Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in- tegrands. You must show your work in simplifying and evaluating each integral. Give your answers as fractions or in terms of T, where appropriate. (iii) sin x cos 2 dx

Q: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

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Q: Solve the following items and show your solutions. c.) Find the general solution and solve for the…

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Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: 11 2

A: We can solve this as follows:

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: I am attaching image so that you understand each and every step.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 8, 8) 10…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: The Maclaurin series for f(x) = x²e=* is E-o(-1)" xn+2 п! False True

A: I am attaching image so that you understand each and every step.

Q: 5. (xe*dx (1+x)2

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Q: Funetion Values. Find Re f. and Im fand their values at the given point z. f) = 1/1-2) at 1- i 2) at…

A: Since we have the function                                             fz=11-z then we have to find…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: Direction: Solve the following equations using separation of variables. 1. y' =- y(1) = 1

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given information:  The x-sectional area of liver is given at interval of 1.5 cm. Note : The figure…

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (6,…

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Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

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Q: y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: dm 1-n3 Find if m = 4 In dn 1+n3 dm n6-1 dm 12n2 %3D dn 12n2 dn 1-n6 Option 4 Option 1 dm 12n2 dm…

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Q: 2) y TC cos 30 1 b: Period: a: d: Phase Shift: C:

A: We have to find a,b,c,d, period and phase shift.

Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: (25-у? 5-х SŠ s *²+y²dzdxdy

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Q: What is the lateral area of a cylinder with a height of 7 cmand diameter of 240 mm? 3360π cm2 1680п…

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Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: Given than | f(x) dæ = 4 and f (x) da 8, which of the 3 following is NOT TRUE?

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Q: Find 4小1 机g:f el fof (メ= 区 x = 3x # S 3. f位)EX

A: We have to find the fog gof and fof functions.

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

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Q: f(x + Ax) - f(x) Find lim Ax-0 Ax f(x) = 3x- 9x %3D Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

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Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: g (x) = sin(x) Compute IT IT + g' + g" 2

A: This question is based on derivative of a function.

Q: *** . ***** ******* . Determine whether the lines intersect, and if so, find the point of…

A: To find the point of intersection of given lines.

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.

Q: 2t2 + 38 sinh 16t

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Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: Find the inverse of the matrix 3 0 2 -1 1 A= -2 -3 1 1 글 0 를 글 0 를 0 글 1 1 0 글 를 0 글 1/2 1. 112 112…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: To determine the point of intersection of the given line and plane.