To find the 6th binomial coefficient of the expansion of (x+ y)¹5, find the value of 15 C6 True False

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A: The solution is shown in step-2

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Q: 6 .) Suppose the growth rate of e. coli at room temperature is given by p(t) = 1.7x10-¹22⁰, where t…

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A: The integrating factor of this equation is,Therefore,putting the value of u in terms of y,Given at t…

Q: Evaluate the double integral. 2 y 116x2² +1 dA, D = {(x, y) | 0≤x≤4,0 ≤ys √x} tan-¹(4) -1(4)

A: Given double integration

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A: Given i(x)=(x^2+3x-1)/(x^4)For calculating maximum and minimum valuesWe have to calculate first…

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A: The given function is

Q: 5. Let f: R→ R, 1-cos r T² x 0, f(x) = x = 0. Find an appropriate a R such that f is continuous at…

A: Solution is given below in step 2.

Q: e graphs of f that reveal all the important aspects of the curve. Then use calculus to find the…

A: We have to find the interval of increasing and decreasing value.

Q: Given the vector-valued functions u(t)=e5t+e²t + 2tk v(t) = 4ti + t²j + 4k d find (u(t) · v(t)) when…

A: We need to find derivative of dot product at given value.

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Q: Let a = -j-5k and b = 27+3+4k. Find - 2a - 26. -2a - 26 =

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Q: Find the minimum and maximum values of the given functions in the indicated region. f(x,y)=x²-3y…

A: Function is f(x,y) =x2-3y+y3.We have to find maxima and minima in region X2 + Y2 <_ 36

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Q: Let f(x) = ax³ + bx² + cx + d. Determine the values of a, b, c, and d if f(x) has a point of…

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Q: Find the equation of the plane containing the point (-5, 5, -6) and parallel to the plane -2x- -y-4z…

A: To find the equation of a plane containing a given point and parallel to another plane, we can use…

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A: The given function

Q: The count in a bacteria culture was 800 after 15 minutes and 1400 after 35 minutes. Assuming the…

A: Given that,count of bacteria culture after 15 minutes = 800count of bacteria culture after 35…

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A: Let the dimensions of the rectangle is denoted by x and y As we know that area of the rectangle is…

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Q: Find ds dt || ds dt if s= t 4t+7

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: Find all possible functions with the given derivative. y' = 6x² - 8x O A. 2x³-4x² +C O B. 2x²2 +…

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Q: Use differentials to estimate the maximum error in the volume of a circular cone due to possible…

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Q: Consider the function f(x) = 3 - 2x² on the interval [-6,3]. Find the average or mean slope of the…

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Q: 2. Differentiate the follow x³ +4 x2 (g) y =

A: The given function is"As per the rules, we are supposed to answer the first question and other…

Q: Suppose f(-2)=0 g(-2) = 0 f'(-2) 5 g'(-2)=1 = and all functions are continuous. f(x) lim Z-2 g(x)

A: The given values are .To find the limit .

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Q: Suppose the position of an object moving in a straight line is given by s(t)=3t^2+4t+3. Find the…

A: To find the instantaneous velocity when  for the given position function , we need to find the…

Q: Integral of 3x^5 + cos^2(5x) + 2sin(x)

A: we need to find the integration of the function

Q: 20 The length L (in ft) of wire needed (considering the sag) between two poles exactly 40 ft apart…

A: The length of the wire needed is given by:-

Q: prove the given limit does not exist xy + yz²+xz² lim (x,y,z)+(0,0,0) x² + y² +z²

A: The given limit is .The objective is to prove the limit does not exits.

Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

A: Since it is a logistic model and we are given Initial population 1000carrying capacity…

Q: Are both answers in units : inches, inches^2, or Inches^3?

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Q: Find and dy dx enter DNE.) dy dx d²y dx² slope concavity d²y and find the slope and concavity (if…

A: A brief solution given in the next step

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Q: (ii)A civil engineer is designing a bridge that needs to withstand the forces of wind and traffic.…

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Q: x(t) = 5 - 6t Find the equation of a plane through the point (-5, 6, -7) and orthogonal to the line…

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Q: Use the diagram to find the following bearings. B Part 1 of 4 203 Part: 0/4ERE A 15° 42° (a) Find…

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Q: 4. Use the Fundamental Theorem of Calculus to find the derivative. G(x)= = [² (1+1²) dt

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Q: Find an equation of the tangent line to the curve at each given point. x=t²4, y = t² - 2t at (0, 0)…

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Q: 5. Consider the network of one-way roads depicted in the figure below where the numbers indicate the…

A: Solution is given below in step 2.

Q: 1 Find all points (x, y) on the graph of f(x)=x³-5x² +28x + 7 with tangent lines parallel to the…

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Q: Evaluate the integral [(3 + 2 cos t) 1 + (2 sin t))+ ( sec² t) k] dt. -x/4 The result is 1+Oj+k.…

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Q: If f(x,y)= 1 √x² + y² and (x, y) changes from (3, 4) to (3.2, 3.9), compare the values of dz and Az.…

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