sin 2x cos 2X I+ 3 cos4X

Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

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Q: to find thę coordinates of the absolute extremum (absolu maximum and/or absolute minimum) for the…

A: f(x)=-3x4+12x+2f'(x)=-12x2+12f'(x)=0-12x2+12=012x2=12x2=1x=±1Critical points ;…

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Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: u = 7i + 5j + k v = i+j+ 8k w = i+ 2j + 5k nd the volume. i

A: Given query is to find the volume.

Q: Seve by using the strategies for solving application problems The vendor of a coffee cart mxes…

A: Let,  Amount of $9 coffee be x. Amount of $5 coffee be y=(70-x).

Q: Find the solution with the given initial condition. r"(1) = (e', sin (1), cos (t)), r(0) = (1,0, 1),…

A: First we integrate r"(t) twice and then imposing given initial conditions we get our required…

Q: Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w =…

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Q: 28. f,(2,4) if f(x, y) = x* In y

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Q: Qz IF A-(-2 4) B=(% 4) 2 3 -2 4 Prove! CA *B)*C A*(BaC)

A: Here, the given matrices are: A=-24, B=5104, C=23-1-241

Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e ,

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Q: ewrite int _0^1 int _0^{2-2x} int _0^{{1/2} (6-6x-3y)} dzdydx as dzdxdy and dydxdz

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Q: Evaluate the indefinite integral. dx 1 + x10

A: ∫1x2+a2 dx = 1a tan-1xa+C

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

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Q: State as TRUE or FALSE. d) 143 = -40 (mod 5) e) –4 = 788 (mod 3)

A: a≡b(mod n) means a-b is divisible by n

Q: Write the polynomial as the product of linear and quadratic factors that are irreducible over the…

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Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

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Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

A: The region which is inside the circle r=3 cos θ and outside the cardioid r=1+cos θ is:

Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: The plane with normal vector (0, – 2, – 4) containing the point (-7,4,-3) has equation Aæ + By + Cz…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: the ground. (a) How many seconds after its release will the bag strike the ground? (Round your…

A: Given  Initial height = 32 feet initial velocity = 16 feet per second  a(t) = -32

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

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Q: y" + 4y' + 6y = 1 + e¬2t , y(0) = 0, y'(0) = 1

A: We need to solve the differential equation.

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: r = 3 cos 0

A: The given curve,  r=3 cosθ

Q: do number 3

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Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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Q: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

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Q: z = 3 - t , z = 6 – 4t parallel.

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Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

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Q: Given ú x ở = (2, 3, – 3), find (ủ – 4v) × (ú + 3v).

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Q: 4. Let f(x) be a function that satisfies f(3x) dx = 1 and 3f(x) dx = 15. Calculate f(x) dx. Show all…

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Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

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Q: he table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing…

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Q: Write the form of the partial fraction decomposition of the rational expression. бх — 1 († – x)x A В…

A: (6x-1)/x(x-4) it is very simple because in numerator there us multiplication given so A/x + B/(x-4)…

Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 4, 0), P3(0, –…

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