Question 1 Approximate 3.92√3.9 without using a calculator. Use the methods learned in class. Do not evaluate 3.92 through multiplication.

Q: Select the option that gives the vector product of i-2j and j + k. Select one: O 2i+j-k O -2i+j+k ○…

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Q: Calculate lim h→0 9 + h-3 h

A: Find the limit

Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

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Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: Using laplace transforms solve for x and y: dx dy + + 5x + 3y = e-t dt dt dx dy 2 + +x+y = 3 dt dt…

A: Laplace transform of (i) Ldxdt=sX(s)-x(0),  Ldydt=sY(s)-y(0)(ii) Le-t=1s+1

Q: Given the vector function F(t) = (5t, - 3t², − 4t³ + 5) Find the velocity and acceleration vectors…

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Q: Solve the systems of equations by using the matrix inverse method. r+s+t+w=4 2r-s+w=2 3r+s-t-w=2…

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Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 3 -6 9 A =…

A: We have to find det(A)

Q: An army medic is treating soldiers after a mine blast. She needs a solution that is 50% glucose to…

A: Concept: An army medic needs a solution that is 50% glucose that is 0.5 glucose she has a solution…

Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

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Q: I. Jas dx 25+ x²

A: Given, ∫125+x2dx

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: 0 Determine which of the following are singular value decompositons for A = 3 VIS √13 1. |69| 0 3 13…

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Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: (x+3)(y-5) 16 = 1 25 (x+5) + (y -1)} = 1 5. - % 6.9x² +4y² +36x-24y+36=0 4. ²

A: Given problem:- FOR EACH OF THE FOLLOWING, FIND THE CENTER, VERTICES, FOCI AND ECCENTRICITY OF THE…

Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

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Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: Find the rate of change of the volume of a cone with a constant height of 5 m with respect to radius…

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Q: Find a plane containing the point (6,-7,7) and the line x(t) y(t) z(t) = = = - 2 - 6t - 1 + 5t 5-t

A: Here we have to find the equation of plane

Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: The exact value of sec 2√3 3 0-2 2√√3 3 c (55) ₁ is 6 02

A: Use trigonometric coordinate syste

Q: A stone is tosse long will it take

A: Please refer to the image below

Q: 3 10 [1] Restart Rock Co. determines that the marginal cost, C', of producing the xth climing…

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Q: 50lve the first order ODE UA x'sint - x Cost = -1

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Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 13. Given - 5x + 5z = a. (-5, 5, 2) 2, the normal of the plane is: b. (7, 7, 0) c. (-5, 0, 5) d.…

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Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Find the modulus and argument of (a) Z₁ = -√3+√ and (b) 2₂ = 4+ Y j Hence express Z₁ Z2 and 2₁/22 in…

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Q: A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today,…

A: We need to find time.

Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

A: Here, the given equation of the line is: x=1+3t,y=-1-2t,z=3+t Therefore, the direction vector is:…

Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: Calculate fa₁. (1 + tan² a) da

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Q: Use trig identities to integrate: sinxsec’xdx

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Q: Find the area of the shaded region. y = +3 (0,3) (2,7) A) 25/3 B) 352/3 C) 26/3 D) 22/3 2 x

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Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

Q: 00 01 O-1 02 y+0 none of the choices

A: We will solve the problem.

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

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Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

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Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: Find the volume of the solid formed by rotating the region enclosed by about the x-axis. Answer:…

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