Evaluate √x/2 6sinx(cosx+1) do

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

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Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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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: Tangent line

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

A: Please refer to the image below

Q: Fill in the blanks to determine which polar coordinate pairs name the same point. The questions are…

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Q: If g is said to be the antiderivative of the function f then O a. Inconclusive O b. O c. O d. g'(x)…

A: Here we have to choose the correct option.

Q: Prove that dx x(1+x²) 5 = lnx - 1²/2² (₁4²2²2) + ( C. +x²

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Q: Find the area of the region bounded by the curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

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: 2. Evaluate all of the integrals. x²-x+4 (x+1) (x²+2) da

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Q: The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

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Q: Given f(x) = x2 - 2x - 3 the value of x for which the function has a point of inflection is: 1. x =…

A: In this question, we want to find the inflection points of the given function.

Q: e: √₂² ²₁₂₁ (4x²yz - ²) dz dy dx 4

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Q: solve the equation! - A (a) Y'(t) = -Y(t) + sin(t) + cos(t), Y(0) = 1; Y(t) = sin(t) + ce-t. b)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let R be the region below bounded by the graphs of C₁: x² + y² = 16, C₂: y = 4 − (x + 2)², and C3: y…

A: If you have any doubt feel free to ask.

Q: elaborate pls, i could not understand the flow of the solution

A: We have to elaborate the solution.

Q: Three forces with magnitudes of 5 pounds, 8 pounds, and 120 pounds and direction angles of 90°,…

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Q: Determine the equation for the line with normal vector n = [3,-4] passing through the point P(-1,-2)

A: Given.

Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: he table of integrals to evaluate the integral. (Use C for the constant of integration.) sin (20) J…

A: The solution is given below.

Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

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Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area x) = √25-1² dt.…

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Q: = 2 · and g(x) = √x² – 2x +1, then_lim [(ƒ(x) · g(x)] is z→1¹ If f(x) =

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Q: Evaluate the integral: -2е π/3 ₁²/³t Inutans ds du dt

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Q: What is the derivative of d(z) = cosh (csc z)? O A. d'(x) = csc x O B. d'(x) = - csc x OC. d'(x) = O…

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Q: What is the answer? Show your complete answer (with a graph) in a given-required-solution

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Q: For the questions provided, find the values indicated and solve (using Logarithms where needed) 1.…

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Q: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

Q: Evaluate: √₂²³ Sª₁ S₁ (4x² yz — ) dz dy dx -

A: This is a problem related to triple integral. based on the general formula and concept we will…

Q: ways

A: Please refer to the image below

Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: 4x Find the average value of the function f(x): - 5 Submit your answer as an exact value. Provide…

A: Given problem:- Find the average value of the function f(x) =(4x/5) + 1 over the interval [-1,3].

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: 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: 5. Evaluate : p.v x² -∞0 (x²+3)² 8 dx

A: Concept: Some important integration formulas: ∫1a2+x2=1atan-1xa+C Where C is constant Reduction…

Q: f(x)=2x+1(3x-1)

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Q: 7. Sara wants to show that (ā × b) × ĉ ‡ ả × (ỉ × ĉ). Yasmina says that it is impossible and comes…

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Q: -2 -t² rln s Evaluate the integral: 5² 5²² n fote" du ds dt

A: We have to evaluate the integral ∫12∫tt2∫0ln st eu du ds dt.

Q: Evaluate the integral S (2x − 8)dx 2 - 6x + 18 x²

A: Evaluate the integral

Q: F/3 I ㅠ sec³ x tan x √2 + sec x dx

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Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

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Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: Find the area of the region bounded by the curves 1 y 5, y = 4 and the x-axis using vertical strip.…

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the…

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Q: -t √3u U Evaluate the integral: So So So S² S³ 2442 ds du dt s²+u²

A: A detailed solution is given below.

Q: Evaluate: ₂(4x²y - z³) dz dy dx

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Q: dx √ex +1 S=

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Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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