The vectors a and bare unit vectors such that a a+b and 2a +jb are perpendicular. --Determine the value of j such that the vectors

Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

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Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

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Q: 1. Given the function F(x)= 3x-7, x < 4 (x² - 2x, x ≥ 4 I. lim F(x) exists. X-4 (mumixat endorf a)…

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A: Concept: When the two vectors are in the same direction the value  λ is positive When the two…

Q: The definite integral is equal to Select one: 0 0 O 2 [² ¹ 2xdx +f₁²2xdx none of the others 4 ¹ 2xdx…

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Q: Graph the function. m (x) = -3 X for -3 <x<-2 for -2<x<2 -x²+4 for x ≥ 2

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Q: Refer to the functions fand g and evaluate the function for the given value of x. Select "Undefined"…

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Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

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Q: ANI (2k + 1)!

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Q: 21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

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Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

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Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

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Q: If it cost $10 to fill a gas tank in 1990, how much would it have cost to fill the same tank in…

A: Here we will calculate the price in 2000,

Q: 2. Application of Double-angle Formula (a) sec 8= 12, QIV, find sin 20, cos 20 and tan 20 (b)…

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Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

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Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

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Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Since, you have posted question with multiparts. As per guidelines, we"ll solve only first three…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Consider the following function. g(x, y, z) = In(15 - x² - y² - z²) (a) Evaluate g(2, -1, 3). (b)…

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: Most observers object to the pay gap when top CEO pay is tied to performance. a) True ) b) False

A: Given statement is - most observers object to the pay gap when top CEO pay is tied to performance

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A: Here we have to choose the correct option.

Q: Im seeking help for the bullet point that begins with 'Compare the two estimates dy...'. Thank yo

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Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: 1. An object starts from rest at point P(1, 2, 0) and moves with an acceleration of a(t) = 3 + 2k.…

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Q: Take away 7 sets of 8 from 9 tens

A: Concept: Subtraction: The act of subtracting one number from another is called subtraction. The way…

Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

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Q: Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: Here is the solution:

Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: Given the functions: f(x) = x³ - 2x g(x) = √2x h(x)=2x-1 Evaluate the function (gof)(x) for x = -3.…

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Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

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Q: Show that the polynomial interpolating the following data has degree 3. 비 f(x) 1 4 11 16 13 X -2 0 1…

A: using the dummy equation ax3+bx2+cx+d =0 and finding the value of a,b,c,d.

Q: 1. The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5…

A: To find the value of 'n' variables we need 'n' number of equations.In this question we have to find…

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: 1. A line passes through the points A (7,-4) & B (-5, -2). Find a vector equation of the line. [x.y]…

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Q: True or False: We have Select one: O True O False 0 8 √√xdx = 12.

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Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: UPVOTE WILL BE GIVEN! ANSWER CORRECTLY, DETAILED AND CLEAR. People are searching a wooded area for…

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