7.

Q: Consider the following vectors. U = i + 4j3k, v = 4i- j, w = 8i + 11j - 9 k Find the scalar triple…

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Q: Consider the curves given by y = x² - 9 and y (A) Sketch the region which included finding…

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Q: If a = (5, 0, -1), find a vector b such that comp₂b = 2. b= ||

A: I have appended the formula used in the solution part of the question

Q: - dy y y² dx + 2yx dy =

A: Topic:- solution of differential equations

Q: In Exercises 135-136, list all numbers that must be excluded from the domain of each rational…

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Q: ·S I. Evaluate II. Evaluate x² +6 x³ + 3x SS₁ R dx. 1 (x + y)³ dA, where R is the rectangle [0, 2] ×…

A: Please see the below picture for detailed solution.

Q: Find all of the intervals of x on which the graph of this function is concave up. Also, state the x…

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Q: Evaluate the derivatives. Do not simplify. 4 (a) Find the 4th derivative of f(x) = √√x – 1 sin(3x) 3…

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Q: · [ (In x)sin™¹(ln x) x 23. dx

A: Given∫lnxsin-1lnxxdx

Q: Find u + v, u - v and 3u - 5v Then sketch each resultant vector u = (3, 6) v = (7,0)

A: Given data:- u=(u1, u2)=(3,6)v=(v1, v2)=(7,0) Find, u+v=?u-v=?3u-5v=?

Q: The function f(x)=2xe^x has an inflection points at x=

A: Given function, f(x)=2xex

Q: ← Find the compound amount for the deposit. Round to the nearest cent. $1,500 at 10% compounded…

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

Q: Finding the first partial derivatives of the function f(x,y) xy (x² - y²,²

A: Partial derivative of the function xyx2-y22

Q: The fractions in the equation x - 3 = 2 + 3 can be eliminated by multiplying both sides by the of…

A: Given equation is x4=2+x-33

Q: Solve the following IVP y' = e(2x - 4) y(5) = 0 O ev = x² - x - 4 2 2 ey = x² - 4x − 4 T ex = y² -…

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Q: 13. Graph the solution set of the system of inequalities: y 8x - 3 O O A. <++++++ -20 10 B. <++++++…

A: Topic- System of inequalities We are given ,y&lt;-x+8 y&gt;8x-3 in slope intercept form , y=mx+c…

Q: Use the first and second derivatives to show that the graph of y = tanh −1 x is always increasing…

A: Concept Used: Differentiation Differentiate using the chain rule, which states that:…

Q: Verifying a Solution In Exercises 5-10, verify that the function is a solution of the differential…

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Q: How do you know the signs of the derivative at each x-value? How do you know that f'(1)>f'(2)?

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Q: -1.3 6. f(x)=x² cos-¹x3 COS 43

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Q: Find a unit vector that is orthogonal to both i + j and i + k.

A: this is the question of vector  here lets assume that  a = i+j = &lt;1,1,0&gt; b = i+k =…

Q: Which of the following is not an elementary matrix? 0 0 0 A = ( ² ; 9). ³ = ( ² ) - 0 - ( 8 ) 0 B 02…

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Q: Q-2: a) Find the set of solutions of each of the linear congruence: i. x = 3 (mod 5). 5 (mod 9). ii.…

A: The solution is given below

Q: f(x)=4x7^x f′(x)= f′(−2)=

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Q: Of the following statements, circle the ones that are TRUE: (-sin x)dx = cos(74) because - sin(0) =…

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Let Use the chain rule to find f(x) = ¹. f(x) = ³√²-2x d dx _f(x)\,= ² •

A: We need to find out the derivative of the function using chain rule.

Q: Find the scalar and vector projections of b onto a. = (-1, 4, 8), b = (18, 1, 2) scalar projection…

A: The scalar projection of a vector b onto a is given by compab = a.ba The vector projection of a…

Q: 3. xy®dx + e2dy = 0

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Q: Find the inverse transform of the given function of s. F (s) A B C D E 6s - 49 s2 - 8s + 41 f f (t)…

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Q: Let Find f(x)\x= = ". y = f(x) = 31 sec x + 18 tan x 31 sec x 18 tan x d dx -f(x)\ x= 1 *

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Q: 8) Find functions f and g such that f(g(x)) = √√2x + 1.

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Q: Given the following information, determine the value of x: u = [2x, 5], v = [3x, 1 and += 7x.

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Q: Estimate the x- and y- intercepts from the graph

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Q: In Exercises 91-100, simplify using properties of exponents. 91. (725)(2-4) 92. (35)(4x³) 72r 20x2…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let C be the curve 27x −y³ = 0 between y= 0and y = 2. In each part, set up, but do not evaluate, an…

A: The given curve is 27x-y3=0.it can be rewritten as: 27x=y3y3=27xx=y327

Q: Determining a Solution In Exercises 15-22, determine whether the function is a solution of the…

A: To determine whether the function y=3 cos x, is a solution of the differential equation, y4-16y=0.

Q: Finding a Particular Solution In Exercises 37-42, verify that the general solution satisfies the…

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Q: y = CSC ²³ ( 5x ³ + 2) 3

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Q: If f(x, y) = 36 - 6x² - y², find fx(2, 3) and f, (2, 3). Illustrate with either hand drawn sketches…

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Q: Find the area of the region that is bounded above by the curve f(x) = (x+8)² and the line g(x) =…

A: Given, f(x)=(x+8)2, g(x)=-x-2

Q: (a + n ) ² − ( ₁ + n ) z

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Q: If f(x)=tan^-1(3x) find f’(x). f’(x)=___

A: f(x)= tan-1(3x) Derivative of tan-1(x) is 1/(1+x2) .

Q: Find the inverse transform of the given function of s. F (s) = -10 s2 + 25

A: Given F(s)=-10s2+25

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value…

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Q: (A – B = difference is the first term squared, . The square of a binomial 2 times the the last term…

A: ∵A-B2=A2-2AB+B2 ∴ Its means that the square of a binomial difference is the square of first term…

Q: Finding the first partial derivatives of the function z = x² - xy² + 4y5 Choose the answer NONE IS…

A: While partial differentiation, when deriving the function with respect to one variable other…

Q: 13. y4e-6x² = y' = -12xy y(0) = 4

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Q: A simplified polynomial that has two terms is called a/an .-----------------------------

A: A polynomial may have one term, two terms or many terms.A polynomial with single term is called as…

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

A: As per our guidelines we are allowed to solve only first complete question kindly repost others.…