B)Evaluate the integrals: i) f/2 (cosx)³ dydx, ii) f/²7/2 (siny)³ sinx dz dx dy . 0

Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: To write down that the function is continuous or not in the interval.

Q: Is the function continuous at x = -1? O Yes O No

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Q: Evaluate the expression. d³ P 4+3+ x = -1

A: See this solution in below.

Q: Differentiate the function. z(y) = y14 + Be

A: Our Aim is to differentitate the function given below:-z(y)=Ay14+Bey -(i)

Q: The graph of a function f(x) is given as follows. 4 3 2 1 1 2 3 4 Enter the value of each of the…

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Q: 5) Find the distances by drawing the figures and right triangle used to calculate: a. Between 1₁ =…

A: Given: 5. a) lines l1=2+2t, -1+t, -3t and l2=4, -5-3t, 1+4t b) Planes -x+y+2z=0 and -x+4y+2z=-6 c)…

Q: Find a polynomial function of degree 4 with the zeros - 1 (multiplicity 2) and 1 (multiplicity 2),…

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Q: Q12: If x + y = 10, then the largest possible product xy is = A)50 B) 25 C) 24 D) 10 B)-2 Q13:The…

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Q: 3, Determine the region of the w - plane into which the region bounded by the lines x = 1, y = 1, x…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find two unit vectors orthogonal to both (2, 5, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: The solution is given below

Q: (x)uis₂x = h-fix (p)

A:

Q: Given: x2 O 1.5 O 2.5 dy dx = 4 x² + 7xy + 2y2, Find C if y = 1, x = 1 O 3.5 O 0.5 O None of the…

A: see below the answer and calculation

Q: Find all the solutions of the given system of equations using elimination. 0.5x + 0.1y= 0.7 and 0.2x…

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Q: Use the Generalized Power Rule to find the derivative of the function. h(z) = (5z2 − 9z + 8)4 h'(z)…

A: To find the derivative of the function.

Q: (In x)² x 1 x- - 1 Use L'Hospital's rule to find lim

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Q: Consider the parabola y 5x − x2 (a) Find the slope of the tangent line to the parabola at the point…

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Q: F(t) = sec √² + 1 -1

A:

Q: Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3)…

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Q: g y = Ge=²*² + c₂ e ²x + cze 2x X

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Q: The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of…

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Q: g(x) = 3 √√x+1

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Q: lim f(x) = 9 X→ 1 lim g(x) = -5 X→ 1 lim_h(x) = 0, X→ 1

A:

Q: M y = ex ( ₁₁ + C ₂ x + c ₂ x ³²). :3).

A: Given y=exc1+c2x+c3x3

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: We need to find volume.

Q: Evaluate sinh(2ln3)

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Q: d²y If 2y = 2Ae³x + 2Be* + 2C where A, B and C are constants, show that b dx² 2b3by = -3bC, where b…

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Q: Rewrite the pair of functions as one composite function. f(t(2)) Please show using TI-84 Plus…

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Q: Find the average rate of change of f(x) = x3 - 2x + 6 over the following intervals. (a) From 3 to -…

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Q: -5 -4 3 1 2 7 1 1 -2 -3 -4 2 -5+ q Use the graph of f(x) above to estimate the value of f'(-3) to…

A: From the above graph the two points near x=-3 are approximately (-3,0) & (-3.5,0.9)

Q: y √x-1 x² +1

A:

Q: FIND THE COORDINATES OF P' IF P IS A POINT ON THE GRAPH WITH THE GIVEN SYMMETRY. P(3, -1), SWRT…

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Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A: We are given the following. At t=2 seconds, f(2)>g(2). So, Vehicle f has traveled farther at t =…

Q: a. f(g(0)) b. g(f(6)) c. g(g(-1)) (Simplify your answer.) (Simplify your answer.) a. f(g(0))= b.…

A:

Q: Q3: A. Find Zxy if Z = f(u, v), u = x+y₁v=xy

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Q: Q2: The length of the curve y = x² from the point (0,0) to the point (2,4) is: D) 1+ dy A) √1+ 4y dy…

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Q: 3 √x-2 H(x)=√x²

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Q: B) 25 C) 24 D) 10 Q12: If x+y=10, then the largest possible product xy is A)50 D) 30 C) 14 obrolute…

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Q: 2 3 4 5 Graph of f f is not differentiable at = 2 because the graph of f has a jump discontinuity at…

A: Answer:  (i) The solution is given below:

Q: 2x²y+3ycosx-2c = 0

A:

Q: Give examples of concepts, priciples and formula of the mensuration of plane figures Please make…

A: Mensuration: It is branch of the Mathematics which deals with the measurements of length, perimeter,…

Q: Q13:The absolute maximum value of f(x) A) has no absolute maximum B)-2 Q14: If f(x) = (x²-4)² then…

A:

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: 21. lim 4 *** 2+. 2+√√x

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Q: AR ΔΘ (Simplify your answer.)

A:

Q: ational Numbers Leal Numbers tegers ive at least three (3) example for each set of number. 2

A: we will do as per  the requirments of question.

Q: Obtain G.S. (xy + x) dx = (x²y² + x² + y² + 1) dy 01/2Ln (x² + 1) + 2/12/2 y2 2 ° In [(x ² + 1) ³²…

A: To find G.S.

Q: A company's cost function is C(x) = √√4x²2 + 900 dollars, where x is the number of units. Find the…

A: Given: A company's cost function is Cx=4x2+900 dollars, where x is the number of units. To find the…

Q: If   3x − 1 ≤ f(x) ≤ x2 − 3x + 8   for  x ≥ 0,  find   lim x→3 f(x).

A: Apply limits to the inequality

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: