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A: Given that: ∫cos2x.sin3xdx∫0π/21-cos2xdx
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Q: sec" y dy- (f) tan y
A: Topic = Integration
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A: Given that: f(x)=2x3+0:
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Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...
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Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C
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Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...
A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...
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A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...
Q: Evalvate the limit lim Cos x In(x- TT Xーつク nピ-e)
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Q: 13 What is the Maclaurin series of 1+x Σ (Type an expression using n and x as the variables.) n=0
A: Given: f(x)=131+xTo find the Maclaurin series for f(x):f(x)=∑n=1∞ xnf(n)(0)n! ; n=0,1,2,...Formul...
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A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)
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Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||
A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9
Q: 4. Let f(x) = (x – 2)² (a) Find the average value of the function on interval [1,4] (b) Find c such ...
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Q: dy (c) -y = e* sin(2x) Integrating Factor Marks] y = 1 when x = 0
A: This question is based on solution of linear differential equation.
Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...
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Q: 1 dx (use trigonometric substitution) x/1+x6
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Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 eY =x2 -y? %3D y' =] y'l(3....
A: topic - implicit differentiation
Q: Evaluate the integral. dx (х — 4)(х — 8) (Use symbolic notation and fractions where needed. Use C fo...
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Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:
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Q: Determine convergence or divergence by any method. 00 (-1)"n n=0 Vn2 + 9 The series diverges. conver...
A: The given series, ∑n=0∞(-1)nnn2+9
Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the ...
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Q: Evaluate the iterated integrals ∫1 0 ∫1 0 dxdy
A: Given query is to find the value of the integral.
Q: 22 Find the Maclaurin series for f(x) = 1+x 22 :? 1+x What is the Maclaurin series of
A: Given: f(x) = 22/1+x
Q: The tangent line to the graph of y=f(x)at the point (1,11) has the equation y=3x+8 (a) Find f′(1) ...
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Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...
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Q: Test the series for convergence or divergence. 1.9. 17 · 25 7. 12 · 17 · 22 1 1.9 1.9. 17 + 7. 12 · ...
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Q: Find the slant asymptote with limits
A: Given function f(x)=(x-2)(x+2)(x+1)(x+3)(x+1)
Q: Consider the initial value problem y'(t) = Y(0) = 3. 2y a. Use Euler's method with At = 0.1 to compu...
A: The given initial value problem is: y'(t)=12y ; y(0)=3Here f(t,y)=12y, t0=0, y0=3
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Q: If f(x) = 5 sin () , then f'(x) =
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Q: 6 and its graph, use the graph to determine the following. r(x) 10 하 6 4 2 -4 -3 -2 -1 -2 1 2 3 4 -8...
A: where f'(x) is positive f(x) will increase and f'(x) is negative then f will decrease , observe the ...
Q: f(x) to 2. 2.
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Q: Use a calculator to solve the following equation for 0 on the interval [–90°, 90°]. 3 sin (0) 4 Roun...
A: We can find the value in the interval as below.
Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.
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Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u
A: The given function, y=e-u cos(u)
Q: Part A The human heart consists largely of elongated muscle cells, some 100 µm long and 15 um in dia...
A: We need to choose correct option.
Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...
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Q: 20 Find the Maclaurin series for f(x) = - 1+x 20 What is the Maclaurin series of 1+x 00 Σ | (Type an...
A: We have to find the Maclaurin series for f(x)=201+x.
Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x...
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Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x + 1. 3 h(x) = /2x+1 f(x) =|
A: topic - functions
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A: This question is related to cone and rate of change, we will solve it using given information given ...
Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C
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sketch the derivative of the graph below
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- State the Intermediate Value Theorem. Use a graph to explain the concepts behind it (The concepts behind are constructive and unconstructive Proof)limit as x approaches infinity, -2x^3-2x+3/3x^3+3x^2-5xfind the absolute maximum and absolute minimum of the function x - 2cosx on the interval of (-2, 0)
- Limx-1 1-x+Inx/x3-3x+2What is asymptots and how we will solve asymptots?Sketch the graph of f(x)=-3x^3 -4x^2 +6x -2 by following the steps in sketching the graph of a function discussed in your module. Include in our solution the summary in table form. Label your graph(i.e. POl, relative maximum and minimum, intercepts).