Let ā= <-3, -2,3> and b = <-3,5,2>. Find 3a + 3b.

Q: Find the solution of the initial value problem y" + 36y = 0, y() = 3, y' (-) = -6 18. Sketch the…

A: See the details solution in below

Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: Given a solid right circular cone having a height of 8 cm. has a volume equal to 4 times the volume…

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Q: 17/3 cos (t)h(sinct)) dx

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Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: S 3 7 39+x² dx

A: We need to solve integral.

Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F. I

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Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: can you please write it clearly for better un

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Using Matrix operation

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

Q: ① use First_principle to solve 강종 If y=45-35

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: Which of the following is a unit vector parallel to the vector? Select one: 81, 81 81 3.0,- /> None…

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Q: X √I + X dx

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Q: Solve: y'' - 4y' + 4y = xsinx

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Q: We are interested in the first few Taylor Polynomials for the function = 8e +9e-x f(x) centered at a…

A: The given function fx=8ex+9e-x

Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: 1. 11 0 y x²exy dxdy

A: ∫01∫y1x2exydxdy

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

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Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

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Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x)= = Using the…

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Q: عندما r = 3 cm تكون : ع. 115 V فان قيمة ب. 110 dv dr اذا كان ar3 113 j

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

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Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: OS: Find the solution of the following D.Est 5y-x7 at x- 2

A: Note:as per guidelines we support only one question in one request.kindly repost next question in…

Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t)…

A: A mug of beer chilled to 32 degrees, left in a 68-degree room,will warm to a temperature of…

Q: Evaluate the following integral. √144-16x² dx

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Q: If y, and Y2 are linearly independent solutions of y" + 3y + (5 + t)y = 0 and if W(y₁, y2)(1) = 3,…

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