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Q: Find the limit. NOTE: Enter the answer using round brackets. t? +7 1 lim t++0 6t2 + 7't (?, ?)

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Q: Find the polar coordinates, 0s0< 2n and rs0, of the following points given in Cartesian coordinates.…

A: A)(3,3)r=9+9r=32θ=tan-1(33)=π4tail end of (3, 3) lies in the third quadrant.The polar coordinates of…

Q: 13) wnite the crroesponding recferge equation for tue curve represenfed dy tue parametic equatias x=…

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: 9+ 5+ g(x) 8 4 7- 6- h(x) 3 5 4 3 1 5 4 5 2 3 x-values 4 2 3 x-values If f(x) = g(x) · h(x), then…

A: Solve the following

Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: The following differential equation is exact. Find the general solution. (7x + 6y) dx + (6x − 8y3)…

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Q: Calculus

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Q: Evaluate the integral | (6x + 3y)dx + (9x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

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Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: 2- -2 d)

A: We have to find out all the graph

Q: Q(t) = Q0: 2-(t/140) If the amount of polonium left after 560 days is 80 mg, what was the initial…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e10ti + e-*j K(t) =

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

Q: A restaurant has an annual demand for 884 bottles of California wine. It costs $3 to store 1 bottle…

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Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

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Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: If a company sells a product for exactly the price they are willing to sell the product for, then...

A: answer is in next step

Q: Assume lim f(x) = 14, lim g(x) = 6, and lim h(x) = 5. Compute the following limit and state the…

A: We can answer and explain the answer as below.

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x2 - х) dx х2 +x+ 1

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Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 6r² +9t + 5,…

A: Given: s(t)=t3-6t2+9t+5,t≥0 d)After breaking once the velocity of the particle becomes zero.i.e. v=0…

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0)…

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Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

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Q: QUESTION 6 Refer to the graph below. When the price of a product is P2, then the consumer surplus…

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have to find the inflection point and the concavity and convexity of the curve

Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

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Q: du for the integral dx du un dx Identify u and dx. | (5 – 6x?)5(-12x) dx u = du dx

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Q: y = sec?(x), 0s

A: Here is the solution

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

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

Q: Find the arc length L of the graph of r(t). r() = r° i + 1 j+Vor k, 3 <t<7 L = i

A: Given problem:-

Q: EX2 Compute the secand erder partial Jerivative Fx ち,ち~ and a)

A: " Since you have asked multiple  question we will solve first one for you. Please ask specify…

Q: Complete the following steps for the given function. a. Use polynomial long division to find the…

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Q: Зх+1 a) y =- 1 b) g(x)= Vx -

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Q: 291 pind the lengty of tue cerve over the ginernineval a) 1o ) so 20 e) 40 d)s 11/12

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

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

Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [- 3,4] c. Identify…

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Q: y"ーy=

A: Given problem:- Solve the following differential equation y'' -y=xe-x

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 10…

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Q: t- 36 Let g(t) = VE -6 a. Make two tables, one showing the values of g for t= 35.9, 35.99, and…

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