: The graph below is the function f(x) 4- 2. 4 8. |10 -7 -6 -5 -1 -- 10 -9 -8 -4 -3 -2 -2

A: Topic = Functions

Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

A:

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A: