e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

Q: xp h+Z² S Select one: a. Ob. c. Od. In x² +4 + c In 2+2+c ln +4+c In 2+2+c

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Q: 16+29

A: Given :16+29

Q: Find the binomion coefpicient (7)

A: follw the procedure given below.

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: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 04 02 O 2T O K|N…

A: For the equation  y=A sinBx+C+D   A-  Amplitude   B- Frequency   C- Horizontal shift   D-  Vertical…

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: Find binomial coefficient (3)

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Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: From 7 consonants and 5 vowels, how many words can be formed consisting of different consonants and…

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Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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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: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: 4. Determine whether the following statements are True or False? y = f(x)

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Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

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: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

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Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: 2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but…

A: As per bartleby guidelines we only give first three question answers.

Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3/7) at the point…

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Q: Refer to the given figure, if ABCD and m/2 = m25= 70°, complete the table by finding the measures of…

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Q: A company has a security system that uses digits from 1 to 6. a) How many 3-digit security codes are…

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

A:

Q: dy dx X2 (1+y2)

A: Let's solve given diffrential equation.

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We need to find critical point and graph.

Q: 4. Determine whether the following statements are True or False? y = f(x) (a) _lim_ f(x) = 1 (b) lim…

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Q: Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos (3t)-3…

A: This question can be solved using the concept of first and second order derivatives at t=90°

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: Find the general solution of differential equation, and when initial conditios are given, the…

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Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

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Q: (a) From Standard Form to Slope-intercept Form and Vice Versa (b) From Standard to Intercept Form…

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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: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: 2-201 0 1 1 1 103 A = 0 1 -1 3 0 1 1 1 1 1 1 Which is the element A3,2?

A: To find the element A3,2  of the given matrix A.

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vf|(−2,2,− 1) = ₁ + Oj + k (Type integers or…

A: We want to find the gradient of the given function at point (-2,2,-1).

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: 1. Evaluate the given integral Q. JR (y - 2x) dA, R where R is the region bounded by x = 0, y = x, x…

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Q: Determine el valor de a € tal que: 80 ex e2x + 1 58⁰ a -dx = R+

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Q: 10. Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Given ,  We have to find the equation of the curve whose slope is the inverse of the sum of the…

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: Use the first derivative to determine where the function is increasing and decreasing and where all…

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Q: Give the tightest possible bound (as a Big-O of N) for each of the following functions: 1) f(N) =…

A: Given