Find the slope of the function f(x)=√1-2x at the point (-4, 3) using first principles.

Q: 1 = [₁² ( ² + ¹ ) dz ₁ Estimate I = dx using n = 4 subintervals and

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Q: You plan to build a cylindrical container with no top. The material used for the lateral sides costs…

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Q: Use Taylor series expansion of an appropriate function to prove the following equalities: (a) (b)…

A: The solution is shown below-

Q: ind the relative extreme points of the function, if they exist. Then sketch a graph of the function.…

A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

Q: Evaluate the triple integral. 4x² dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1,…

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Q: Compute the determinant of B [400 9501 3 2 28 800 101

A: The matrix is given by B = 40041056322880010 To determine: The value of determinant of the matrix.

Q: Find the most general antiderivative. (Use C for the constant of integration. Remember to use…

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Q: Find the volumes of the solids whose bases are bounded by the circle x² + y² = 25, with the…

A: We have to find the volumes of the solids whose bases are bounded by the circle x²+ y² 25, with the…

Q: Use an iterated integral in polar coordinates in the order SSR dordr to find the area of the right…

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

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Q: Find the area of the shaded region. 2- L -24 y=x-2 + 2 3 4 square units y=√x X i

A: Topic = Area

Q: integral. Sketch the solid whose volume is given by the integral below, and evaluate the TL "4 2π…

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Q: find f"(x) (secard, dermative) → Xx+135 using quotient rule.role the 2

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Q: DISTANCE (metres) 8 20 Charlie because 0 2 4 6 8 10 LA A Albert Bob Charlie 12 TIME (seconds) 14 How…

A: We have given a graph with three racers. We have to find who won the race and average speed of…

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: Here the given integral is ∫xx2+62dx  To evaluate the integral.

Q: Find y' and y". y = ( ² + √x) ³ 3

A: The given function y=2+x3. We have to find the derivatives y' and y''.

Q: Set up, but do not evaluate, integral expressions for the mass, the center of mass, and the moment…

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Q: Estimate I = I≈ 21 L ܗ ܢ (-3x - 10x²) dx using midpoints and n = 3 subintervals.

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: If g(x) = 시일이었 2 +6 find lim q(x). x→0+

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Q: Let f(x,y)= x-2y² Then

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Q: Consider the infinite series true? A (В C 1+ n=1 1 47² n=1 The integral test can be used to verify…

A: Given:  The infinite series: ∑n=1∞ 1n2. The integral test can be used to verify the convergence of…

Q: (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least…

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Q: Use Newton's method to estimate the two zeros of the following function. Start with Xo = 1 for the…

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Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

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Q: Q1:What is the limit of Riemann Sums as the number of rectangles (N) increases toward infinity?

A: Solution: As the number of rectangles (N) in a Riemann sum increases toward infinity, the…

Q: A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x, as shown…

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Given x + y + z = 2 and Po(0,2,0), find the following. (a) Find the equation for the tangent plane…

A: x+y+z=2

Q: Graph the system of inequalities. x≤2 y≥3-3x Use the graphing tool to graph the system of…

A: x≤2 line x=2     y≥3-3x draw line y=3-3x x y 0 3 1 0 check for orgin y≥3-3x0≥3-3(0)0≥3…

Q: he probability that the weather will be sunny tomorrow is 0.73. What is the probabilitv that the…

A: We have given that        probability sunny tomorrow is = 0.73        then  find the probability not…

Q: Jump to level 1 Order the functions by growth rate. a(x) = ln(x) + ln(x) c(x) = 55x +55x³ Select…

A: Given   Order the functions by growth rate. a(x)=ln x+ ln x b(x) = log₂(x) + 65x! c(x)= 55x + 55x3…

Q: 21- 2 SOS (8 (√8-1²-√r² ) rdrdo

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Q: Question 1 (1 point) If p = [5,-3] and q.= [1,4], find | p - 5q| a) 529 b) 23 c) [4,-27] - d)…

A: We can solve it as follows.

Q: . One model used in medicine is that the rate of growth of a tumor is proportional to the size of…

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Q: Find the unit vector that is parallel to the vector A= (-2,4,3) and B= (1,6,-4)

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -8,…

A: We have to find the value of h'(1).

Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

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Q: Find the area of the shaded region. y=0 square units y 9|2 9|2 y=x√√9-x² y=0 3 - X

A: Area

Q: Find the area of the shaded region. y 15 10 5 2 y=7x-x² y = 2x 4 (5, 10) 6 Co 8 X

A: Area between the two curves f(x) and g(x) can be calculated using theformula:Area=∫abf(x)-g(x)dx

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t²-6√t,…

A: v(t) = t2 - 6√t and s(4) = 8  We have to find s(t)

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

A: find values at function

Q: Use the graph of the function f(x) above to complete the following f(1) is OA. Positive OB. Zero OC.…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = -5xy-y², Po(7₁-7), A=2i+3j

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Q: ! Let f(x,y)=e+√4-xy+xcos(xy). Then This option This option 52 of (0,1)=

A: f(x,y)= e^(xy) +√(4-xy) + xcos(xy) find out partial derivatives of function f with respect to x at…

Q: 2. Given that L: 4x-5y = 15, (a) Find the y-intercept of the line L. (b) Find the slope of the line…

A: part (a) and (b) is shown.

Q: 29-32 Find the values of p 1 29. X -2 n(In n)P 31. Σn(1 + n²)P n=1

A: Please see the below picture for detailed solution.

Q: Use this data to sketch a smooth curve relating the two variables. 2) Draw rectangles on the graph…

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