The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: 6. lim x-3 x2+4x+3 x+3

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y-² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

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

Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

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Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: (b) Given that s² + 16 A B Cs + D || + + (s 1) (s + 3) (s² + 4) (s-1) (s+ 3) (s² + 4) Evaluate the…

A: Given :s2+16(s-1)(s+3)s2+4=As-1+Bs+3+Cs+Ds2+4

Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: Given query is to find the second derivative.

Q: Find the limit by interpreting the expression as an appropriate derivative. e2x 1 lim- = i x→0 X

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Q: -uppose that f(x) = (3x + 3) ³. A) Find an equation for the tangent line to the graph of fat x = 1.…

A: We have to find the value of x

Q: Assume that x and y are both differentiable functions of t and are related by the equation y =…

A: Given :y=cos4xdxdt=-3 when x=π8

Q: x²-3x-10 x 5 x²-8x+15 9. lim

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Q: Integrals question! Find the total area enclosed by the curve f(x)=x3 -4x and the x-axis, between…

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Q: Consider the following vectors á = 2ī+3j and b = -2ī+ 3k and c = −3ī + k

A: topic- projection of one vector on another

Q: b. |ā + (bx c)|

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Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: A) e-2 Β) e2 Σε e=2n =? 71=0 C) CADEMI Ε)

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 23 12₂₁ +1…

A: Here is the solution

Q: Which of the following gives the volume of the solid obtained by rotating the region R about the…

A: We know that the area of the curve y=f(x) , the X axis and the lines x=a ,x=b is revolving about the…

Q: What is the formula for the total distance traveled by an object with a velocity v(t) = O - ¹ sin…

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Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

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Q: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

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Q: Matrices A and B below are row equivalent. For each of the concepts following, choose (check) one…

A: See the answer below

Q: ate the following integral using polar coordinates 17 'yx² (x² + y²j2dxdy

A: Above question is solved.

Q: Consider the region S shown in the figure below and take note of the following points of…

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Q: Name the quadrant in which the angle 0 lies sin 0>0, cos 0 >0 The angle 0 lies in which quadrant?

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Q: Use the Laplace transform to solve the given initial-value problem. y'' − y' = et cos t,    y(0) =…

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Q: Let g(x) = 2 f(u) + 3 where . u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f'…

A: Given that, the function is gx=2·fu+3 and u=x2+2x. By the chain rule formula ddtFut=F'ut·u't.

Q: An integral expression for the area of the surface generated by rotating the curve y=√x, 0≤x≤ 1…

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Q: For y=f(x)=x²-2x+7, find dy and Ay, given x=4 and Ax= -0.2. dy=(Type (Type an integer or a decimal.)

A: Use formula and put value

Q: +7+ 3xf x for x ≥ 1, where x is the number of rackets produced per hour. For a company that…

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Q: Using horizontal strips, which of the following gives the area of the region R bounded by y=2+x-x²,…

A: Explanation of the answer is as follows

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A: The given integral is: I=∫x2+2x+1x2+12dx   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And…

Q: A load W = 400 lb. is attached to the beam. The tension force, T., in the cable is given by: T=…

A: MATLAB code: % Defining the constants W = 500; % (in lb) L = 120; % (in inch) h = 50; % (in inch) 1…

Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: 2. Which of the following is correct in solving [2.xv 2x√√/2+x dx? (a) Substitution technique can be…

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Q: 21. Find the solution of the given initial value problem. y’’+y’+1.25y=0,     y(0)=3, y’(0)=1…

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: Show that the solution y(t) of the initial value problem has the Laplace Transform y" + 2y' - 3y = 6…

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Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

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Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: Match each equation with the graph of f, g, h, or k in the figure. (A) y = 6* (B) y = (0.6)* (C) y =…

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