Which integral represents the area of R? Choose 1 answer: 3π A 16³ (²1 + 2 cos² (0) + 2 cos¹ (0)) de 2 •3π 4 Ⓒ ³ (1 + cos² (0) + cos² (4) ) de B 4 3π √ ²³ ( ²7 + cos² (0) + cos² (0) ) de (0)) de 3π 2 [² 1 2 + 2 cos² (0) + 2 cos¹ (0)) de D

Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to…

A: Topic = Algebra The maximum height reached by the stone is 196 ft.

Q: a) Determine the magnitude of a vector perpendicular to both n1⇀ =(-3,1,0) n2⇀ =(1,5,2) b) Describe…

A: The given vectors aren1→=-3,1,0= -3 i+1 j+0 kn2→=1,5,2=1 i+5 j+2 k

Q: Evaluate the integral: -2e 2е π/3 ₁² /³ tlnu tans ds du dt 0

A: In this triple integral we first integrate with respect to 's' then with respect to 'u' and in last…

Q: Evaluate the expression under the given conditions. sin(0 + p); sin 0 = ₁ 0 in Quadrant I, cos p = -…

A:

Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

A:

Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: Evaluate the integral: fnste" du ds dt

A:

Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

A:

Q: Solve the differential equation dx 4x+6y+5 - dy 3y+2x+4

A: Concept: The general form of non-homogeneous differential equation  dydx=a1x+b1y+c1a2x+b2y+c2 Check…

Q: Example Find dy/dx for the function y = x² In (4x)

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Q: -2 Evaluate: ²₁²[(x²-²²] 0 x+y du dt

A: Topic = Integration

Q: Q4: Solve the follov A) Find and graph the volume generated by revolving the first quadrant area…

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Q: What is the direction of the vector (8, -7)? A 41.19° B 138.81° с 221.19° D 318.81°

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

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

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: CONSIDER A FUNCTION OF R IN R DEFINED BY: x² + 1 X-2 SO, THE EXPRESSION: f(x) - f(3) x - 3 FOR 2 IS…

A: f is a function of R in R defined by  f(x)=( x2+1)/(x-2)  Then expression [ f(x)-f(3)]/(x-3) ?

Q: Evaluate: 2[z³(x+y)³] dz dy dx

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Q: Write z, and z₂ in polar form. (Express 8 in radians. Let 0 ≤ 8 < 2m.) Z₁ = 4√3-41, 2₂ = -1 +/ Л 2₁…

A:

Q: Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

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Q: 3 Evaluate: 2₁ (4x²yz - 2 ) dz dy dx 4

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Q: Evaluate: ff xy² dx dy

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Q: Convert the following from parametric form to scalar form. x = 2t + 1y = -3t + 1

A: Find t from y and substitute that t in x to find the relationship between x and y.

Q: consider the following. u=i+√√7j, v= -√7i+j (a) Find u. v. u'v= (b) Find the angle between u and v…

A: Solution is here

Q: Evaluate: ³₂(4x²y — z³) dz dy dx

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Q: Be u = x2 + yz, where x = rsin(t), y = rcos(t) and z = rsin2(t), calculate: ∂u/∂r and ∂u/∂t

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Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Please refer to the image below

Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

A:

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

A:

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: ¹₁¹+x² x + 2y dy dx -12x²

A:

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = F(x)= 2 cos (x) (1²-2) dt

A:

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: 3 f²f²² ²³ y cos(z³) dx dy dz 0

A: The given integral:∫01∫0z2∫03ycosz5dx dy dz

Q: 10. Consider the function f(x)=2x^2 +(0.4)x If the constant of integration is C=7.2, what is the…

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: -2 [(x² - y²)²] x+y Evaluate: ³₁² du dt

A: Since the integration is to be done with respect to u and t but the given function in the bracket is…

Q: Evaluate the indefinite integral given below. (10 (10-20x4) csc² (2x³ - 5x) dx

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Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function  f(x) = x2x+3 on -3, 0.

Q: Evaluate: ²₁¹ [2³(x + y)³] dz dy dx

A: Topic = Integration

Q: 2. Evaluate all of the integrals. [ 2² sin sin a dr

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A:

Q: solving the following differential equations (x + tany)dy=sin ey dx

A: On solving this we will get

Q: What is the equation of the tangent line to the curve y = at point (0, 0)? O none of the choices O y…

A: Given :      y = 3√x    Point : (0 ,0)

Q: Determine the maximum value of the function f(x)=2sinxcosx on the interval [0, π]

A: