(a) Find the length of the curve y = x4 - 16 + 1 1 ≤ x ≤2 2x2

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: sin x cos x dx. Evaluate S sin

A: e

Q: pls solve this question and write the answer in paper thank you

A: Here's the solution for the given problem.Explanation:

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A: Let the length and width of rectangle be l,bl=7 inches, b=8 inches

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 3Answer : option DQuestion 4Answer : option D none of the above Explanation:Step 1:Question…

Q: Solve 5 sin(2x) = 4 for the two smallest positive solutions A and B, with A <B

A:

Q: pls answer this three question using calculus

A: 1) (10√5 )/32) 14/93) 125/6Explanation:

Q: Let f(x, y, z) = xy + z and x = s³t, y = st², and z = st. -

A: f(x,y,z)=x4y4+z and x=s3t,y=st2, and z=st. Using the power ruleddxxn=nxn−1

Q: Given the function below f(x)=√100x³ +25 Find the equation of the tangent line to the graph of the…

A:

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: Compound interest formula: A = P(1+rt)Variable description:A: Final amountP: Principal amount…

Q: x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

A:

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A: Given marginal propensity  (in billions of dollars)

Q: d x-3 Use the Quotient Rule to evaluate and simplify dx 2x-5

A: Let f(x)=x−32x−5f′(x)=ddx(x−32x−5)Using the quotient ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: dy Calculate using implicit differentiation. dy dx dx 27x=y4

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Givne that the region is bounded by a curve  and line

Q: Fill in the blanks and evaluate the following indefinite integral. 2x dx = (x+4)2 -S dx = (x+4)2 x+4…

A:

Q: If ♂ = [m, n, 1] is perpendicular to both a = [4, 1, −2] and ỗ = [2, −3, −8], find m and m

A: Consider the vectors

Q: 2. The population of Mathville is modelled by the function P(t) = −2+3+ 54t2-40t+ 21000 where t…

A:

Q: Compute The integral problem (Calculus 2)

A:

Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

A:

Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

A:

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

A:

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The area of a circle is increasing at a constant rate of 88 square meters per second.dAdt=88 square…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: a)x-intercepts are −3,0,3.y-intercept is 0. b)The local maximum is…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: PROBLEM 11 SHOW COMPLETE SOLUTION PLEASE

A: A) 50mmB) 100.825 mmC) 15.89 .mmExplanation:Step 1:Step 2:Step 3:Step 4: 5)6)

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

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A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

Q: Find a and b such that [-1, a, 6] and [b, 8,12] are collinear

A:

Q: Consider the following list of activities with time (in months) Activity A B C D E F…

A: C) Variance of project completion time is  6.0 months2D) The probability of completing is…

Q: Question 3 Find the derivative of f(x) = √√(x+1)(x+2) (2x + 3) at x = 0 using Log- arithmic…

A: To find the derivative of  at   by  using Logarithmic differentiation.

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

A:

Q: Use the chain rule to find and, where First the pieces: శ శీరశౌర And putting it all together: x = =…

A: We need to use chain rule to find derivative.

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the orthogonal trajectories of the family of curves y6  =  k x6

A:

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: Find the Laplace transform of ƒ (t) = 3t4 - 2 cos 7t + et. 3t4-2

A: To find the Laplace transform of the following function. Note: Since you have posted multiple…

Q: Find the exact length of the curve. y = 0x312, 2x3/2 0 ≤ x ≤ 6

A:

Q: Find any vertical, horizontal, or slant asymptotes of the following functions.

A: d) x =  4 is a vertical asymptote.it has no horizontal asymptote.y = 4x+16 is a slant asymptote e) x…

Q: https://mylab.pearson.com/Student/PlayerHomework.aspx/homew 118flushed=true&c Find the linearization…

A:

Q: 1. Evaluate fxsec²xdx

A:

Q: Let y = tan(3x+5). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when x…

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Q: The world’s total consumption of natural gas was 1824 million tons oil equivalent (mtoe) in 1994.…

A: ### ConclusionHence, the natural gas reserves would have lasted for approximately 44 years under the…

Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: Determine the value(s) of 'k' so that the tanget to the function y= (x²+k) is parallel to y=x+1 when…

A: To determine the value(s) of 'k' so that the tangent to the function  is parallel to .

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide sheet…

A: Given:A trough with trapezoidal cross sections is formed by turning up the edges of a 54-inch-wide…

Q: please fully answer this four question thank you using calculus

A: AnswersC)B)C)c)Explanation:Hope it helps youplease ask if you gets any doubtplease give your…