A tangent line at the point P to the parabola y=9-x², 0

Q: Find the unit tangent vector to the curve defined by (t) = (3t, -2t, √√4-12) at t = 1. T(1) = Use…

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Q: use vectors

A: First, we need to define the vectors AB and AC. We can do this by subtracting the coordinates of A…

Q: d2y d³y + 3 d² + 3 dy + y dx3 dx2 dy+y=0 dx

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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Q: Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2  at (6, 2, 9) and…

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Q: Can you explain step by step please

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Q: DATE: NO. 1. Find the equation of the line going through the given points. A(1,3,2), B(2,-1,4) 2.…

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Q: Use the figure to derive the formulas for sin COS and tan 2 sin (9) - COS tan (9) - 12 cos Ꮎ Ꮎ sin 0…

A: First, let us consider △ABC :Find its hypotenuse using the Pythagorean Theorem.AB2+BC2=AC2Substitute…

Q: Dein 96 (2) Calculate the derivative f'(x) of the following function a) f(x) & S 1-x (6) f(x) =…

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Q: How make that? k = (5²+1) JK ds = (5+1-15+0·1) ·10 (115²-185-11) (105²+115+1)²

A: Step 1: Given K=−(s2+1.1s+0.1)(s2+1)​. To Find: dsdK​ Step 2: We know that if f(x)=v(x)u(x)​, then…

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Figure 3);…

A: Normal of the plane AB makes an angle 30° with the x - axis which is taken as reference. So θ=30°If…

Q: So starting with the graph of y = ex, write the equation of the graph that results from the…

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Q: Find and classify the single critical point (as a relative maximum, relative minimum, or saddle…

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Q: Unit 01: Applied Basic Integration Part 01 Review MATH1274 1) The displacement s (in cm) of a…

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Q: Subparts- 4, 5 and letter (b).

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Q: Let (t) = (-45 +3,5e¯³t, 5 sin(5t)) Find the unit tangent vector T (t) at the point t = 0 T(0) = <

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Q: Write the following expression in the form ax + bx9, where a and b are real numbers and p and q are…

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Q: 9. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

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Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…

Q: 3. The volume of grains in a silo at a particular time (measured in hours) is given by V(t) =…

A: I hope this can help you.

Q: Find the derivative of y = = x2 22 using one of following two methods: rewrite using f(x) = en f(x)…

A: Approach to solving the question:Please see attached photos for the detailed solutions. thank you…

Q: -3 3 The figure above is the graph of the function f(t). Consider the following functions: • a(t) =…

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Q: At very high pressures, the volume of a real gas is larger than that predicted by the ideal gas law…

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Q: DATE: NO. 1. Find the equation of the plane through the line xt! 3 9-1 2-2 14 = 2 4 to the plane…

A: Solution of the given question is like as

Q: Topic polar coordinates Identify the polar coordinates for each value in the table below and use…

A: To graph the equation r = 2 + 2cos(θ) in polar coordinates, I will follow these steps:1. Identify…

Q: Let C₂ be the line segment from (-2, 5) to (3, 30). Parameterize C2 and calculate Ja F.dr.

A: Step 1: The equation of a straight line with end points (-2,5) and (3,30) is given by…

Q: Q2: Find the value of the following double integral S₁ Sy² xy² dxdy Solve the following liner system…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. Find values for the variables so that the matrices are equal. éx 2yù é4 12ù z 93 9 1 8

A: Please see the attached image for the solution.   If there are queries or if the image is not…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: Step 1: Let's write the given equation of plane [x, y, z] = [- 2, 1, 6] + s[0, 1, 1] + t[- 2, 1, 4]…

Q: QUESTION 2 Assume that f is continuous and that f(x)dx=-2. Evaluate f²x2f(x² + 1)dx. 00

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Q: Can you please find (f o g o h)(x) where f, g and h are defined, and it's in the attached picture.…

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Q: Choose the correct answer for the following. The inverse of the function f(x) = x + 1 is 1 a) f (x)…

A: Step 1: Explanation for question

Q: convert the equation x² + y² + z² ² = 1 into spherical coordinates, 4

A: In spherical coordinate system x=ρsinϕcosθx=ρsinϕsinθz=ρcosϕwhere ρ is the radial distance, ϕ is the…

Q: I keep getting the wrong answer and I am not sure where i am making the error

A: Step 1:     Step 2: Step 3: Step 4:

Q: 5. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

A: Step 1:∑n=3∞​n​cosnπ​ Step 2:first we check absolutely convergent , take mod we get…

Q: Find the solution of each inequality in the interval [0, 2). (Enter your answers using interval…

A: Approach to solving the question: Detailed explanation:for the no solution, there's no definite…

Q: Find the minimum value of f(x, y, z) = 2x² + 3y²+2z²-x+5y +Zz and -5x+4y-22=-3

A: Step 1:Step 2:Step 3: Step 4:

Q: (d) Consider the following system of linear equations: 3x+5y 2z -7 - 2x+2y-4z = = -6 2x+4y = 8 (i)…

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Q: Find the equation of the plane that contains the two parallel lines: 1-1 = 2-4 1 = y + 3 = and 2 5 x…

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Q: page and indicate clearly that the problem continues on the backside. 1(9pts) You are constructing a…

A: - Let x = length of the square bottom of the box     y = height of the sides of the box - The total…

Q: Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the…

A: The fundamental theorem of calculus says that for a function fthat is continuous on the interval…

Q: 7) Expresa el cálculo combinado que te permite hallar su área y su perímetro. 5 cm 6 cm 4 cm 12 cm…

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Q: lim 1.2 e-1-x-3x² x-0 x - sin x

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Q: Please don't provide handwritten solution ....

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Q: 2(9pts) You have 600 ft of fencing to make a pen for hogs. If you have a river on one side of your…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: To determine whether the sequence converges or diverges, and to find its limit if it converges, we…

Q: 8. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

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Q: Can you find the exponential function f(x) = Cbx. I added the graph as a picture.

A: Step 1:Solutiongiven that point (1,15)( 3,375)function is f(x)=cbxput x=1 as f(1)=15f(1)=cb1=15it…

Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…