4. g(x) = (3x − 2)4; g"" (x)

Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

Q: 2. For a given perimeter, what is the ratio of the length to the width of a rectangle that will have…

A: Solve the following

Q: 4+e²z-ez ez -dz

A:

Q: lim [(x²-In(x + 1)) cot x] x-0-

A:

Q: anser

A:

Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A:

Q: dx dx.

A:

Q: The domain and the range of z=cos-1(x²-y-3) are represented respectively by OAD={(x,y) ERXR: x² <y≤…

A:

Q: (6) 6. 1 y z = -t Resolute Rebecca believes she is limitless moving forward along her path!…

A:

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: Given the hyperbola 2² - 4y² + 2x +32y-27= 0. Find the vertices of the hyperbola. O a. NONE OF THESE…

A:

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

A:

Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

A:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Let's find revenue function.

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Given: 4x+8y=8, y=0 x-axis, x=0 y-axis So, the bounded region is as shown below. Apply the disk…

Q: The tangent line to the curve at the point (1,2) also passes through the d² y point (-1,4). If at…

A: solution:-tangent passing through the point 1, 2 on the given curvealso passes through the point -1,…

Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: Explained below

Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A:

Q: Given the function f(x, y, z) = z ln(x + 2) + following and simplify your answers. a b) fry cos(x -…

A:

Q: Set up the integral representing the area of the region between the curves * = :-2, x = 3, y=x²-3,…

A: We have to find value of area of shaded Region.

Q: Find the partial derivatives of 2z+y²+2 Ja 8z 2zyty2 81 (エール) (z+y)² 2zy+y² Ob. 82 2zy-y² (z+y)…

A: Given the function, x2+y2x+y

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: 5. Evaluate the iterated integrals. a. b. [²³² (x+y)dx dy S S S xyz dx dy dz

A:

Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A:

Q: ind a value c that verifies the conclusion of the Mean Value Theorem for the function f(x) = x² on…

A:

Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

Q: Evaluate the integral of the following: S(-4t+12) (5t +15)dt

A:

Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

A:

Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: First we find revenue function from given data.  And then we find maximum revenue for sold…

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

A:

Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

Q: f (x² + 1)(x³ + 3x)² dx

A:

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: Find y': e siny + el cost esinz-esiny O a. e cosy te cosT O b. eysinz-e sinzy ос e sinzte siny…

A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

Q: The volume of solid of revolution when rotated along y - axis is given as b A [ny²dx a b B fony² dy…

A:

Q: d'y day + dx5 dx4 y = (C₁+C₂ + С3) ex +C4e²x+C5e-3x y = Cıe2* +Czxe-3x +C3е* + С4е* + С5е* OA) Ō d³…

A:

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A:

Q: 2. Evaluate the following by changing the order of integration: L' L 40² a dx dy. 2y

A:

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: 5 Given cos(8)= and the terminal side of 0 lies on the fourth quadrant. What is the value of cos 05…

A:

Q: 14 Lys 9 -25+ dy = Vy

A:

Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

A:

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series