Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. y = t² = 2t; x = √√t, 16 t =

Q: Find the derivative of the function below. Use lower case letters. (Remember to simplify the…

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Q: Consider the curve defined by the equation xy=21. Set up an integral to find the length of curve…

A: given  xy=21formula for length of curve L=∫x1x21+(dydx)2dx

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

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given,  y = 30x - 5x2

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

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Q: f(x)dx = F(b) - F(a) and ſf(x)dx = P(x)+C. Consider the two expressions A) a and b are called the…

A: Given expression ∫abf( x )dx = F( b ) - F( a ) ∫f( x )dx = F( x ) + C

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: Q[14] (*): Find the values of the constants a and b for which cos(x) x 0 is differentiable…

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Q: How do you find these?

A: Here we have to find the extrema of the given functions.

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). u = (2, -2, 4), v = (0, 7, 4) (a) 2 (b) 24 u. V UU (c)…

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Q: The top and bottom margins of a poster are each 2 cm and the side margins are each 6 cm. If the area…

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Q: Use the graph of F"(x) to answer questions about the function F(x). The domain of F(x) is (-∞, ∞0).…

A: for concave up , f''(x)>0for concave down , f''(x)<0for inflection points , f''(x)=0

Q: Evaluate cshc -1(2) (You may enter an exact answer involving ln or rounded to four decimal places.)

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Q: = = 2.3219andlog, y = 2.8074. Given log, a Evaluate log, a

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Q: Find the area between the curves y = f(x) = x³ - 3x and y = g(x)=x√4-x² +x_ on the interval 0 ≤ x ≤…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Find the absolute maxima for the function: f(x) = 3 Enter the exact answers.

A: We have  fx=3x+sin3xx∈0,2π

Q: Use the values in the table below to answer each of the following: x h(x) g(x) h'(x) g'(x) 2 1 -5 4…

A: Note:- According to the company policy we can attempt only three subparts so upload the next part…

Q: Evaluate the integral. √x² - X 11 dx

A: Here we have to use the concept of integration

Q: f(−3)=10f(−3)=10 and g(−3)=−2g(−3)=−2 Step 1 of 4 :   Find (f+g)(−3)(f+g)(−3).

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Q: Solve the system of linear equations. 2x + 4z = -18 -4x - 2y 2z = 14 x+y=z=2 O No solution O(-2z-9,…

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Q: An open-top rectangular box is to be made from a piece of cardboard 30 inches long and 12 inches…

A: a) Let x be the length of each side of the square to be cut out from each corner. The dimensions of…

Q: d use your lecture notes. However, this is a It is HIGHLY suggested that you complete bmit this by…

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Q: Calculate the derivative indicated. d²y dx² x=3 where y = 9. 1 x 3 +3x²

A: given: y=9x3+3x2

Q: Calculate the median of the following data: 3-4 4-5 5-6 6-7 7-8 3 7 12 16 22 X 8-9 20 9-10 13 10-11…

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Q: 2) Given f(x) = ax²+bx+c has a y-intercept equal to 5, ƒ"(1)= 16, and (1,11) is a point on the…

A: f(x)=ax2+bx+cy intercept is 5f''(1)=16(1,11) is a point on the curve d dx(xn)=nxn-1

Q: State whether the following series is Convergent or Divergent. Σ (-1)" √n /n + 1 n=1 Absolutely…

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Q: A quadrilateral has vertices A(−3, 1), B(1, 8), C(6, 7), and D(5, 2). Which kind of quadrilateral is…

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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: The region R is the region in the first quadrant bounded by the curves y = x² - 4x + 4, x = 0, and x…

A: First find area under the curve y=x2-4x+4 on interval 0, 4.

Q: Compute the limit In(n²) lim n→ In (2n)

A: Given query is to find the limit.

Q: 3-mi Convert e 6 to rectangular coordinates. Write your answer in a + bi from using exact…

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Q: :dx x√In²-4

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Q: (a) Calculate the quartic (degree 4) Taylor polynomial T4(x) for f(x) = x - ln (x) with center a = 1…

A: Note:- These are multiple questions and according to law we can do maximum 1 question so i am…

Q: Given the curve Find the following at point P(1,0,0). 1. the unit tangent. 2. the unit normal. 3.…

A: Note:- According to company guideline we can do maximum 3 sub parts, so that i am solving here first…

Q: 5. The parts of this question are unrelated to each other. (a) Evaluate (3√8x + (2x + 1)²) dx. OK

A: B=∫(38x+(2x+1)2)dx  ∫xndx=xn+1n+1+c

Q: re the vectors Choose and 16 linearly independent? 4 f they are linearly dependent, find scalars…

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Q: Express log b 5 W Z as a sum and/or difference of logarithms. Which expression is correct? OA. log…

A: Given query is to expand the expression.

Q: Indicate the points at which the function shown in the graph above has a global maximum, a global…

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Q: dy d.x 2x + cos(x) zhg

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Q: 15. g(0) = sin² 0

A: Given query is to find the critical number.

Q: Express the surface area of the surface obtained by rotating the graph of y = 5 sin (x) for not…

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Q: The elasticity of demand for x = f(p) = 1,875 - p² when p = 40 is Banco de palabras: inelastic…

A: we will find the required.

Q: True or false

A: Let us consider the given statements.

Q: A company manufactures z units of one item and y units of another. The total cost in dollars, C, of…

A: Given, C=5x2+4xy+7y2+1000 ⋯⋯⋯⋯⋯⋯ 1 where, C is total cost in dollars. x units of one item. y units…

Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

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Q: Suppose the function g(x) has a domain of all real numbers except x = 8. The second derivative of…

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Q: If B = exp(r² -2), what is VxB?

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Q: For a sequence {a} satisfying Σ4" an > 0 A B C D E F A) n=1 Σ4" an B) =1 diverges. Σ6" an Σ6" an…

A: Given that , an+1an→15

Q: (11) L -8 cos(x) dx.

A: Here is the solution: