Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

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Q: Let a = ci + jand b = 6i + 30j. Find c so that a and b are orthogonal. c = i

A: The vectors are given by a = ci+j b = 6i+30j Condition for orthogonal vectors:  a·b = 0 To evaluate:...

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A: Given :   f(x)=7sin(pix) X0=9/2

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Q: 972+2z-5 Evaluate lim, A. undefined О В. 1 OC. ОС. — -1

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Q: dy Find using implicit differentiation, for the equation + 10 is_ dx

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Q: 5. A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is pl...

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Q: Find all solutions to the equation on the interval (0, 27) : cos (a - %3D 5m T 47 3' 3 47 57 3 3 * 2...

A: Topic:- trigonometry ratios

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A: I am attaching image so that you understand each and every step.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This question is related to sequence and series, we will solve it using given information. 

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

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Q: Verifying a Tangent Line Approximation In Exercises 9 and 10, verify the tangent line approximation ...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: y³dy Let y = 2 sin 0 %3D 4- y2

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Q: Evaluate the integral of the following transcendental functions. dy 4) S- 19- 49 y

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the first order partial derivative with respect to y of the function f (x, y) = x³y² + 3æe". 3a...

A: Differentiate given function with respect to y treat x as a constant. 

Q: Find the indefinite integral using the substitution x = 8 sin 8. (Remember to use absolute values wh...

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Q: If f(x) = 3 cot-x + 7, then find the value of f'(-7) is. 3 50 -3 50 50 V50 O O

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Q: Write an equation for the function graphed below 7.6 3 432

A: Vertical Asymptotes : x = -1 and x = 5 so,the denominator : (x + 1) and (x - 5) Horizontal Asymptote...

Q: A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole wi...

A: The given data is: A street light is at the top of a 13-foot tall pole A 6-foot tall woman walks awa...

Q: 4. y = (3x + 1)(-4x² – 3)* (23+4)5 3x-2 5. y =

A: This is a question of differentiation. Please follow the procedure given below...  As per bartleby p...

Q: Find the extreme values of the function f(x) = x3 + 9x² + 5 on the interval x E [-1,3]

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4,1). NOTE: Enter the exac...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: We will find the general term of the given sequence and then determine whether the sequence is conve...

Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: Determine the components, magnitude and direction of the following vectors: 1.) vector with initial ...

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

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Q: Differentiate the vector function. (1) Find r'(t) (2) Find r'"(t) r(t) = cos t

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Q: dy Find using implicit differentiation, for the equation a + y = 11 is, dr O O

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

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Q: A restaurant manager has the option of a 30-year loan of $411,000 at an annual interest rate of 3.95...

A: (a) principal =$411,000 time =30 years rate=3.95% interest=PRT100              =411,000×30×3.95100  ...

Q: Which of the following is NOT EQUAL to the given integral. tanx 4+x2+x4 tanx tanx dr 4+x2+x+ dx+ -2 ...

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Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

Q: 6. f(x) = Vx – 1

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Q: The table gives the required standard weight, w, in kilograms, of American soldiers, aged between 21...

A: If we make a graph of given table data then it will give a Linear graph increasing  .a. ) W increase...

Q: 23. у + ху — ху", у(0) 3D 3 y(0) = 3

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Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: Find the derivative of y = cos"+8 (x).

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Q: Sæ² – 4x + 1, x 4 Evaluate the following limits for h(x) and Justify your answer. | (i) lim h(x) = ...

A: Given :h(x)=x2-4x+1x<45-xx≥4

Q: dx Ji slx+4) 1 (r+4

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Q: When can we say that a function or a graph has extrema (both minimum and maximum value)

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Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: Using Differentials In Exercises 29 and 30, use differentials and the graph of f to approximate (a) ...

A: Find your answer below 

Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c....

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