Evaluate the following integrals. (a) (b) Sx√4 x√4 + x² dx

Q: Given that lim f(x) = 9 lim g(x) = -2 lim_h(x) = 0, X→3 X→3 X-3 find the limits, if they exist. (If…

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: This question is related to vector addition, we will solve it using given information.

Q: 4) y(2xy +1) dx - xdy = 0

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Q: When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the…

A: We have to find value of a to the nearest hundredth.

Q: Find the volumes of the solids generated by revolving the region about the given line (a) u = 3r.…

A: Let's find volume of solid(V).

Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: Given

Q: d) y = 21+1 31-2

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Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

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Q: Use a calculator to evaluate the expression.   Round your answer to the nearest hundredth.…

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Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

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Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A: Consider the graph given below :

Q: d- d³y dx3 d²y +6 dx² - Q.2-Solve the differential equation 15 - 100y = 0 dy dx

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Q: Q2: Find the following limits 1-√x²+1 1. lim X-0

A: Given, limx→ 01-x2+1x2

Q: Chapter 11 Test (3) 6. Simplify the following: n!(n+1)! (n-2)!(n+3)!

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

A: Formula:- Volume of Parallelepiped = [u v w]

Q: Find the general solution of the given ODE dy x + 2y - 3 2+y−3 = dx (x + y)² = C(x + y − 2) Option 1…

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Q: What is general solution of the given ODE. * dy = cos² (x − y + 1) dx cot (x-y+1) + x + 1 = C Option…

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Q: sec5 (sin ¹(7x)) √1 - 49x² dx

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Q: Graph the function. f(x)=3√x-5 Plot four points on the graph of the function: the leftmost point and…

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Q: 1) Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

A: The given multi-variable function is f(x,y)=x^4+y^4-4xy+1

Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A: We need to do integration of our given function. Which we can do it as

Q: Evaluate the line integral F(x, y, z) = (x,-z, y). Jo F. dr where C is given by r(t) = (2t, 3t,…

A: We will use concept of parameterization to solve this.

Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.011. MY NOTES ASK YOUR TE In this problem, y = C₁e + c₂e is a…

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Q: whats the value of alpha?

A: In question their is no such variable alpha . Question is incomplete.

Q: X 1 2 3 1 3 4 Y 2 3 2 5 3 6 The following relationship exist between a dependent and independent…

A: Equation of the given relationship is :y=x2-3x-2.we have to find the values of dependent variable on…

Q: Which of the following is not a homogeneous function? h(x,y)= xª − 3xy³ + y¹ − x² cos Option 1 b(x,…

A: Let's solve.

Q: (5) Suppose that fis continuous on [a,b], _f(x) ≥ 0 Vx = [a,b] and ['f(x)dx = 0. E Prove that f(x) =…

A: Concept: In this question, we will prove that f(x)=0 ∀x∈a,b using the contrapositive method. Let us…

Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: The given equation is homogeneous differential equation  (x-y)dx +x dy =0.            On…

Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

A: I have appended the formula used in the solution part of the question

Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: b. S sin (3x) cos¹ (3x) dx

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Q: Solve the differential equation. 2. (y^2-2xy + 6x) dx – (x^2 – 2xy + 2) dy = 0

A: To solve the given diffrential equation.y2-2xy+6x dx-x2-2xy+2 dy=0

Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Correct the answer Find the median for the following numbers: (21, 32,29, 8, 18, 3, 25) A-8 B-7 C-9…

A: To find the median of given set of numbers.

Q: h(t) = + 3²²-t t

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Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

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Q: Integration of Inverse Trigonometric Functions 1 1). fsinødø.; cos² Ø+9 1 2). Scotødø.- √9-In² sino

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Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: using the guide below Analyze and sketch the curve (x) = (x-1)² A) Domain, intercepts, asymptotes,…

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Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: 50 own. Draw the graph of y=g(2x).

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Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: -Reduce the equation to its ordinary form using rotation and translation of axes

A: answer is in next step .

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

A: Differentiation with steps need to be done.

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

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Q: (5) Ind SSS ay dV, where B lies under the plane z = 1+x+y B and above the region in the xy-plane…

A: 5. We need to find the triple integral: ∭Bxy dV B lies under the plane z=1+x+y and above region in…

Q: (b) Find the intervals of increase or decrease of ƒ.

A: Solve the following