Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this tangent line can be written in the form y = ma +b where m = and b

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decima Amount After 3000…

A: we have to find out the initially quantity

Q: 0/11 3 Question 1 of 11, Step 1 of 1 Correct Consider the function f(x) = -x' + 5 on the interval…

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A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

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

Q: Consider the function f(x) = 3x? + 10x – 3. f(x) has a critical point at z = A. Find the value of A:…

A: The function f(x)=-3x2+10x-3

Q: Evaluate the following integral: n(x' dæ = 因团 +C (Note, an arbitrary constant of integration has…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: 8. h(x) = (sin x )V tan²x + 1 %3D

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Q: C is the semicircular curve drawn in the ground (the xy-plane) joining the points (0, - 2), (2, 0),…

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Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

A: Let's find.

Q: Given the force fieid F, find the work required to move an object on the oriented curve. F= (y, z,…

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Q: dt F(x) = | 6+ 8t Find the interval on which the curve is concave downward.

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Q: 6. f(x) = 2x2-7x-11 Sx2 es

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Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

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Q: 51. y= 2x - 3x3

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

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Q: The population P of a bacteria culture is modeled by P = 4100e“, where t is the time in hours. If…

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Q: d 6. dx sin(t) dt

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Q: Express the equation in logarithmic form: (a) 43 64 is equivalent to log, A = B. |3D А || and В - ||…

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

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Q: Select the graph of the function. f(x)=

A: Given:

Q: Find the limit. Enter DNE if the limit does not exist. 15zy lim (2,9) → (0,0) 22+ y?

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of mold,…

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Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

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Q: Find

A: We will find the derivatives.

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Consider the function f(x) = 4 - 2x?, - 4 < x < 2. The absolute maximum value is and this occurs at…

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Q: ensider the function f(x) below. At what value(s) of r are the inflection points? Enter answer using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: Mark the critical points on the following graph. z°e-, 17 153 136 119 102 85 68 51 34 17 Clear All…

A: Here we have to mark the critical points on the given graph.

Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Correct Consider the function f(x) = 3x - 9x on the interval [-4, 6]. Find the absolute extrema for…

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Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: (a) y = x = 2, y = 0; about the line x = -2. (b) y = 7 – x², y = 3; about the x – axis.

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Q: Sind the a rea betwee h 2. メニリ and メ=9で

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Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: 2 (1 – :-) d.x

A: Solve the following

Q: Evaluate the function f(x)=- 3.7521n x at x = 4. Round to 3 decimal places. (You may use your…

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Q: f'(x) = f'(4) - L

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Q: b) Use the velocity function v(t) = 2e" to compute the distance traveled by an object over the time…

A: The detailed solution is given below  Thank you