Find the binommal coefficient (4)

Q: 3) (2) 2 3 元16 2 " 11元 6 57元 6 3 2

A: We have to plot a given point in the graph.

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (2,315 degrees) 2. (1,…

A: 1) We know that relation between cartesian co-ordinate and polar co-ordinates, x=rcos(θ),…

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: Consider the following. 0 10 20 30 Q(t) 100 104 108.16 112.49 Is the function exponential? Yes O No…

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Q: 1) Determine the projection of a= [5, -4, 8] onto b = [3, 7, 6].

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Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: 3. A box sitting on a wagon pulled a distance of 27m by a 35N force applied at an angle of 40° to…

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Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Find Value of integral ) dx X+1

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

Q: What is the solution of 5 |x - 2|dx

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Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

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Q: () 2 1- (x+6) (x+2) 2

A: The given integral is:…

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

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Q: Subject: Integral Calculus

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Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…

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Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,∞)

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Q: If zs² + yt²= 1 and 2²s+y³t = ry - 4, find 0x/0s, az/at, Əy/08, Əy/ot, at (x, y, s. t) = (1, -3,2,…

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Q: Evaluate f , rydyda Select one: a. 3 b. 1 C. 2 d. o

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Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

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

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) Vfl (2,-1,-2)=(₁+j+k (Type integers or simplified…

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Q: Suppose F(x, y) = xyi + (x −y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0). (a)…

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Q: For each graph, choose the function that best describes it. (a) (b) (Choose one) (Choose one) (C)…

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Q: f I. Evaluate tan 2x dx

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Q: Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x4 + 5x³ − 3x² − 15x – 9.

A: We have to find out the zeros

Q: 3t4 - 6t+ 3et Let f(t) = Then f'(t) =

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Q: 2. Show that the function g defined by VVT y² + √² 2, is not continuous at (0,0). (z,y) = (0,0)…

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Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: 3. A spherical balloon is inflated at a rate of 100 cm3 /sec. How fast is the radius changing when…

A: We know that volume of the balloon is V=43πr3                          (1) Given that Spherical…

Q: 9. Determine the position of the centroid of a sheet of metal formed by the curve y = 4x - x² which…

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Q: Find a power series representation for the function and determine the interval of convergence. (Give…

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Q: 3. h(x) == 4. p(x) = 5. f(x) = ਜ 2- x+3 (6x+5)(2x-1) (3x+5)

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Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: Solve the system of differential equations. = - X1 6x1 + 2x2 X2' - 2x1 - 10x2 2, x₂(0) - 22 = x1 (0)…

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Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

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Q: Given: f(x) = 10-X Find and simplity (fof)

A: We have to find the composite function.

Q: 4 -3 -2 -1 5 4+ 3 2 1 -1- ea -3- 4+ -5- 3 4 domain range = =

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Q: 6. If fand g are two differentiable functions at x, then 7. The derivative of the identity function…

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Q: 9. Consider the region in Figure A. Its area may be found using flf(x) - g(x)]dx. The function g(x)…

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Q: Evaluate the integral: fe²* coshada Select one: a. ++C Ob. +C O c. 2¹+C -+0 Ⓒd.+²+C

A: Simplify it .. ∫ex(e2x/2 + 1/2)dx  ∫e3x/2 + ex/2dx e3x/6 + ex/2 + c  Option A is right.

Q: - contains 7 light bulbs of which 4 are defective, and box B contains 6 light bu ght bulbs are…

A: Please refer to the image below

Q: If xs2 + yt2 = 1 and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t, at (x, y, s, t) = (1, −3,…

A: We have to find the values of partial derivatives.

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: First we rewrite the profit function in terms of t.Then differentiate p(t) with respect to t.

Q: Water is leaking out of an inverted conical tank at a rate of 10300 cubic centimeters per min at the…

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Q: Evaluate the integral da Select one: a. +C O b. о с. O d. - Inz - -/+C 2x inz -/+C - 2in1+²+C N 4

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Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: 1. Evaluate the given integral Q. Q = $₁² [² (2² Your answer (x² - y) dy dx

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: 1. Evaluate the given integral Q. ² = £ Q L² L² (²x - 3) (x - y) dx dy

A: Let I=∫01∫y2yx-ydxdyI=∫01I2dyHere we…

Q: Find the derivative of 4Inloge*

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