dy 2x = (3y + x)- dx

Q: problem for x as a function of t. Solve the initial-value dx (t² − 10t + 21) = 1, (t > 7, x(9) = 0)…

A: The given equation is;  (t2-10t+21)dx/dt =1 (t>7, x(9)=0)

Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Let f(x) = (x²-5)e¯* (x > 0). Find the critical points c that correspond to local minima. (Use…

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Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. C = O a = b= A…

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Q: CHECKPOINT 3.14 √ √ Rewrite the integral evaluate the integral). x³ √25x² dx using the appropriate…

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Q: Evaluate using Reduction Formula 1. [ cos7x dx cos" x dx dx = = cos"-¹x sinx + -"-1 [cos"-²x 12 1…

A: ∫cos7x dx

Q: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

A: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

Q: Find the indefinite integral. (Use C for the constant of integration.) [(323√/7³-√3/3/3) dx 32x5

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Q: Evaluate both sides of the following equations and state whether they are true or false 15(2)j² =…

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Q: Express the number 3√3 - 6i in the form R(cos(0) + i sin(0)) = Re¹0, where R> 0 and -T≤ 0 ≤ T. NOTE:…

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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

Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

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Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…

Q: An open-top storage box with a square base has a capacity of 32 m². Find the dimensions that will…

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Q: 3. Evaluate the following multiple integrals +¹(1+8x)dydx a. b. 0 x T xcos(xy)dydx

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Q: Does the series (-1)k +1_ k=1 6 k +4 converge absolutely, converge conditionally, or diverge? Choose…

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Q: Find the solution of the given initial value problem: y(t) : y" + y = sec(t), y(0) = 9, y'(0) = 3,…

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Q: Use the point on the line and the slope of the line to find three additional points that the line…

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Q: ASIC ( Determine the intervals on which the given function is concave up or concave down and find…

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Q: Consider the following initial value problem. Determine the coordinates tm and ym of the maximum…

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Q: Your broker has suggested that you diversify your investments by splitting your portfolio among…

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Q: Determine the length of the parametric curve given by ㅠ = cost, 0≤t t≤ 2. X = sin³ t, y

A: To determine the length of the parametric curve given by x=sin3 t, y=cos3 t, 0≤t≤π2.

Q: 2. Integrate: x² In x dx a. In x+c. b. [(In x)² ++c c. [(Inx)² - Inx+]+c d. none of these

A: The given integral is x2lnx.

Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: Identify any Intercepts. y-Intercept (x, y) = x-Intercepts (x, y) = (x, y) = Test for symmetry.…

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: =(4,-1, 7) along b = (6, 6, -7) and the vector component of v Find the vector component of v =…

A: Given vector,v = 4, -1, 7b = 6, 6, -7Vector component of v orthogonal to b.

Q: Q1 (a) Show that y= Ae²* + Be ³*, where A and B are constants, is the general solution of the…

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Q: A = 21° 45', a = 9.5, b = 22 se 1: = ° (smaller B-value) Case 2: B = C = C = O X (larger B-value)

A: topic:- trigonometry ratio in triangle

Q: (4- x - x² if x ≤ 2 2x-7 if x > 2 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: Solve the initial-value problem for x as a function of t. (2t³ − 2t² + t − 1) = 0 dx dt = 3, x(2) =

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Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: S √x XHI хр

A: the solution is given in step2

Q: You know that d/dt f(r(t)) = 69 at t=7 if r(t) = [t, t] and d/dt f(r(t)) = 21 at t=7 if r(t) = [t,…

A: Given that , ddtfrt=69 at t=7 if rt=t,t and ddtfrt=21 at t=7 if rt=t,14-t find the gradient of f at…

Q: Find the critical points of f(x) = x - x and apply the Second Derivative Test (if possible) to…

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Q: 10. (True/False) For any continuous function f(x, y), we have fry = fyr.

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Q: Problem 2. Let f(x) = 8x²8x4. Find the open intervals on which f is increasing (decreasing). Then…

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Q: Current Attempt in Progress Let a = ci + j and b = 7i+ 49j. Find c so that a and b are orthogonal. C…

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Q: Consider the following linear differential equation x dy/dx + 2y = sin(x). a) Calculate the…

A: The objective of the question is determine the I.F. and solution of the differential equation.

Q: Use the method of variation of parameters to determine the general solution of the given…

A: Let's solve given differential equation.

Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

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Q: 5. (True/False) Every critical point is either a local maximum or a local minimum.

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Q: Question 2 of 15, Step 3 of 3 Consider the following polynomial function. f(x) = (x + Step 3 of 3:…

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Q: (d) Horizontal asymptote(s): (e) Interval(s) where f is increasing: (f) Interval(s) wehre f is…

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Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Without using a calculator, enter the sine and cosine of 240° using the reference angle. Decimals…

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Q: Sketch the region enclosed by y = e5x, y = ex, and x = 1. Find the area of the region.

A: This question is based on application of integration.

Q: For the function f(x)=e* + ex, prove that the arc length on any interval has the same value as the…

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Q: Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

A: We can find the answer as below.