dy Vỹ+5 - =2/y- 5ln|/y+ 5| +c A True B) False

Q: olve the following Initial Value Problem: y" + y-6y 0, y(0) = 2 y (0) = -1. and %3D %3D %3D

A:

Q: Find the centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Q3) Evaluate triple integral f , (x2 -y²)dz dx dy.

A:

Q: If f(x) = 2x + Ax + Bx – 5, find the value of B when f(2) = -3 and f(-2) = -37 %3! %3D

A: Follow the procedure given below.

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: 2 dr sech 2r= e2r +e-2r A) True B) False

A:

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

A:

Q: + C2e¬4x The auxiliary equation of a second-order homogeneous linear differential equation is m2 –…

A:

Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2).

A:

Q: :(7e*) cos (4e") dx Evaluate: e cos --cos (3e*) – cos (1le*) + C 22 ® os (3e*) +cos (11e)+c COS 6.…

A: We have to find value of given indefinite integral

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

A:

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below

Q: Find if yvx – 8 = xy + 2.

A:

Q: Find the derivative of the function f(x) = csch () () -2 coth csch 2 2 -2x coth csch -x coth csch 2…

A: L

Q: Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

A: f(x)=x+123

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

A:

Q: A line with positive slope passing through (-1, 1) and intersects the parabola y = x² at the point P…

A:

Q: 8:44 C ing e Determine whether the series is convergent or divergent. 00 1 n = 1 The series is a…

A:

Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

A:

Q: At which value of x does the local maximum occur? Ox=3 O local maximum does not exist Ox-1 Ox=5

A:

Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

A:

Q: DO NOT include spaces in between characters. * Using implicit differentiation, find the slope of the…

A: We can solve this as follows:

Q: sin x Let g(x) = 1 ot. Find the derivative d'(x). '2 1+t3 none of the choices cos X 1+ sin3x sin? x…

A:

Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

A:

Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: Option A is true

Q: 4.Describe the largest set S on which it is correct to say that f is continuous S (x,y) = In(1–x² –…

A: Given problem:- Describe the largest set S on which it is correct to say that f is continuous C.…

Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

A:

Q: Find all values of x that satisfy the equation f'(x)= g'(x) it f(x)= sin x and g(x)= cos x. 3T +k T,…

A: We can solve this as follows:

Q: F'(x) = (ax3 + b)2 O none of the choices O 1 За ах3 + b 1 1 2a ax3 + b 1 1 - За аx3 + b. o 1 2a (…

A:

Q: 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4 Z=15 O X-1 Y=1 Z=1 O X=1 Y=2 Z=1 O X=4 Y=2 Z=-7…

A:

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A:

Q: Q1) Evaluate the following integral using Partial Fractions Method: y = : x³ +x? dx х2 +x — 2

A: Given: y=∫x3+x2x2+x-2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A: Follow the procedure given below.

Q: Q: Find the inverse (by any method you want) of the following matrix 31 1 4 3 1 3 4]

A:

Q: 9x 4. J, 16+9x

A:

Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: Solve the following Initial Value Problem: y"+ 16y 0, x)= 2 and y'() = 5. %3D

A: Topic = Differential equation

Q: 2x + 1 Evaluate: (3x – 1) (x² + 2x + 2) 2 In (|3x – 1|) – In (x² + 2x + 2) + 4 arctan (x + 1) +C A F…

A: Find your answer below

Q: dy Find the general solution of 2x² = a? + y? dx %3D

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

A:

Q: Jse the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

A:

Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: dy 1 y? +y 3

A: We have to integrate.