11 12 13 14 15 Solve Solve Solve Solve Solve ((AND)U(CNA))-(CNB) (BUC)-(DNA) (BUD)-(ANC) (ANB)U(DNC) (AUD)-C

Q: 2 = 2(0)+7(0) + ²₂ D 6. Use a(t)=-32 feet per second squared as the acceleration due to gravity. A…

A:

Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: Solution given below

Q: 3.2.5 Test for exactness then solve. (x3+ xy2 − y)dx + (y3 + x2y − x)dy = 0

A: Given: (x3+xy2-y)dx+(y3+x2y-x)dy=0

Q: Evaluate ¹ dx √√9-4x2 a. 0.285 b. 0.123 c. 0.423 d. 0.365 e. NONE OF THE ABOVE

A:

Q: VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x…

A:

Q: . Reason Jupiter's gravity changes a spacecraft's path to a hyperbola as it approaches. The focus of…

A: We need to find hyperbola equation.

Q: I. Evaluate the following limits. 2. lim (x - Inx)* +0+x

A: We have to find the limit of the function  limx→0+x-lnxx. We can write,    u= elnu Therefore,…

Q: 7. A particle moves along the x-axis with its velocity modeled by the function (t)= 3cost + 3t. The…

A:

Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: What is the volume in cubic units of the solid formed when the region. bounded by y = x^2 + 1, y-…

A: Given :y=x2 + 1, y-axis , x-axis and x=2 is revoloved about x=-2.Formula :Volume in…

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A:

Q: Perform the integration. π ¹3 sec³ x tan x dx √2 + secx 0

A: A detailed solution is given below.

Q: 5. Use Cartesian coordinates to evaluate ㅋ yy dv where D is the tetrahedron in the first octant…

A: Let's evaluate given integral.

Q: Evaluate the limit: lim_ (x - ln x)* x→0+

A: Using L Hospitals rule , Value of given limit is evaluated.

Q: find the area the of region i) sketch the area, ii) Determine the boundaries ii) retup the definite…

A:

Q: c4 So So (6x² +9y²) dx dy

A:

Q: III. Let f(x) = 2 sin x 1. Use the local linear approximation of f at x = 0 to approximate e2…

A: Given problem:-

Q: 2 -2 eydo عام 2 + +2

A:

Q: IV. Solve the following problems completely. 3 1. Use local linear approximation to estimate √√(3.…

A:

Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

A:

Q: Find the volume of the colld_generated by. revolving the area bounded by the given curves_ about the…

A: We need to find volume.

Q: (y² - x² sin xy) dy+ (cos xy - xy sin xy + e²x) dx = 0

A:

Q: equences . Given that a₂ = 6 and as 96 are terms of a geometric sequence, find a. 2. Given that a10…

A: solution

Q: 12. We have the following width measurements of 80 meters wide lake Distance: 0 10 20 30 40 50 60 70…

A:

Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t…

A:

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A: This question is related to profit and cost functions, we will solve it using given information.

Q: 3. Determine whether the following pairs of functions are linearly dependent or linearly…

A:

Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

A:

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

A:

Q: 64 Lood (vt. 1 √t + √i) dt

A: Given ∫164(t-1t+t3) dtTo evaluate the Integral:

Q: Find the area bounded by y = sin √x and y = 0 on the interval [0, π^2].

A: The curves are y=sinx, y=0 on the interval 0, π2

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

A:

Q: x-1 x² + 5x + 8 S dx

A:

Q: The pedals of a bicycle are mounted on a bracket with centre 27.5 cm above ground. Each pedal is…

A: 1) Center = 27.5 cm  Radius = 17.5 cm  Rate = 10 cycles per minute => Rate (ω) = 1/6…

Q: etermine the instantaneous rate of change of the function πt √√x sin (772³) dt : x = 1. x3 1 + √t

A:

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

A:

Q: 4. Which of the following lines is parallel to y = 6x 18? 3x+6y=2 ○ 2x + 3y = −2 -6x -6x - 2y 2y =…

A:

Q: While buying a new car, David made a d payment of $1,100 and agreed to make end payments of $230 for…

A: Please refer to the image below

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² -…

A:

Q: Evaluate the following limits. 1 - cosh x 1. lim x+0+ ln(x² + 1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

A:

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A:

Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + ²) + y =…

A:

Q: Perform the integration. 3 (13 (|3* − 1| + |3* − 3|) dx 0

A:

Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

Q: 4. Evaluate the double integral: L Lady. dx dy. 1/3 27 +1 (Hint: Change the order of integration to…

A:

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A:

Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞0

A: Given problem :- limx→+∞3x+x1x

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.