7√2 2 0 x² 49-x² dxl

Q: Given the ODE (cscy)dx + (cos²x)dy = 0. A one-parameter solution of it is: O cosy + tanx = c siny =…

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Q: Trig Substitution: For the following integral, which trig substitution is needed? O Tangent Sine…

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Q: Find a differential operator that annihilates the given function. -2x+3x³+x²e5x

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Q: 3 여 x 3

A: Given: 121-111231X=0-21

Q: B)Solve the differential equation; =(3+x-¹)+x²e³x.

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Q: Solve differential equation dx -(2ln5y+x-¹) 2xy-1

A: Solution is given below:

Q: sin 8 cose √cos²0-9 S do

A: Our Aim is to evaluate the integral given below:-∫sin θcos θcos2 θ-9dθ -(i)

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Q: Question Find the angle, in degrees between 0 and 360°, which intersects the unit circle at the…

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Q: P 3. Evaluate the integral fx cos(3x²) dx as an infinite series. (You do not need to find the radius…

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Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The interest on an account increases exponentially. If an initial investment of $5000 earns $900 in…

A: Given: Initial amount =$5000 Increase amount =$900 Time =2 years To find: Rate of increase at the…

Q: Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If…

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Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: -2- 0 y = g(x) 4 7 x

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Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx

Q: The curves y = 2x - x 2 and y = 3x2 - 6x are used to form the boundary of a thin plate of uniform…

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Q: 2π π +][im [[(sinx + cosy)dxdy πο 5.

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Q: Use logarithmic differentiation to find the derivative of the function f(x) = (sin 7x)/x c) Coal is…

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Q: Note: Attempt All Questions Q1/ Answer the following: √4x5 2 16 45 A. Find the shortest distance…

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Q: Suppose the speed of a car approaching a stop sign is given by v(t)=(t−13)2​, for 0≤t≤13​, where t…

A: The given data is: vt=t-132, for 0≤t≤13 (a) Find v'7

Q: Use Theorem on the derivative of the inverse function to find g'(a), where g= f-1. Calculate g(x)…

A: Here we have to find the inverse function and then its domain and range.

Q: If y=mx+b is the equation of the tangent line the curvey=x²-3x+5, which is parallel to the secant…

A: Let's find slope and y intercept.

Q: Using the Factor Theorem, which of the following is a factor of the polynomial function f(x) = 5x² +…

A: Given polynomial function is f(x)=5x3+5x2-60x

Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

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Q: First, compute the gradient of the function f(x,y) = 4+5x²-3y². Then evaluate it at the point…

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Q: cos¹3 xdx 2. Dễ sin12xcos®xdx 1.

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Q: Question: 9 a)Use the second derivative test to determine whether the function has a local maximum…

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Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: Find the average rate of change of the function f(x) = x² + 3x from x₁ = 2 to x₂ = 4. The average…

A: The function f(x)=x2+3x from x1=2 to x2=4

Q: Describe the level curves of the function. z=x+y, c= -2, 0, 2, 3 O The level curves are parabolas.…

A: We need to choose correct option.

Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4…

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Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

Q: Question 20 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = −312 - a) Show that the given…

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Q: Determine where the vector function r(t) = i + (14t) j is continuous. Use symbolic notation and…

A: Please see the below picture for detailed solution.

Q: Find the limit. lim (x, y) (1, 56) √x + y √x + y Discuss the continuity of the function. O…

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Q: On which of the following intervals is f(x)=x4-100x²+x-10 concave up? Selected Answers: A. (-∞,-5)…

A: Concavity

Q: For f(x) = 7x and g(x)=x+4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

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Q: What is calculas

A: Concept: Calculus: One of the most significant areas of mathematics that deals with continuous…

Q: Evaluate the following limit. t sinj+ sin = 1+ k t -k π lim costi-5 1-x

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Q: Find three mutually orthogonal unit vectors in R³ besides ti, tj, and tk There are multiple ways to…

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Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y - 4z² + 32z = -312 a) Show that the given…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: B)Evaluate the integrals: i) √1-x2-x²-y² ii) -² ²-²-² dz dy dx. xe dy dx.

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Q: A rectangular base box must be constructed, with a sheet of cardboard 40 cm wide and 50 cm long,…

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Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: -1 t² Vta 6 dt

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