Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →when x = 1, y = 1

Q: solve the equation y' = 1 + 3ytanx

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Q: Find the sum: 161 6 5 + 2π 5 + 3π 5 + 4π 5 + ... + 23m 5

A: As we know the expression for the sum of nth term of the arithmetic sequence is: Sn=n22a+n-1d Where…

Q: A particle is moving along the x-axis such that its position is given as a function of time as x(t)…

A: At what time particle stopped??

Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

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Q: 37. f (x² + e¹) dx

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Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: Use the chain rule to differentiate with respect to t.

Q: Evaluate the integral.

A: Given,            ∫042sdsTo find : Evaluate the integral.We know that,             ∫2xdx=2xln2+C;…

Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: The Solution is given below:

Q: Problem 7: Find the derivative of each of the following functions. 2t (a) g(x) = f*2 2 + dt fx² -2…

A: if h(x)=∫axf(t)dtthen h'(x)=f(x)dsinxdx=cosxdxndx=nxn-1

Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) y = √e*+…

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Q: Find the area of the region enclosed by y=6x and y=5x2

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Q: 41-54 Find the absolute maximum and absolute minimum values of f on the given interval. 41. f(x) =…

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Q: Let f(x)=√8-x³¹ for x <2. -3.x² 2√√8-x³ (a) Show that f'(x) = - for x < 2. The graph of y=f(x) is…

A: Given a function y=f(x)

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

Q: A dam having a width of 500 m is holding back a column of water of height H meters. The total force…

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Q: Find the area of the graph enclosed by y=7x and y=4x2

A: Given:     Curves y=7x                 y=4x2 The area between the curves is the area between a curve…

Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: Evaluate the indefinite integral. Use C for the constant of integration. S sin (+) √ 1 + cos(+) d+

A: Find the indefinite integral

Q: Find the equation of the tangent line to the parabola y 2x2x+3 at x = 2. Circle your final answer

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Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Which interval is f increasing when f'(x) = x³ - x? (a). (-∞,0) (b). (-1,0) (c). (-1,1) (d). (0,0⁰)

A: we need to find out the intervals where function is increasing.

Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z ≤ 6; Js f(x, y, z) dS = ¯ f(x, y, z) = ez

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Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

A: Solve the following

Q: Find all the horizontal and vertical asymptotes (if any) of the function g(x)=|3x|· tan¯¹ '() Show…

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Q: d. f(x) = (2x-3)5 (2x²- e²x)-3

A: Given query is to find the derivative of the expression.

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: 15. Integrate f(x): = sin(x²) x using a power series

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Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: 6. Determine whether the series is convergent or divergent. If it converges, find the sum. Σ(++ (4)…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: For the parabola 4x + 2y² + 8 = 0, find the directrix.

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Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 2), defined on the interval…

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Q: (a) (b) dv Find and dT dv dM means that in dry air: Write a sentence describing what each of the…

A: v = 273.15BγM.1 +T273.15let 273.15Bγ = a and 1273.15 = bTherefore,v = a1 + bTM dvdT = ddT(a1 +…

Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) and the ou y…

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Q: Evaluate the integral by making the given Substitution. (Use ( for the constant of integration.)…

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Q: Solve for x: 2sinx=3

A: NOTE: Refresh your page if you can't see any equations. . the given expression is divide both sides…

Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-

Q: If f(x, y) = 4x² - 7y², then the total differential of fat x = 1 and y=-2 is; O df = 28 dx + 8 dy df…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: [₂ (7t² + t + 1) dt -3

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Q: 6. When a particle is moved from x = 1 meter to x=3 meters with a force of (x²+2) Newtons, how much…

A: To solve the problem we use the following: Let dw denotes a small amount of work done by the force F…

Q: Using Integral test, determine convergence or divergence for Σn (Inn)³3 * n=3

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Q: Find the function represented by the following series and find the interval of convergence of the…

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Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

A: Determine the derivative

Q: Determine the projection of the surface - y² = z on the xy- plane? (Hint: z = 0) O One Line O…

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