Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas you used to obtain your answer (x-5) 2. dx

Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: 424

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Q: 3 dy 4y-3

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Q: Solve the given system of differential equations by systematic elimination. dx 2х - у dt dy = X dt (...

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Q: A car is moving at a constant acceleration of 3.4 m/s² away from a tree. At t = 0, the car is 13 m a...

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Q: Determine the following limits. If the value is infinite, specify 0 or -o with enough justification ...

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Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exac...

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Write an equation for the polynomial graphed below 5+ 4+ 1 -5 -4 -3 -2 -1 -1+ 4 5 -2+ -3- -4 -5+ y(x...

A: topic- polynomials

Q: Consider the function whose graph is shown below. Determine if the function is continuous at the fun...

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Q: dy If y = (t² + 7t + 5) (2t² + 6), find dt

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Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X...

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

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Q: 1 1 4. x2 + yi = 9| %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is attach...

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Q: Use Polya’s four-step problem solving strategies. Show complete solutions (a) A local furniture st...

A: To find: The original price and the saving if furniture bought at the sale by the use of Polya’s fou...

Q: 4. Calculate the volume of the solid under the plane 4x + 2y – z = 0 and above the finite region R e...

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three decim...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: y?sinx + y = arctanx, solve for y

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Q: Let f(x, y) = x² vI Evaluatef(3, 4)

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Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...

Q: Find the area bounded by the curve y =x +x-2x and the x- axis. 1. For critical points. ii. 2. For po...

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Q: set up a triple integral for the volume of the following solid: the solid that lies in the first oct...

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Q: Question 14 The domain of the following function (x.v) =In(x-r+1) is given by the equation:

A: The given function is: f(x,y)=ln(x-y+1)

Q: Given f(x)=x + 2vx. Use the definition of derivative to find f'(x).

A: Given that        f(x) = x + 2√x Here by using the definition of derivative we have to find f'(x).

Q: Solve x (t) – 2y (t) + z (t) = -3 x' (1) + y' (t) – z' (1) = 2 x' (1) + 2x (1) + z (1) = 1 where x (...

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Q: Recall that, for any continuous function f(x), the definite integral (x) dx gives the area under the...

A: Solution is written in below steps.

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

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Q: the given Cauchy-Euler equation to a differential equation with constant coefficients. (U

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 3x2 – 6x + ...

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Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A: Distance is given as d=AP→×AB→AB→  

Q: y = 4x2 + 16x + 9

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 6. g(s) %3Dr-고 +1 in

A: The objective is to match the tailor polynomial approximation of the function with its graph. 

Q: 3. What indeterminate form is the lim x. Evaluate the limit.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0<x≤3

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given : y"+y=csc(x)

Q: 10. ((ex-2)2 e 2x + 4 S dx

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: y = cos(x In 3) log3 (sin x) is: y 3D cot(x) cos(x In 3) – sin(x In 3) In(sin x) y' cos (x In 3) - s...

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g'   And ddxlogax=1xlna...

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where neede...

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Q: A normal vector for the plane through the points (2, 5, 1), (3, 7, 0), and (2, 5, 2) is <

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Q: xy? + x² + y² = 1 %3D

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Q: Find the vector component of v = 2i -j+ 3k along b =i+ 4j + 8k and the vector component of V orthogo...

A: Formula:vector component of A along B:A cosθ B^ =(A→·B^) B^ B^ =B→B→ v=2i-j+3kb=i+4j+8kb^ =bb=(i+4j+...

Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: Given z1 = 2 - i sqrt 5 and z2 = 2 + i sqrt 5 find z1/z2

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Estimate the slape of the line rom Its graph.

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Q: 5. Verify that the hypotheses of the Mean-Value Theorem are satisfied by the function f defined by f...

A: Given,            fx=25-x2 on -5,3