Given t = x + ex, find dx/dt

Q: A/ Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: Find the derivative for each function be low at x=1 a) flac) 6) fla) = 2(x-1)5 %3D Vox2+1) e ) fx) =…

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Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: a. Draw the fuunclion y=1x1/

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Q: In S-2 dz 2ydy if we let y=z+4, then the new integral becomes Vz+4 -2 y-2 A True B) False

A: Given ∫dzz+4-2

Q: (1 f(x) ={ 5 if x = 4 at x = 4 if x + 4 x - 4

A: limit continuity differentiability at x=4

Q: Consider the function below defined on the indicted interval. f(x)= -(10x+x^2), [-10,0] Find the…

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Q: 2 dr sech 2r= e2r +e-2r A) True B) False

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Q: -1 if x <0 (x) 3D{0 if x 0

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Q: Let A = (1, -2) and B = (6, 2). Solve for projyA. %3D

A: projBA  implies projection of A on the vector B. projBA =A·BB2 B  ............(1) A·B is dot product…

Q: There are 150 students in the marching band, and 30 of them play the trumpet. Which number line…

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Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: S sin?x cos³x dx i sin*x -sin*x + c i sin*x +sin°x + C O A B -sin'x -sin'x + d

A: The given integral is ∫sin3xcos3x dx We evaluate the integral using proper substitution. At first we…

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Consider the following planes. 3x + 4y − z = 56 x − 8y + 2z = 0 (a) Find the angle between the two…

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Q: .2 dx I (w² – 25)5/2

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Q: 00 n +7 Use the ratio test to determine whether>. converges or diverges. 7" n=3 (a) Find the ratio…

A: To find whether the given series converges or diverges using ratio test.

Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

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Q: 3. Find dy/dx x = Vy + Vỹ 1 + Vx 4. Find the second and third derivative of y = 5. Find dy/dx y =…

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Q: 00 n8" Use the ratio test to determine whether>. converges or diverges. (n + 1)! n=7 (a) Find the…

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Q: Consider the following piecewise function Quiz Content x² – 1 x 1 x2 Find the value(s) of a for…

A: Use the definition of  continuous function .

Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

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Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

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Q: Evaluate the definite integral. e12. i+ k 12 e12 i-elj+; k 12 e12 -1 12 e12. k 12

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Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: The auxiliary equation of the DE: -6 y"" -4 y" + -2 y=D0 is -6 m3-4 m2 +-2 0. Select one: O True O…

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Q: a) (fog)(7) b) If 4) If f(x) = x + 3 and g(x) then find (gof) (2). %3D x+1

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Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A: Here we have to use the subsitution.

Q: Question 13 2 ydy if we let y=z+ 4, then the new integral becomes - у-2 dz In z+ 4 - 2 T True (F)…

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Q: 25s^2+202s+25. FACTOR THIS QUADRATIC EQUATION ACCURATELY.

A: 25s2+202s+25=0We know that solution of quadratics equation ax2+bx+c=0 is x=-b±b2-4ac2a Herea=25,…

Q: 20х* 5. (25-16х"°

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Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

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Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

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Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

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Q: 1 In solving the antiderivative of f(x) = 2- sin(x) by miscellaneous substitution, the substitution…

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Q: Question 11 a / f(x) dx: f(x) dx a True False Question 12 If f'(a) = 0, then the function f must…

A: Here we have to use the concept of integration and derivatives.

Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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Q: Evaluate: (9 - 22) -1 x- V9- x sin A f (z) = %3D V9-2 None of the above a+V9-r sin ©f(z) = V9-7 9-…

A: We have to choose the correct option from the given options according to the given information

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: S sec°x tanºx dx

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Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

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Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

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Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

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Q: Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x <…

A: Given problem:-

Q: Find the point of inflection for the function f(x) = 5x - 14x2- 11x+1 O (-2.2, 37.72) O (2.2,…

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Q: X Sin(x?)dx evaluate the definite integral

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