The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O (2r – 4) da None of the others. o f 2z dz L 2x da O (2r – 4) da

Q: The three points P(4,3,2); Q(5,4,3) and R(7,6,5) are on the same line. Select one: O True O False

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Q: Show that the differential equation x’y³ + x(1+ y³)y' = 0 is not exact, but becomes exact when multi...

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Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)   

Q: f(−4) = −7,     f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

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Q: Can you please answer both

A: see below the answer and calculation

Q: Is the function f (x) below continuous on [3, +∞)? (0, x > 0 x, 0 3 Choose Choose Choices Yes nuc No...

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Q: 6. If x = a + bsin t and y = a + bcos t, then the value is D. – cott A. -b tan t B. b tan t C. – tan...

A: x=a+bsint,y=a+bcost

Q: suppose that f(x) is a function with f(150) = 49 and f '(150) = 3. estimate f(154). f(154) = ____

A: To solve the given problem use the following formula. f(x) = f(x0) + f '(x0) (x - x0)

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

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Q: Which of the following is equivalent to 5a + 4xª + 3² + 2 dæ ? Select one: | (5æ² + 4x + 3æ1+ 2x¯³) ...

A: We want to select the correct answer from the given options

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is...

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: Q2: find the integral of trigonometric function cos sint dx

A: To evaluate the integral: I=∫0πcos5x sin4x dx⇒I=∫0πcos4x sin4x  cos x dx⇒I=∫0πcos2x2 sin4x  cos x dx...

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40

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Q: Q3: Find the solution of x.y and z by using Gramer's Rule 2x 4y = 6 x+y+z 1 5y +72 10

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Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a +...

A: i) f(x)=ex , a=ln 4ii) fx=ln x, a=3

Q: sin x cos“x tan® x dy Given that y = find using dx logarithmic differentiation. dy dx ||

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Q: The table shows the results of a survey on the average amount of money d, in dollars, consumers woul...

A:  Given: X Y 25 42 28 36 33 26 35 22 42 8 Straight line equation is d=ax+b The normal...

Q: S 2" +1 2n +n

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Q: Evaluate: using inner limits 0 to y and outer limits 1 to 2. а. 0.82 O b.0.375 с. 0.71 O d. 3.75

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Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 O Always True O...

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Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

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Q: 2x + 6 Consider the function f(x) = For this function there are two important intervals: (– 0, A | 6...

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Q: (3х — 1, if x 1

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Q: A smooth vector field G has curlĞ (0,0, 0) = 37 – 55+ 7k. - Estimate the circulation around a circle...

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Q: 7-18 Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the ...

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Q: (2² – V)7*. Find dy using any method. dx Let y = - dy dx

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Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

A: A detailed solution is given below

Q: Evaluate; | em(sin2x) sin2xdx sin 3x +C 3 A sin?x +C 2 B sin*x +C 4 sin4x +C 2 D E None

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Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = - 0.08...

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: Moving to another question will save this response. sestion 2 A curve has an equation of y = x³ - 6x...

A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0  

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: Scientists took 94 ice core sections from a glacier. Each section was in the shape of a right circul...

A: Given :Total ice core sections from a glacier=94Diameter of each section : 0.1mlength : 1 m

Q: Solve the following Differential equations. (x²+xy*)y' =y°

A: Given, The differential equation x3+xy2y'=y3 We have to solve the differential equation.  

Q: e" dx Find (ez +3)(e –5) Find S In(x)x²dx.

A: The first question can be solved using the concept of partial fraction and the second question can b...

Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: As you know, when a course ends, students start to forget the material they have learned. One model ...

A: The first thing you need to do is set up the problem relating the change in y to the quantities y,a,...

Q: According to th an average of 1. Saturdays, whic of time the stuc the Internet on A) Between 3. B) B...

A: The best fit line gives the best estimated expected value of the variable observed from data trends....

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

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Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: Suppose an object in circular orbit stops in a position where cos(0) The terminal point is located i...

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? Vx- [2, +0...

A: f(x) =1/x-2 for make f(x) contineous x-2 &gt;0 and  x-2 is not equal to 0 so x&gt;2 so our answer is...

Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

A: area and right end sum

Q: An antiderivative of 피(22 - 1)3 is (2² – 1)4 8 Select one: O True O False

A: The given question can be solved as shown in step2.