dy Using logarithmic differentiation, find dx NOTE: Express your answer in terms of x only. dy dx = if y = 7 x-8 x +9

Q: Determine the slope of the tangent line to the curve of intersection of the surface f(x, y) x + 2y x…

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: Compute (-1AT + 2B) C, where A = (-14T +2B) C = 9 7 4 -3 7 -5 " B = -5 9 -4 6 7 3 and C= 6 3 () -3 7…

A: To find (-1AT+2B)C

Q: 2 Σ(-1)+1n? + 5 m2 + 4 n=1

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Q: Q1: Sketch the signals A. x(t) x(-1/2) A CL x(2(1+2)) x(−1+1) Ates Ades 0 2 B. 2 x(t) 0 1 x (3t),…

A: Given data:- Part A=   Part B

Q: Determine the moment of inertia of the area about the y-axis of the curve y2 = 2x, x=2, and the…

A: We can calculate by integrating.

Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

A: * We have to evaluate the definite integral ∫-12t2+7dt . * We have to identify the equation of the…

Q: Use sigma notation to write the Maclaurin's series for the function f(x): = x cosx. Show complete…

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Q: d. the expected value of a discrete random variable For numbers 9-10, refer to the probability…

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Q: 2-x x+²√√x+2-√√3x-2 c) lim-

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Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

Q: Find the general solution of the given differential equation. y’’+2y’-8y=0 topic: complex roots of…

A: Explanation of the answer is as follows

Q: Draw a diagram to illustrate point R divides line PQ such that PR=RQ and R is the midpoint of PQ,…

A: Concept: Vector: A vector is a -dimensional entity with significance and course. A vector may be…

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: sin (a) ə…

A: The simple matrix

Q: 2x²+x 2. lim x-0 5x

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Q: Find f'(x) if f(x) = = f(x) = x² 3x-2'

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Q: 16 You know that f(x) = g(x) + 6 and that * S™ ƒ f(t) dt = 27. You also know that f(4) = 4 and f(16)…

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Q: ind the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j -…

A: Given query is to find the angle between the vectors

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j…

A:

Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A: Given problem:- Initially 100 milligrams of a radioactive substance was present. After 6 hours the…

Q: Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

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Q: A population of 470 bacteria is introduced into a culture and grows in number according to the…

A: Given problem:- A population of 470 bacteria is introduced into a culture and grows in number…

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: fz = 24 - 2x - 6y, x = cos(4t), and y = esint, then dz dt is equal to O-2 sin(4t) - 6esint cost O2…

A: Differentiate wrt t

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y=2rsinė

A: this is a problem of differential. Based on the general formula and concepts we will answer the…

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: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Month       Day light hours value Let say, the function is : y = asinbx-c+d

Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three f…

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Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Q: xe5x dx (5x-1) i 51 e³z B.5 (5x-1)+c C. 5x+ E

A: We will solve the problem.

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

A: Here we have to check the convergence of given sequence

Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Solve the following definite integral problems 1. Determine the area below f(x) = 8x - 2x² and above…

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Q: Find the volume generated by revolving the given plane area about the given line using disc method.…

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Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

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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Q: Find the solution of the given initial value problem. y’’+2y’+2y=0,     y(π/4)=2, y’(π/4)=-2…

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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: 6 5 4 1 -7-6-5-4-3-2-1, 1 2 3 4 5 6 7 -3. -6 147

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Q: Let F(x) = f(x¹) and G(x) = (f(x))4. You also know that a³ = 9, f(a) = 2, f'(a) = 15, f'(aª) = 6.…

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Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

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

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Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: For the next two exercises, determi Hiverges. 3 Ž. Σ (-1)" √n + √√√n+1 n=1

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Q: Let R be the region bounded by the parabola y = 4x² and the line y = x + 2. (a) Find the area of the…

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