QUESTION 12 dz State the multi-variable chain rule for if ди z=z(t. s, w), t=t(u, v), s=s(u, v), w=w (u, v) Solved O Skipped

Q: Use the given series to find the Maclaurin series of the function f(x). f(x)=x²cos3x Use the series:…

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Q: Use any method to find the Area of domain bounded by curve parametrized by X = cos³t₁ Y = sin³t, 0≤…

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Q: - x2 x² - 2x - 1 (x − 1)²(x² + 1) da

A: Given problem:-

Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: Use the formula k(t) k(t) = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t³j to find k(t).

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Q: 3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

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Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: The height above the ground (in meters) of a person on a Ferris wheel as a function of the angle…

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Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: y = 1- cos 0 1+ cos 0 3

A: Solution of given question is written in below steps.

Q: COS X 6. y = x What is the appropriate formula? dx Solution:

A: Given query is to find the derivative of the expression.

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: 18. In each part, evaluate the integral, given that f(x) = (2x, x≤1 x>1 2, (a) forex f(x) dx (b)…

A: 18.fx=2x,x≤12,x>1

Q: Using trigonometric substitution, Find the new limits of integration. (A) None of the choices B 2 6…

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Q: Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not…

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Q: Let m(x) be the slope of the tangent line to the curve y = 2x³-6x² + 3x at the point (x, y). Find…

A: Given: y=2x3-6x2+3x

Q: Consider the curve C with parametric equations given below, defined for t ∈ R. (a) Determine the…

A: We use the properties of parametric curve

Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

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Q: \1/2 2. y = (2 tan² 20-1)

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Q: ✓ Find the arc length of this portion of the curve. Round your answer to two decimal places. L =…

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Q: Consider a triangle ABC like the one below. Suppose that A= 116°, C=36°, and a = 19. (The figure is…

A: A triangle ABC has A=116°, C=36°, and a=19

Q: At the end of each month, for 24 months, $200 is put into an account paying 9% annual interest…

A: Solution of given question is written in below steps.

Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…

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Q: du (u² + a²)² √

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Q: If f(x) = sinx and g(x) = cosx, then what is the relation between g'(x) and f""(x)?

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Q: csc(x) cot(x) 2-csc(x) a. b. In(2-csc(x)) + C O c. -2 In(2-csc(x)) + C O d. In(2-csc(x)) + C dx…

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Q: The function given is the population change per year of bald eagles in America P'(t) = 0.21t²…

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Q: 1 - √xdx

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Q: Determine whether the improper integral diverges or converges. Sº cos(10x) dx converges O diverges…

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Q: 4. r(x) = 3x) (1 - x)(-/-)

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Q: Problem 4. If A is a skew symmetric nxn matrix such that n is an odd number, evaluate det(A).

A: This question is related to Matrices and determinants , we will solve it using given information.

Q: v+4 dv v-2

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Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector < -1, 2…

Q: v. lim g(x) = 24-1 vi. lim g(x)=[ 2--1 vii. lim g(x) = = 2-1 viii. g(-1) = Preview Preview Preview…

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Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

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Q: Show that if x is an integer, then gcd (x+1, x^2 -x +1) divides 3. Use this result to find knowing…

A: Solving

Q: The following symbol represents the derivative of a function EXCEPT one. Select the correct…

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Q: C. ¡(4eª + x¹/³)dx

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Q: 10. x*(lnx + 1)8** dx

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Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

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Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

Q: Determine whether the sequence a₁ = find the limit. Show All Your Work! 1+9n² 1+n² converges or…

A: Given  find limit