18dx ·S (4x² +9) 19.

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region…

A:

Q: 6x⁹-x5+ 27 A B R C D) 0 E) None K|N 2 4-x² dx is equal to

A: Explanation of the answer is as follows

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: dx (x-3)² (A) None B 0 C ∞o (does not exist) - 1 1 S Evaluate: D E

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Q: 10. X dx

A:

Q: √x(y)²-(√x cos √x - sec √x)y'=1

A:

Q: Question 11 [₁ Evaluate: 2 A 63 16 B 105 C) None 16л D 105 2n E 63 sinxcos³xdx is equal to

A:

Q: By method of Integration by Partial Fractions, A + C (1³+ 5x²+6) dx = √2-24 +5 + 8(2x=22)52]dx…

A:

Q: D. Calculate volume enclosed by (z = 8 - x² - y²) and (z = x² + y²), (Use order dy dz dx).

A:

Q: 5. In another state, license plates are formed using 6 symbols, any of which can be a number of a…

A: We know, There are 26 letters A, B, C, . . . , Z and 10 numbers 0, 1 , 2 , . . ., 9.Therefore we…

Q: Evaluate A B с D S= 3x-5 3x4 + 6x3-3x2 - 6x x² - 4x 2 x² - 2x 2 x² - 4x 2 x2-2x-In (x-1) 1/6(x+2)…

A:

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A:

Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: 8. 5 cos²x - 3tan x COS X dx

A:

Q: QUESTION 10 Consider O 5 14/3 O 6 O 17/6 3x5 3x4+6x3-3x2 - 6x Sx-m + A+ dx Using the method of…

A: On solving this we will get

Q: dx (16+x)³3/²

A:

Q: QUESTION 18 Determine the third order MacLaurin's polynomial for f(x) = ex.

A: Kindly note that I have authority to answer only one question. If you want remaining question to be…

Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

A:

Q: ·S. The integral of sect S S x dx x²+√√√x². sece tane de sece - 1 sec²0 do 1+tano cose de 1-sine…

A: Given Problem:-

Q: 17. fe-Inx √√In x² dx 3

A:

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. 13 65° x = 0

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

A: Given :(x+5)2=2y, the x-axis, and the line tangent to the circle x2+y2=25 at (3,4).To find :The area…

Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

Q: 15. cos³ 3x 3√√/sin 3x dx

A:

Q: What should be the shape of an oval field complying to a given circumference, if it is to have a…

A: Given :The shape of an oval field complying to a given circumference, if it is to have a maximum…

Q: Determine the volume of the solid obtained by rotating the region bounded by y= x^2 and y=x about…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: A 38. Which of the following equations is the correct representation of the perimeter (P) of the…

A: Given:  38) Norman Window:

Q: 50 [" (ax³ + bx² + cx) dx=2b -50 A) True B) False 50 x²dx

A:

Q: QUESTION 14 I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x==…

A: Find area between two curve

Q: Being careful to allow for parts of the curve being both above and below the x-axis, determine the…

A:

Q: What is the dy/dx of y = 3sin²x cos x ? O 3 sin x(sin²x - 2cos²x) O-3 sin x(sin²x - 2cos²x) O 3 sin…

A: Given: y=3sin2⁡xcos⁡x To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx

Q: If a particle moves on a straight line so that s = et (cost – sint) . Which expression can be used…

A:

Q: If $S² A 2x²+x-2 (x+1)(x²+1) (В NIG NI- S None -dx= B(2x) +C1 14.0+. dx, then the value of B is…

A: We can answer the question for the value B as below.

Q: QUESTION 14 Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)…

A: We need to find area.

Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

A:

Q: t'dt √4+1² 19 dt

A: We have to evaluate ∫02t34+t2dt.

Q: S tan³ √√√x X X dx

A:

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: dx 2. √ 9x² + x³² 12.

A:

Q: A manufacturer drills a hole through the center of a metal sphere of radius 5 inches. The hole has a…

A: I am attaching image so that you understand each and every step.

Q: If tan A = and tan B B = 1/1, calculate and simplify the following: tan (A - B) = [?]

A: SOLUTION-

Q: < d dx x² 2 tan t²dt=2x tan.x² (A) True B) False

A: Formula :

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: √ ² si 2 63 16 105 2n C 63 D) None Evaluate: A (B 2 sinxcos³xdx is equal to

A: Given query is to find the integral.

Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…