Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3 NIW X

Q: Solve the following initial value problem for the unknown function y(x) a) y' = 2xy², y(1) == b) 2…

A: Topic:- application of integration

Q: 6)Find the first quadrant area of the region bounded by curves defined by given equations

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Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

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Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: फ 1/2 Determine the equation of the axis of the curve of the following trig function. ● a) y = -1 ©…

A: Please see the below picture for detailed solution.

Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

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Q: sinx/(4+cosx)

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Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: -) 5cos(x +40°) - 3.6 = 0

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Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: What is the derivative of log (x²)? ○ 2x-log(x²) 1 x² 2x O log(2x) O exp(2x)

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Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: 10. (a) m = 0 L₂ (b) m = -² L₁ (c) m = 1 L3

A: Here, the given lines are with the slopes m=0m=-34m=1

Q: You are driving on a toll highway from King Road to Queen Road (a 50 km drive) in 25 minutes . Two…

A: Suppose, s(t) is the position function after t hours of time in km. Now, s(t) will be continuous and…

Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

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Q: 5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t…

A: Given the oil delivery rate,          D(t) = 5t/(1+3t)  gallons/hour  Here 't' is in hours. We can…

Q: 3. xy = a², y = 0, x = a, x = 2a.

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Evaluate the indefinite integral. 4 (t + 4)³ dt + C

A: Topic = Integration

Q: Consider the function f(x) = 6x¹0+ 3x5 - 2x³ - 3. An antiderivative of f(x) is F(x) A is and n is…

A: The given function fx=6x10+3x5-2x3-3 use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: Find the values of x, y and z that correspond to the critical point of the function 2 = f(x, y) =…

A: The given function fx,y=4x2+8x+7y+3y2 To find the critical points of the function

Q: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

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Q: 2. (xy + x) dx = (x²y² + x² + y² + 1)dy

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Q: Please correct me if i'm wrong. The points where f(x) appears to concave downward appears to be…

A: Given , the point where f(x) appears to be concave downward appears to be (-2 , 2.9 )

Q: f(x) = √x²-2 7+|x6| S if x < 2 if x ≥ 2

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Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

Q: The angle between two vectors a = (1, 1, 2) and b = (-1, 2, k) is 60°. Find the value(s) of

A: Topic:- application of vector algebra

Q: Evaluate ſ F . n dS if F = (x + y² ™)ī − (2x)j + (2yz)k and $ is the surface of the plane 2x + y +…

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Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: 9. Given vectors = [3,-6,8] and v= [4,-2,-5], determine uxv.

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Q: di. Use v = L to find the voltage across a 30mH inductor at t = 5ms if dt (round final answer to 2…

A: By using v=Ldidt to find the voltage across a 30 mH inductor at t=5 ms if i=40 sin20πt-π6.

Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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Q: Question 6 Determine the Fourier series for the function defined below: f(x) = 2x in the range x = 0…

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

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Q: VIBDIC he following DES. to E visbiol

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Q: Given: (x is number of items) Demand function: d(x) = 768.8 0.3x² Supply function: s(x) = 0.5x² -…

A: Given: (x is number of items) Demand function: d(x) = 768.8 - 0.3x² Supply function: s(x) = 0.5x²

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

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Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: 10 times as many as 1 hundred is_______ hundreds or ________ thousand

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Q: y 5 4 3 2 - 2 3 сл 1 2 В 5 6

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Q: Test Σ n 1 2" n! for convergence

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Q: Find the tangential and normal components of acceleration. r(t) = (cos(4t), sin(4t), 3) ат an = II

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