dw For the given functions, (a) express as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate dt dw w=7ye* - Inz, x= In (²+1).y=tan ¹1, z=e5l;t=1 (a) (b) dt t=1 (Type an exact answer, using a as needed.) dw at the given value of L Quest

Q: 2. Evaluate: √²³ √ 2 - x + x dr

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Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

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A: Topic:-  application of derivatives

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A:

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Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

A:

Q: 32 Remove parentheses and simplify: [4(x + 3) - 4x] -4(x + 3) 4x A O -2x BO 2co -4x-Da

A: Let's simplify.

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A:

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 4 x = 9…

A: Topic = Derivative

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A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

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A: Here we have I=∫01dxx

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A: z=x-yx+y differentiate partially with respect to x

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A: We have to find derivative

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A:

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Q: d dx tan x = sec² x

A:

Q: 26. In how many ways can up to 4 students be selected from 6 girls and 5 boys if each selection must…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim xcosx sin²x 2 x-o

A:

Q: Given the graph of y = f(x), sketch the graph of y=√√f(x).

A: We have to make graph of f(x).

Q: 2. Two vectors, and b are placed tail to tail and have magnitudes of 2 and 5 respectively. There is…

A:

Q: Differentiate the function and express the final answer in factored form.  f(x) = (2x^3 +…

A: f(x) = (2x3 + 7)100 (3x2 - 8)50 f'(x) = 100*6x2(2x3 + 7)99(3x2 - 8)50 + 50*6x(3x2 - 8)49(2x3 + 7)100…

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A:

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A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

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Q: 1 Lim x→0* x0x 1 sin x

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Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: 7.Find of xy of z = 2x³-5xy²

A: To find ∂2z∂x∂y for the given function z=2x3-5xy2

Q: 2. The Minimum point of y= 320

A:

Q: flog(x) dx

A:

Q: Ifv= (x² + y² +2²)−¹, then 320 + + is 8²v 8² Əy² 822 1 -1 -1/2 Other:

A: Given that     v = (x2+y2+z2)-1/2

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A: We have to find out the solution existence

Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 9 The curve…

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Q: 2² - 25 lim 15 x²8x + 15

A:

Q: 18 The value of f (3), for the following function f (x)=√√2x-2 14 A C There is no real solution BC…

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A:

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A:

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k,…

A: Given problem:-

Q: Homework: MML 1.1 T Line Find the slope and the y-intercept of th y=6-2x Select the correct choice…

A: Given query is to find the slope and y intercept of the line.

Q: 3-4 cm (5x + ²) cos Consider the following function: Reminders: Give exact values for all questions.…

A: We know that, General form of the Cosine Function is: y = a cos(bx + c)  where: a is the amplitude…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…