Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: x+ 16 The function f(x) = is one-to-one. For the function, a. Find an equation for f (x), the…

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Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

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Q: Given the differential equation "= 2x (y')2 Jsing Reduction of Order and the letter "R" to this…

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Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

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Q: Use the power reduction formulas to rewrite the expression, sin2(6x)

A: Given query is to rewrite the expression.

Q: x y" - 3 y' = 7x Using Reduction of Order and the letter "R" to this differential equation reduces…

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: To find the area of the region bounded between the given curves.

Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: Work Problem 2( Question 1 ( Use the First Derivative Test to find the local maximum and minimum…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: ? Va dx Vx csch vx cosh 4-S-

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) N(2) =

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Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

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Q: Given the differential equation y" - 4 y' 8 Using Reduction of Order and the letter "R" to this…

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Q: 1. S 7e*dx 2. S(5e* 6*)dx 3. § 3(5*)dx

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: cosh? V 4-S dx Vx csch vx

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Q: Work Problem [ solutions and justify your answers. Write step-by-step (1) L. | Solve the…

A: The given differential equation can be solved as follows:

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

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A: We have to find equation of tangent line

Q: Evaluate the integral. 37/4 3 sec e tan e de -7/4

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Q: Work Problem Write step-by-step solutions and justify your answers. Find the general solution of the…

A: The given differential equation is: y'''-3y''+2y'=0 So, we can also write as; D3-3D2+2Dy=0 The…

Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

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Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: f(2) = | Given t2 – 49 -dt 1+ cos2(t) At what value of x does the local max of f(x) occur? | f(x) x…

A: Explained below

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = z +3 A 3.

A: Note: As per our guidelines, we are not restricted to handwritten or typewritten. We are free to…

Q: da Evaluate the integral dx. sin x cos x (a) In sec a| - In |sin r| + C (c) In |csca- cot c+ In sin…

A: Given problem:-

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = , • sin (z ) (cos…

A: A detailed solution is given below.

Q: Use l'Hôpital's Rule to evaluate lim 4x( cos (2x) - 1) sin (5x) - 5x 4x( cos (2x) - 1) lim sin (5x)…

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Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: cosh? Vx dx 4-) a csch vx vx csch vx

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Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: f(x + Ax)-f(x) D. APPROXIMATE DERIVATIVES f(x) = Ax 8.) 2A

A: Given function f(x)=2x

Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

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Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

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Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

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Q: For Item # 3- 5: Myrvel is working on the graph of the function y = - 2x + 4x – 6x + 7 and the point…

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Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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Q: 4. A force of 35 N is applied at a 125° angle to an o same object at 220°. A third force of 97N is…

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Q: 4) A particle is moving along the curve y = vx. As the particle passes through the point (4,2), its…

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Q: 8y2 + 3 dy /6 – 2y

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

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