Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant II.) tan½x -3/2 2/3 3/2

Q: Write the f(x) = |3x − 1| in its piecewise-defined form.

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Q: (x² + 1)y' + 2.xy + 2x = 0

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Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

Q: Evaluate the integral by rewriting the integrand appropriately, if required, and applying the power ...

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Q: ㅇ 1/x dx 39 -1 +3

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Q: 8. Which of the following is the curl of F = (2xy +1, x² + 2yz, y² – 2 )? %3D а. 0 b. 1 с. -1 d. 2

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Q: PART I. Solve for x in each proportion. jewane 1uoy nislox3 inemetete yhslimie e shw x-5 3. x+3 15 2...

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Q: Consider the following functions. f (-3,–2), (2, 0), (1, – 1), (–2, –5)} and 8 = {(5,0), (0, 1), (1,...

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Q: 2(14 – 2)² dx = (14 – x)² dx %3D

A:     ∫ x1314-x2dx=∫ 196x13-28x43+x73dx=∫ 196x13dx-∫ 28x43dx+∫ x73dx=147x43-12x73+310x103Add a constan...

Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

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Q: A restaurant has an annual demand for 925 bottles of California wine. It costs $3 to store 1 bottle ...

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Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: f (t) = et sin (3t + 2

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Q: с). I(т) — 23 +1

A: The given function is: I(x)=2x3+1

Q: Let A = and B = , P = (9, 8, 7) c. find an equation for the plane containing A and B and the point ...

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Q: PART A) A hyperbola with vertices at (0,5)and (0,-5) passes through the point (11,6). Draw this hy...

A: Find your answer below 

Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: i da

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: V1+x2 dx 3. J 3.s

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Q: V1+x? 3. S dx

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Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers...

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: b) What could be the degree of f(x)? -3 2. -1- c) What is the sign of the leading coefficient? -4 -3...

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Q: f(x + h)- f(x) Find and simplify the difference quotient h#0 for the given function. f(x) = Question...

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A: This question is based on gradient of function.

Q: 1. S Vx²-1 dx dx 4. S x² /x2-9 dx 5. J 16-9x 2. S dx x/16-9x2 4-x2 3. J 1+x2 dx

A: Given

Q: Consider the following functions. f(-3) = 14 and g(-3) = -11 Step 4 of 4: Find |(-3). Answer How to ...

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Q: Evaluate the following integral XVx + 1dx O 5/2 (x+1)^(2/5) -2/3 (x+1)^(3/2)+c O 2/5 (x+1)^(5/2) + 2...

A: We know that; The trigonometric identitites; 1). sinx=1cscx 2). sin2x+cos2x=1 3). cotsin-1x=1-x2x   ...

Q: 7. Cos? 3" cos n n=1

A: ∑n=1+∞cos2n3nBy comparison testcos2n3n≤13nSince ∑n=1+∞13nconverges by geometric test 

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a...

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded regi...

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: the figure attached, an equilateral triangle is inscribed in a circle. How many times greater is the...

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Q: Consider the following functions. = x and g(x) = x| %3D Step 1 of 4: Find (f + g)(-2). Answer How to...

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Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P (th...

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Q: 1 dx x²/25 - x2 -1/5 sqrt(25-x^2)/x+c O -1/25 sqrt(25-x^2 )/x+c 1/25 sqrt(25-x^2 )/x+c 1/5 sqrt(25-x...

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Q: Evaluate the following limits a) limx-0- 5 b) lim, 5 c) limx-o

A: limx→0-5x2For x approaching 0 from the left, x<0  ⇒   x2>0,The denominator is a positive quant...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (kn 6sin O abs...

A: Here, the given series is: ∑k=1∞6 sin kπ2 Let, ak=6 sin kπ2; k≥1

Q: Consider the function f(x) = zX - 6A Let R be the region bounded by the curves 3 y = f(x) and y = 0 ...

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Q: Consider the following relation. S = {(10, 2), (–4, 6), (–7, –9), (3, –4)} %3D Step 1 of 2: Find the...

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Q: (a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magn...

A: Let's find. 

Q: The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...

A: Graph

Q: Directions: Find the derivative of the following functions: 1. y = sec 5x 2. y = 4 cot u 3. y = cos ...

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Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: In constructing an open rectangular box from 768 ft of material, what dimensions will result in a bo...

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Q: children is based on the ratio of the child's weight to that of an average adult. The average adult ...

A: We will find how much a child should take for his medication. 

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 5. lim tan r 2. lim 5" ...

A: 1. f(x)= 3x x 0.99 0.999 0.9999 1.01 1.001 1.0001 f(x)= 3x 2.96722 2.996706 2.99967 3.03314 3.0...

Q: 2. Use the previous item to determine if the improper int 2x – x3 dx (x – 1)2 (x² + 1) - 1:. TE :4

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Q: h) f(x) = Write your answer in simplified factored form. %3D

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Q: _8. If y = (2x + 7)², then what is ? dx а. dx dy 2(2x + 7) C. dx dy = 2 %3D dy dy b. dx = 4x d. = 8x...

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Q: 9. An amount of $12,000 is deposited in a bank that pays interest at a rate of 3.5%, compounded cont...

A: Given query is to find the the amount after 4 years and the interest earned.