1- Differentiate. a- Y= 2 ex¹2-1 b- Y= -2 sin³x c- Y= 3sin2x - cos 4x d- tan√(1-x)

Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

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Q: 5. -9.763332111 is a Whole number. O True O false

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 3- Find the length of the curves in Exercises 1-4. x = = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: (0.01)365 O True O false > (1.00) 365

A: Check the statement

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

Q: B. By using the n-th root test method, test the convergence of the following series: Σα-Απ n=1 Q.2…

A: Solve the following

Q: d) y = x453x-1

A: Given query is to find the derivative.

Q: A force of 40lbs acts on a body at an angle of 30°. Express the force vector in component form and…

A: Vector

Q: IF y = u+ + 3u2 & u = 2x Find dy dx

A: y=u4+3u2Differentiate w.r.t 'u'dydu=4u3+6u  --->1u=2xDifferentiate w.r.t 'x'dudx=2  --->2

Q: 10. Z+Z = |z| O True O false

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Q: If 2* ( (4x-1)/5) =3 then x = 0 1 O 0.1 O-0.1 5 100 17/8 160 O +1 O-1 500 √25 +1,-1 None of them

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Q: If you evaluate the integral expression |2x-1|dx the result is Blank 1 (use fraction or decimal in 2…

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Q: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: Let y = f(x). Which of the following statement is TRUE? O None of the above O Let f(x) = -2x + 4. If…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Solution is here

Q: sinx dx √2-cos²x S

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Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

A: Given

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: General note for all questions : choose the correct answers IF y = u + 3u² & u = 2x Find dy dx

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Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

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Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

Q: Finding Surface Areas 1- Find the lateral surface area of the cone generated by revolving the line…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: S 0 Question 8 A lighthouse L is located on a small island 2 km from the nearest point A on a long…

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Q: use differentials to approximate the value 1. 664 .05 2. e^0.99 3. square root of 101

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Q: Find the area under the graph of the function over the interval given. y=x*; [2,3] The area under…

A: Given query is to find the area under the curve.

Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: dy dw y-w W y+ W

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Q: 3) [ = + r³ + 2x² − 8x 2 dr

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Q: 10 Find an equation for the tangent line to the graph of y = (x³ - 25x) ¹0 at the point (-5,0). The…

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Q: inverse laplace S 2 22 sa² + b²

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Q: 5- A virus is spreading according to the function p(t) = 125(2)¹/4, where p(t) is the number of…

A: This question is related to Functions and rate of change, we will solve it using given information.

Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

Q: IF y = u+ + 3u2 & u = 3x Find dy dX

A: If y=f(u) and u=g(x),thendydx=dydu.dudx dundu=n.un-1

Q: cos²x sinx dy + (y cos³x - 1)dx = 0

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Q: what is the basic concept of a limit? How is a limit calculated? What techniques / rules can be used…

A: We have to answer given Questions.

Q: Suppose the semicircle shown to the right is revolved about the x-axis to generate a sphere. Let AB…

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Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: For the function below, graph f and f'. Then estimate points at which the tangent line to f is…

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Q: 8/11 Correct While walking in the country, you count 36 heads and 110 feet in a field of horses and…

A: We can find the answer as below

Q: Find the area bounded by the curves y2 = 4x and y + 2x = 12.

A: Topic = Area

Q: graph of the equation x2/3+2/3-82/3 is one of a family of curves called astroids because of their…

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Q: Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers,…

A: We have to solve given Questions.

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A: let the height of tank be "h"Volume is given by VdVdt=0.1 cu. ft/hrh=2 ftV= 10 cu. ftdhdt=?

Q: If 2* ((4x-1)/5) =3 then x = O 1 O 17/8 O 0.1 -0.1

A: We can find the value of x as below.

Q: Q3: Show that b. I — = ƒ‰e¯¹8(2t − 2). dt = ½-½ 2e C. L²u(t)dt = = [cosnt. 8(t − 2) + 38(t+1) +…

A: We have to prove the given statement.     According to our guidelines we can solve only three…

Q: 6. 12 3 4 7 11 9 O о О в Ос о С CO D D. A 0 5 6 7 B. [8 20] с. 11 D. None of them

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