PLETE and RELEVANT justification to earn any points vant! shown below converge or diverge? If yes, give complete n as to why. If insufficient information is provided that y so and give complete reason as to why you think the in "yes" or "no" answer. (-1)* 3k⁹+7

Q: Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ − x + y = 0 (b) x…

A: 4x3y2+x4y3-x+y=0Differentiating both sides and isolating y' we…

Q: Let D be the portion of z = 2z + 5y inside z² + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A: We have to compute integral.

Q: fxe-*dx= 303 blow Sie f sin (In y)dy =

A: Integration by parts : ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx

Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

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

A:

Q: If " (x+5) dx = 14, then the value of b is equal to A) None B 2 (C) 4 D -3 (E) 3

A: Given

Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A:

Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

A:

Q: Directions: Find the area of the region bounded by the curves. Use a clean sheet of paper for your…

A: To find out the area bounded by curves.

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: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: Suppose the functions heas and reas are defined follows beas = 5x=2x² rexlx23x4 X+2 -2 Write down Oh…

A: We have to solve the given inequalities.

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: Evaluate efsin(1 sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression…

A:

Q: DETAILS LARPCALCLIM4HS 5.3.063. Solve the equation. (Enter your answers as a comma-separated list.…

A:

Q: 2x²+x+1 A (x - 1)(x + 1)(x-2) dx = ₁+ A -2 (B) None 3 D E 15 B x+1 + x-2 d. dx, then the value of C…

A: Given  ∫2x2+x+1x-1x+1x-2dx = ∫Ax-1+Bx+1+Cx-2 dx

Q: QUESTION 16 Write the following power series in sigma notation. x² x6 1-4- 2! 3! x8 4! ...

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Q: 10. X dx

A:

Q: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

A:

Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: əz Əz Əx Əy Q5-A) If z =(x +by)² +e+by+sin( ax +by) show that b =a

A:

Q: 50 50 ["*" (ax² + hx² + cx) dx = 2b ["* x² dx -50 0 (A) True (B) False

A: As we know that; The Sum Rule; ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx  where a is constant.   We…

Q: 14. sec xdx 2 3/2 (1 – 4 tan x)³/²

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Q: 4. f ta tan x sin xdx

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Q: +∞o Evaluate: S e-x dx 0 A + ∞ (divergent) B 0 C 1 D) None E e

A:

Q: Given that dx 5₁² = missing steps = I due √x+2 √u Re-write the integral will all the missing steps.…

A: Given:     ∫-2-1dxx+2 Apply u-substitution:  Substitute u=x+2→dudx=1            dx=du Lower limit…

Q: 4. t²dt /t° +1 3√/₁³

A:

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

A: SOLUTION-

Q: Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided…

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

Q: 7. Use cylindrical coordinates to evaluate S √x² + y² dx dy dz where S is bounded by Z= √√x² + y², z…

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Q: ff" (x+5) dx=14, then the value of b is equal to (A) 4 B) 3 (C) -3 (D) None

A:

Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

Q: ·S- A 4u B [4-(2u²) ² C) -du V 4u Ⓒ* D -du 4 For x 1/2 -dx and using the substitution u=x1/2, the…

A: We have to solve above integral

Q: 14. 7/4 3x fe³ sin 4xdx

A: On solving this we will get

Q: dy = 26² Q2/B) Solve the following differential equation by using homogenous D.E method dx

A:

Q: fax² ax² + bx dx is equal to O ax³ bx² ㅇㅇ + C 3 2 ax³ bx² 3 2 a²x³ 6²x² 3 2 a²x² 6²² 3 2 O + + + +…

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Q: 9. 5 3 2 S 2 3 S ds

A:

Q: Question 11 Evaluate: S₁ 2 A 63 16 B 105 C) None 16″ D 105 E 2π - 63 sinxcos³xdx is equal to

A:

Q: ffff dydadz, where A is the region of hemisphere A ² + y² +2²=a²is the same as tripple integral by…

A:

Q: Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie on…

A:

Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: Find the value of integration of Semi-deviant manner when y-n found the real integration facilities…

A:

Q: f(x)= (4x² +8x+2)

A: We can find the derivative using chain rule as below.

Q: Direction. Evaluate t s+20 the space provided. 1. fxcos 5x dx =

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Q: 19. x'dx √√5x² +4 -S

A:

Q: y dy Find S √y+2 A(√3+2-5) (5√3+2+y+24) + C B (√y+2-5) (5√/y+2¬y+24) + C 3 Ⓒ²(√x+2-5)(-3√x+2+y+21) +…

A:

Q: sin ydy (4 + cos y)²/3

A: We know that integration of xn is xn+1/n+1 +C. Here C is integral cosntant.       Here i attached…

Q: 8. 5 cos²x - 3tan x COS X dx

A: