e) Suppose that W= √√x² + y² + z², x= cos 0, y = sin 0, z = tan 0. dw T Use the chain rule to find when 0: = do 4 .

Q: The supply equation for a certain commodity is X = √3p² + 20p where x units are supplied per month…

A:

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A:

Q: 16 Let x= 3 Part A: Determine the reference angle of x.. Part B: Find the exact values of sin x, tan…

A: Use Trigonometric properties

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A:

Q: Question 2 > Find all solutions of the equation sec² X 2 = 0. π The answer is A + Bkπ where k is any…

A: Given :2. sec2x-2=0

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A: The given diffrential equation,x2+y2+1dx+xx-2ydy=0

Q: 12. Question* [ *2_4 On() + C ○ In ( x + 2) + C On (2/2) + C *+2

A: Solving the integral using method of partial fractions

Q: Determine its amplitude, period, and midline. Consider the function f(z) = 2 (cos (z − 3) + 3).…

A:

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: aduction to Calculus in Physics: ulus is a powerful tool used in all areas of physics. One of the…

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A:

Q: 9. The volume of inflated beach ball is about 2423 cm³. What is the diameter of the ball?

A:

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A: we have to find a angle between 0 to 2π that is coterminal to 1020

Q: Find all values of z satisfying the given equation. (Enter your answers as a comma-separa cos(z) =…

A:

Q: 3. Find the area of the plane region bounded above by y = 1 -|x-1| and below by the x-axis. y = 1…

A: Here we have to find the area bounded by the given regions.

Q: Determine the absolute maximum and minimum values of f(x) = x²e on x = [-5, 1].

A: See the answer below

Q: (c) Find the polar coordinates of the point P whose rectangular coordinates are (2,-6).

A:

Q: Consider the following differential equation. t In(t)- dr + r = 4te² dt dr Find the coefficient…

A:

Q: The graph below is the function f(x) 4 -5 -4 -3 -2 -1 1 2 Determine which one of the following rules…

A:

Q: Express Ln(z) in the form a + b. (Simplify your answer completely.)

A:

Q: Determine the domain and range of the function. 2+ 1 1-3 1-2

A:

Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

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A:

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: Q.5. If we have two vectors (V₁ and V₂), V₁ is a vector perpendicular on the plane passes through…

A:

Q: Q5) Find the absolute maximum and minimum values of D(x,y) = x² - xy + y² + 1 On the closed…

A: Given: D(x,y)=x2-xy+y2+1

Q: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

A:

Q: Find r(t) if r '(t) = 2t i + 4t3 j + √ t k and r(1) = i + j. r(t) =

A:

Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

Q: Example For alternative optimal solution Min 3x₁ + x₂ s.t x + 2x2 14 -x₁ + x₂ FI 22 ۱۲/ 2,9x270

A:

Q: дz (B)If Z = f(x, y), x = s² - t², y = 2st. Prove that s მა 2 (s² + t²) of af əx I t дz at II

A:

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: Q6/(A)Evalute √2² £2ª ex² dxdy.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 2x-1

A: Follow the procedure given below.

Q: dx 1. 1+x¹ et, 2. f dx e²+e~x 3. fxsec² x dx

A:

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: An open top box, with a square base is being designed. Material costs 126/cm². What is the largest…

A: According to question,Given data,Material costs = 12 cents/cm2

Q: If y cose then = dy dx ||

A:

Q: (a) Use sigma notation to write the Maclaurin series for cosлx. (b) Use sigma notation to write the…

A: Write  Taylor series first then try to rearrange

Q: 1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

A:

Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

Q: √9-x²2x √ O O√9-² % √9-2 - - Arcs + C +Arc3in Ễ+ế

A:

Q: following function show that the @f(z)=3z²+57-6 f(2)=4e²+ sinz b are analytic

A: Above question is solved.

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: This question is based on Conic sections.

Q: For j(x)=3*-¹, find j(x+h)-j(x) h 3x-1(3h) h 3x-1(3-1) h 3x-1(3+1) h ○(x-1)(3+1) h

A: Topic = Functions

Q: olve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or…

A: Here we have to us ethe feasible region for the solution of the problem.