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

Q: Q = - ST 8-x²-y² x² + y² y dz dx dy

A:

Q: If s t5 - 10t², when will the acceleration d² s dt² O2 seconds O 0.5 second O 1.5 seconds 1 second…

A:

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: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: 2. [e1/² cos 2tdt Set/2

A:

Q: -x² 9 d. f (x) = xe [0, 5]. e. f(x) = |x² − 4], [0,3]. sin x f. f(x) = = [-ㅠ -π, π]. x² + 1

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

A:

Q: S- (A) True B) False tan r²dr=2x tan.x²

A:

Q: Consider the triangle with vertices P(3, -4, 0), Q(4, -1, -2), and R(8, -3, -3). Determine the…

A:

Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² Л < (A) True B) False A B…

A: Given data÷

Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A:

Q: y=(-4x²-5x²) (7x - 2)

A:

Q: What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 2 B 3 C 0 D 1

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

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

A:

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

A:

Q: 11. fel/x²di .3 X хр

A: Here, to evaluate: I=∫e1x2x3dx

Q: y dy Find S y+2 O ²(√y+2−5) (5√/y+2−y+24) + C (√y+2−5) (5√/y+2+y+24) + C (√y+2-5) (5√/y+2+y+21) +C 3…

A: A detailed solution is given below.

Q: 100t Consider the population function p(t) = t+9 a. Find the instantaneous growth rate of the…

A: The given population function is pt=100tt+9.   a. The objective is to find the instantaneous growth…

Q: 5. [x3* dx X

A: A detailed solution is given below.

Q: S- Find y dy Vy+2 using the substitution u +5=√√x+2. A ²/ (√x+2-5) (-5√/y+2+y+21)+C ℗ ²/(√√y+2-5)…

A:

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A:

Q: Q2/ Find the value of the integration by Simpson's method when 3=n, then compare the result with the…

A: We need to evaluate integral.

Q: 1= sin√xcos√x √x A) None Зл B 256 Зл C 512 3 D 256 3 E 512 -dx is equal to

A:

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) = x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. xpzx-91/f

A: As per Bartleby guidelines rule I am answering only first question as second question is not a…

Q: 4. Find a unit vector that points in the same direction as v = (1,3,9).

A:

Q: If S A 2x²+x+1 (x-1)(x+1)(x-2) 11 3 -2 11 3 None 1 E - 3 C dx = А SA + B C + 1 + = -₂2]dx x+1 + dx,…

A:

Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: 3. Find the average value of the function on the given interval.

A:

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

A:

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: We need to find area.

Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: Question 7 x3 -4 16-x² (Α A 8 (в B 0 C) None D 4 E 2 dx is equal to

A:

Q: Find the radius of curvature of y=xª at (1,1).

A: Here we have to find the radius of the curvature of y=x4 at (1,1)

Q: Question 5 fx²√3x dx is equal to 0 -27 (3 - a) 3 - -5 7 (3— æ) +15√(3-x) - + 2 2 -5 0 æ) −3 (3 – a)…

A: To find out the integration.

Q: C) 8 square units

A:

Q: Suppose m and n are constants and m n. Evaluate sin(mx) cos(nx) dx

A:

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

A:

Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: 50 [" ( ax³ + bx² + cx) dx = 2b = 25 150 x ²6 x²dx -50 0 A) True B False

A:

Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

A:

Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: Determine why dx converges or diverges.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

A:

Q: Use Cartesian coordinates to set up the iterated double integral given by III ² av dV D where D is…

A:

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: If f(x) = =+10, then what is the value of f(a+h)-f(z) ? h - 1 (x+10—h)(x+10) 1 (x+10+h)(x+10). 1…

A: It is given that f(x)=1x+10. we need to find the value of f(x+h)-f(x)h.