7/3 tan'x secºx dx 30.

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A: We can find the instantaneous rate of change as below

Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

A:

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2)=-1; f(3) =-3 Given: R...

A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

Q: driver driving along a highway at a steady 41 mph (60 f/sec) sees an accident ahead and slams on the...

A:

Q: given

A: We will solve the integration. 

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: csc xcot x sin(csc x )dx

A: ∫cscx cotx sin(cscx) dx

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A:

Q: what relationship should be present between two vectors for the law of cosines and sines to be used ...

A: a) for cosine law, the two vectors should have an angle between them. We should know any three eleme...

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A:

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. -9...

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Q: Homogeneous ODE x^2y'=4x^2+7xy+2y^2

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Q: Find the integral. e4X cos 3x dx + C

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Q: 3. Find the exact value of each trigonometric function. cos-1 cot

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Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Consider a circle with equation x² + y² = 20 and the point P with coordinates (-1, 2). Is P inside, ...

A: We have to solve the circle inside, outside, or on circle

Q: An airplane moves in the northwesterly at 125 mi/hr relative to ground, due to the fact there is a w...

A:

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 6x + 0.3x². (a) F...

A: We will find the average rate. 

Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

A:

Q: Proof 2: 14 sin x dx tan xdx = /6 COs x 1 -= sec x dv = sin xdx cos x du = sec x tan xdx v =-cos x 1...

A:

Q: Repeating decimals can be expressed as an infinite series. Use the sum formula for an infinite geome...

A: The given number 0.81

Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

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Q: y = Arc tan Vx

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Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

A:

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: xdx 2. 3-x

A:

Q: Find an equation of the tangent to the curve

A: Given that: x=tcost and y=tsint

Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: A' + BT

A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT

Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

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Q: (5y+3) 13y+6y+7 O A none of the choices yy + -ten .cmd -ae

A: First rewrite the integral then apply linearity and the solve one by one and get the final answer by...

Q: Find the general solution of * yV - 2y" + 10y" = 0

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please r...

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

A:

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

A:

Q: Given the differential equation y" - 6 y' = 0 Determine the Characteristic Equation for the Differen...

A: First we find out the characteristic equation of the given differential equation.

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

A:

Q: Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplac...

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Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Find the smallest value of k e N for which the area under the graph of f(x) = x* + x between x = 0 a...

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Q: y" + yW – 9y" – 13y" + 8y' + 12y = 0

A:

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how ...

A: