Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4
A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…
Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…
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Q: Text Canada's population is about 33 million people. It is increasing at about 1.8% per year. How…
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Q: 3. Evaluate the following integral by using the polar coordinates. £²₁, [x²=²²* (x² + y²)³¹ dy dx.
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Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.
A: see below the answer and calculation
Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…
A: SOLUTION-
Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.
A: This question can be solved using properties of definite integrals.
Q: Question 4 What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) O B) 1 (C)…
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Q: he variable in each equation using a method of your choice. 93x+4 = 27-x+6
A: Given problem:- The variable in each equation using a method of your choice. 93x+4 = 27-x+6
Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".
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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…
A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…
Q: 6. Determine the Cartesian (scalar) equation of the plane that... a) contains the points (6,1,0) and…
A: SOLUTION-
Q: TYPEWRITTEN
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Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…
A: Given problem:- Use double integral polar coordinates to find the area of the portion of the surface…
Q: . Expand the binomial (2x - 1)*.
A: Binomial theorem
Q: Find the velocity of the particle at the times given. Velocity at time t = 1: -3 Velocity at time t…
A: We will find the velocity.
Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin…
A: We have to find the integral
Q: N|- x² Given: quadric surface S with equation (y - 3)2 - 2 (a) Determine and identify the traces of…
A: Quadratic surface S with equation y-32-x22-z22=1
Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…
A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…
Q: Suppose m and n are constants and m‡ n. 1. Evaluate sin(mx) cos(nx) dx
A: using trigonometric identity
Q: Solve the following differential equations: 2 √1-y² (a) - dx + y sin 2x -dy = 0 cos 4x+1
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Q: (ii) tank (In x) = x²-1 x² +1
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Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2
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Q: What is the inverse for the function f(x) = 2+3/1-x? A. f1(x)=1-(x-2)³ 1 B. f¯¹(x) = 2+³/1-x C.…
A: Given that: f(x)= 2+ (1-x)1/3 and we find the value of f-1(x). Here i attached the solution of…
Q: Let S be the solid inside the sphere p _ 6cos@ and below the cone Ø = π/4 Find the volume of the…
A: S be the solid inside the sphere ρ=6cosϕ and below the cone ϕ=π4
Q: Show that the three functions: f₁(x) = ex-8f₂(x) = exf3(x) = 4(2x-2) are linearly dependent.
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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx - B) + C? 02 1 03
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Q: Solve for the Partial Derivatives and total differential of each of the following function
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Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2
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Q: Set up, but do not evaluate, the integral to find the area of the surface generated when the curve y…
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Q: Find the area of the shaded region y = 5x-x² y=x 1 (a) (4,4) YA x=y²-2 y=-11 1 (b) y=1 x=e²
A: 1aThe area is bounded by the curves y=5x-x2 and y=x.
Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx
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Q: 1. Write the polar form of the following complex number Z = 3
A: We know that polar form of complex number z=x+iy is z=r(cosθ+isinθ) Where r=x2+y2θ=tan-1(yx)
Q: Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75
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Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…
A: Let fx=2-x-x2 if x≤22x-1 if x>2To calculate the following limits. To enter "DNE" if the limit…
Q: 4. Evaluate the following triple integral. [ƒÃƒ‚²‚x² sin y dy dz dx .
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Q: Let C be the parametric curve defined by Ja(t)=1²-t-6, [y(t) = 41³ + 3t² - 6t. Determine the point/s…
A: a) Given that: xt=t2-t-6yt=4t3+3t2-6t For a horizontal tangent line, the slope must be 0. That…
Q: Use the slopes of tangents to determine whether the function -6x2+36x is increasing, decreasing, is…
A: Given function, f(x)=-6x2+36x We know that function is said to be increasing when f'(x)>0, and…
Q: 156. Find the area of the region D, bounded by y = √4x², x= √3, which is the region x=2, and y = 0.
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Q: u = xz siny + yz cosx + xy tanz
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Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…
A: The given function f(x)=-6x2+36x at the point x=4.
Q: Exercises To Solve [No.5] 4 S (X-+1) √ X ²2X-3 3-2x-x²
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Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…
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Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…
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Q: For what value of a, we have 0= . You may explain your answer below if you like (optional). (z) < 4
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Q: Given: planes II₁ : 2x - 5y + z = - −1 and II₂ : x + 5y + z = 5 intersecting on a line l (c) Give a…
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Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…
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Q: a) 66, 54, 42, 30, ...
A: The given sequence, 66, 54, 42, 30,.....
Q: 25. Which of the following value of x is continuous of the function f(x)=√4x²? A. 2 C. 4 B. 3 D. 5
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Q: 43. Evaluate: (2ex - 4x) dx A. 2ex - 4x + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e + + C In 4
A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…
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