Find T-4 2-4

Q: Find the equation of the tangent line to 7x² -5xy + y² = 3 at the point ts)

A: Need to find out the equation of the tangent line.

Q: What is the equation of the tangent plane to the surface ƒ(1, y) = y²e²−² + z²y at the point (2,−1)…

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Q: QUESTION 15 Interpret the divergence of F(X,Y,Z) = (x2y.yz², zx²) at a point (1.-5,1).

A: The given vector is:F(x,y,z)→=x2y, yz2, zx2

Q: 8 k=1 √k 1+k²

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: Graph of derivative function f'(x) for a function f(x) does not exist at x=c iff f(x) is not…

Q: csc 2x lim *+0 csc 3x O O O O 23 N|C I N|W 3 2 23

A: Topic - limits We are given, limx→0-csc 2xcsc 3xwe know thatlimx→0sin xx=1anscsc x =1sin x

Q: 10. A house purchased for $430,000 appreciates at a constant rate of 8% each year (i.e, annual…

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Q: Solve for the general solution of the given DE: O Inlx| + xy = C O Inlyl + xy = C O Inlyl + x^-1…

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Q: 00)Let j(x) = x³ + 5x² +81x + 405. It is known that x = -5 is one of the zeros of j(x). Read each…

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Q: 1≤ 0≤36 arcsin (~1²3/2)

A: The objective of the question is evaluate the value.

Q: Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and…

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Q: 9. We know that 1 ² = n(n+1)(2n+1). Use it to determine the following 26 Σ₁² i=6

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Q: gx² 2ucos²8 y = xtane +Yo If 6'3"Stephen Curry is at the free throw line (that is 4 feet from the…

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Q: Let i=√√-1, Find the determinant for the matrix 2 3-i 4-i 3+1 -2 2+i in the form a + ib and find the…

A: Follow the procedure given below.

Q: Which one of the following graphs fits the descriptions given about an open interval containing…

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Q: 1. Write down the derivative of (a) y = ex (b) y = e-342x (c) y = 2e + 4e* (d) y = 10e - 2x² + 7

A: a) Given y=e6xDifferentiate w.r.t.'x'dydx=ddxe6xWe know…

Q: 8 5k Σ k² 4k+1 k=1

A: By using the root test to analyze whether the given series converges or diverges. If the root test…

Q: (e) cos(2x); (f) cos(x/2)

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Q: Evaluate the definite integral. π/2 9 cos(x) sin(sin(x)) dx

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Q: nx + 2y = xy+1 (n is a constant) dx Answer: Cx2 y + xyn - 1 = .0.

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x³ - 12x + 9

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Q: The integral in this exercise converges. Evaluate the integral without using a 00 Ĵ -∞ S -8 2x dx 6…

A: Given query is to find the value of the integral.

Q: Let k(x) = (x + 2)²-5. Find the average rate of change of k(x) between x = -3 and x = 6.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Differentiate a) b) x³+4x²+2x-3 2x³−4 x²+3 x³−2 x²+1

A: We know that differentiation power rule is : Differentiate of d(xn)/dx = nxn-1.   Here i attached…

Q: Finding the intercepts, asymptotes, domain, and range from the... OF BOASADRO Shom all asymptotes…

A: Given query is to find characteristics of the function.

Q: Evaluate lim (1 + cos x) sec. Identify the indeterminate form of the given x+1 expression.

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Q: For what value of a is the following function continuous at every x? f(x) = a x+6a, x≥2 20, X<2

A: Given continuous function f(x)=a2x+6ax≥220x&lt;2

Q: 2. Casey cut an 8-foot board into three sections. Two of the pieces each have length n feet. Write…

A: We can find the length of the third piece.

Q: Find the general solution of the given differential equation: Oy Inic(1+x) = 1 Oy Injc(1-x) = 1 O…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Determine whether the series Σ (3) n=0 n is convergent or divergent, and if convergent, find its…

A: need to find out that the series is convergent, or Divergent and also need to find its sum

Q: Find the absolute maximum and absolute minimum values of the function on the interval [-2 31 ƒ(x) =…

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Q: Find the values of a and b that make f continuous everywhere. a = II f(x) = x² - 4 X-2 ax² 4x = a +…

A: Given function:- fx=x2-4x-2if x&lt;2ax2-bx+3if 2≤x&lt;34x-a+bif x≥3

Q: Determine if the sequence {an} converges, and if it does, find its limit when an = 6n + (-1)" 3n+5…

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Q: Find dy by implicit differentiation. x³5xy = 29

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Solve for the general solution: x^(-4)= k(y^2+ x^2) x^4-k(y^2+ x^2) x^8-k(y^4 + x^4) O x^(-8)=k(y^4+…

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Q: x²-x-6 x² + 4x+4 x +5 +6 + 6-2x a) Factor and determine the non-permissible values of x. 2. Consider…

A: Solve the quadratic equations to find the roots.

Q: Solve letter b. Intergal 5x/x^2-3x+2dx

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Q: dA dx Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t.…

A: Given query is to differentiate with respect to t.

Q: How many 3-letter code words can be formed from the letters R, V, O, M if letters can be repeated?…

A: Given letters:- R,V,O,M

Q: Define f(3) in a way that extends f(s) = S = 3. f(3) = 3 S-27 2 S-9 to be continuous at (Type an…

A: Given query is to find the value for the function at indicated point.

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Exponential growth model : The general form of growth function is y = kbx

Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

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Q: What is the range of the function f(x) = 2 - 3x if the domain is x ≥ 0? (A) f(x) ≥ 0 (B) f(x) ER…

A: To find the range of the given function.

Q: 2. Find the solution of the IVP 4x²y" + 17y=0, x > 0, 3(0) = -1, 3/(0) = -1/

A: The given equation is; 4x2y''+17y=0, y(0)=-1, y'(0)=-1/2.

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

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Q: maximize the revenue, how many dresses should be made and sold each week? ( hint r(x) =p(x). Round…

A: Given query is to find the value do x which maximize the revenue.

Q: Sin (x-7/2₂

A: Sol we have trigonometry function