Find the minimum and maximum values of the function subject to the given constraint f(x, y) = 16x² + 4y², 4x+16y= 1 Enter DNE if such a value does not exist. fmin fmax B

Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: between the curve of the function f(x) = 2x and the x-axis over the interval [-3, 3].

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Q: Find the derivative of the function. f(x) = 5x²ln 3x

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Q: Rewrite each summation using the sigma notation. Do not evaluate the sums. a) 3+ 4+ 5+ . . . +93 +94…

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Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

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Q: An object is moving with velocity v(t) = 6t+ 6 in m/sec. Find the distance traveled by the object…

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Q: Given f(x, y) fzz(x, y) = fzy(x, y) = – x³ − 3xy¹ + 3y5, find

A: f(x,y)=-x3-3xy4+3y5for  fx(x,y)  assume y=constant and diffrentiate with respect to x of…

Q: Find the indicated partial derivative: Y Ə dy y + 2x = [

A: Given query is to find the partial derivative.

Q: Find the equation for the inverse of f(x) = 6x - 8. A F¹(x) = = +8 B) f¹(x) = x+8 Ⓒf¹(x)= x-8 6 D…

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Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: The given curve is: x2=cy2

Q: The number of people P that are contracting a new disease can be modeled by the population virus…

A: To determine the rate at which the disease is spreading

Q: and and simplify the expression and yd Booze (Cos+isin)³ ress the answer in standard form, a + bi.

A: Given query is to find the a+ib form.

Q: 3 (cos (4) + 4 sin (4) 3 3 z=3

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Q: Question Determine a definite integral that represents the area of the region enclosed by one petal…

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Q: Find the area of the shaded region y = x(x-4)² y = x

A: The region is bounded by the curves y=xx-42 and y=x. We have to find the area of the shaded region.

Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: For the sequence an its first term is its second term is its third term is its fourth term is (-1)"7…

A: an=(-1)n7n2for first term put n=1

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: Consider the matrices A = B = 2 3 (²7¹) and (-18 -1), ₁ 3 (₁1).If A - zB = Select one: O a. 5 O b. 4…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (0,1,2) S…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The point of intersection between these two lines 2x + y = 4 x + 3y = 7  is  ....

A: Given the equations are  2x+y = 4 ......... (1)  X+3y = 7 ...........(2) Multiply the equation (2) *…

Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

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Q: Let A be a 2 x 2 square matrix such that 2 ^ (₁)-(₂), and 4 (²)-(3) A A 2 det(A). Hint: find the…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: log3x18 3/ = = √3²) 2 - Blog (y) 1083 = A log3 x + Blog y then a + log₂ (2182) log2 (x) X syntax

A: Given query is to find the value of A and B.

Q: Two ships leave a harbor at the same time, traveling on courses that have an angle of 140° between…

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Q: Suppose a moving object in space has its velocity given by (t) = . Find fr(t)dt (don't include the…

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Q: Determine x - 3 x 3 √√x+1-2 lim 1. limit = 2 2. limit 2 3. limit = 4 4. limit doesn't exist 5. limit…

A: Find the limit using L hospital rule

Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

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Q: f(x)=x-lnx

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Q: Given the price-demand and price-supply equations below, determine the equilibrium price.…

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Q: Find the average value of the function f(x)=xex? over the interval [0.2]

A: f(x)=xex2  on 0,2formula for average value is favg.=1b-a∫abf(x)dx∫exdx=ex+c

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y B) Write the equation for the tangent…

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Q: -2 0 1 O: 2 Find the absolute maximum of f(x)=√√4x2² on [-2, 2].

A: Here we have to choose the correct option.

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx =) Write the equation for the…

A: C) Given: x2y+y2x=6 we know that a tangent is horizontal at a point if slope of the tangent at that…

Q: A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top…

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Q: 2) Find the following: a) f(x, y) = x³y + exy², find i) fxy and ii). b) Suppose that w = Əw Əw find…

A: As per guidelines,  I can answer one question and maximum three subparts of a question.  Since you…

Q: How do you measure distance along a smooth curve in space from a preselected base point? Give an…

A: To find: measure distance along a smooth curve in space from a preselected base point

Q: Find the x-coordinate of the point on the graph of f, between points P and Q, at which the line…

A: Let (x,y) be the point at which the tangent to f(x) is parallel to line PQ.

Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

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Q: home owner installs a solar heating system, which is expected to generate savings at the rate of…

A: Given query is to find the formula for total savings in t year.

Q: If f(x) = (3x+1ifx -1 A B f(2)=7 f(-1) = -3 f(2)=-9 f(-1) = -3 f(2)= -9 ; find f(2) and f(-1)

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Q: Answe

A: We have to determine the definite integral such that represent the area according to the given…

Q: Find the curve in the xy-plane that passes through the point (4,6) and whose slope at each point is…

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Q: Suppose that a particle moves along a straight line with a velocity v(t) = 4 - 2t, where t is in the…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: Find lim_ (x+3)² x→-5

A: Given: limx→-5x+32

Q: Let f(x) be defined such that f(2)= 3 and f'(x) = cos(- = cos(+ +x), where 1<x< 4. Part A: Find the…

A: Given: The function fx is defined such that f2=3 and f'x=cos1x2+x, where 1&lt;x&lt;4. Part A: Using…

Q: Find the Taylor series, centered at c = 3, for the function 1 1 - x² f(x) = (-1)^(4n-3) 8hn! The…

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Q: Complete the parametric equations for the given rectangular equation. (a) Rectangular equation: (b)…

A: NOTE: Refresh your page if you can't see any equations. . the cartesian equation is…