3. 4 cos 2 s2-4sin = 5 %3D -

Q: Question (see above) EXAMPLE ONLY: 3. x? + 5x – 5 on [-6, 2] Proving that the function f(x) = x? + 5...

A: Solution is given below:

Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

A:

Q: x? — х -2 lim 2 x +3x + 2 X→-1 X

A: First we factories then take limit. 

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. у%3 1/...

A: This is a graph problem

Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: 15 tind the voleime of the solid senerated by revoling the following region about the y-axis, The re...

A:

Q: What is the area of the shaded region? y = 2 2 x = TT y = 1 + cos x

A:

Q: 1800 + 500, where q represents the demand for the product, find the marginal revenue when the demand...

A: To find out the marginal revenue. 

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: Telescoping series is the series in which all but the first and last terms cancel out .

Q: Question Find the derivative of f (x) = log, (5x³ – 3x2 – 6) at the point x = 3. - Enter an exact an...

A:

Q: Question 3 Find k' (x) if k(x) = e* ( 3x5/4 %3D Provide your answer below: K(x) =

A:

Q: 5. 3x² + x -1 x+2 A 3x2 + 5x + 9 In I x + 21+C 2. 3x2 - 5x + 9 In I x + 21+ C 2. B 3x2 + 5x + 9. + C...

A:

Q: 2x3+3x dx x4+3x² In lx* + 3x²1 + C 1 + C In(x4+3x²) C В 1 D 1 1 - In Ix* + 3x²1 + C + C 2 In(x4+3x²)...

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. ^2 cy? yz dx dz dy DNE -90 J-60

A:

Q: Evaluate the indefinite integral. arctan dx

A:

Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

A:

Q: 4. J (sin t + cost t) dt A - cos t+ sin t + C - cos t- sin t + C cos t+ sin t + C cos t- sin t + C O...

A:

Q: Sketch the region enclosed by y = 3x and y 5x2. Find the area of the region.

A: The region is enclosed by y=3x and y=5x2

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

A:

Q: Determine if g(x) is continuous on the following interval. Show you complete solution clearly.

A:    

Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

A:

Q: D. Eliminate the arbitrary constant C. 6. y=C,e6+3C,e*

A:

Q: 9. dx 1+ e* A - In le-* |+ C - In le * + 11 + C B In le*|+ C B D In le-* + 1|+ C

A:

Q: 3) (use DiSk Methad) Fnd the volur Solid genecated by revoluing the bay. the Sraphs Of the equatons ...

A: solution:-the region bounded byxy=3, y=1, y=4, and x=5 revolving about the line x=5using the Disk me...

Q: 10) [ 5x (2 + 3x²)® dx

A: ∫5x2+3x28 dx Using Substitution u  =2+3x2du=6x dx⇒x dx=du6 ∫5x2+3x28 dx=∫5du6u8                     ...

Q: 1. Use the diagram below to answer the question. 1600 m 900 m The area of each square is given in th...

A:

Q: Solve the inequality involving absolute value. Please explain. |x- 2| + 6 ≥ 12

A: Given query is to find solution of the inequality.

Q: find solution of this differential equation: (1−xy)^−2 dx + [y^2 + x^2 (1−xy)^−2 ]dy = 0; when x = ...

A:

Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: 10, The ventices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A. a...

A: Here, the triangle with the given vertices is:

Q: rtices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A acute isosce...

A:

Q: Identify the u, du, the form of the integral

A:

Q: la) Find the area of resion between two functions.

A:

Q: 6х2-17х+25 10. S: (х-1)(х-2)(х-3)

A:

Q: Evaluate the integral. (In(x))² x3 dx

A:

Q: (a) Let p and q be statements. Use only ONE suitable method throughout to determine preciscly whethe...

A:

Q: 5 sin(50) sin(0) dê

A: ∫5sin(5θ)sin(θ)dθApply product to sum formulasin(x)sin(y)=12(cos(y-x)-cos(y+x))=∫-cos(6θ)-cos(4θ)2dθ...

Q: (a) Find the average rate of change of the area of a circle with respect to its radius r asr changes...

A:

Q: Evaluate the integral. 2 sinh (4x- In 8) dx 2 cosh (4x - In 8) +C (B) cosh (4x - In 8) +C C) * cosh ...

A:

Q: solutions using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A:

Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y³= Cy? 6. y=C,e6x+3C2ex

A:

Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: sinty

A: This is a basic integration problem

Q: 1 dx x(ln x)² 32. le

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x) t...

A: Here, the given revenue function is: R(x)=75x-x210⇒R'(x)=75(1)-2x10=75-x5

Q: tanx dr 7.

A:

Q: Compute the following limit. 2x-3 as x approaches o x-3 O 2 3 4 1

A:

Q: Using Integrating factors found by inspection (2y-3x)dx + xdy = 0

A:

Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...