Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3)

Q: Use the above theorem to find the sum of each series. NOTE: Write your answer in the form of a reduc...

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Q: I. Determine the derivative of the ff. exponential functions 1. y = 8 e -4x 2. y = 15 e 7x + 3 3. y ...

A: As per our company guidelines we can answer only three subparts question at a time, but if you need ...

Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the...

A: Let's find. 

Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

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Q: A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have ratio of 4:5. Find the...

A: A trapezoid has an area of 36 m2 and an altitude of 2 m. Its two bases have ratio of 4:5. Let, a=4x...

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: Watch the video on partial fractions decomposition with a repeated quadratic factor before answering...

A: Given,1x2+3x2+221x2+22x2+3=Ax+Bx2+3+Cx+Dx2+2+Ex+Fx2+221x2+22x2+3=(Ax+B)x2+22(x2+3)x2+22+Cx+Dx2+3(x2+...

Q: The graph shown is f(x) =/x. If g(x) = f(t)d t, find g(4). AY 3.6 2.4- 1.2t + -1 0 3 4 6 O g(4) = %3...

A: The detailed solution is given below Thank you 

Q: 1. Find the tangent to the curve given by the parametric equations: X = 1/t; y= VE e-t

A: Appliaction of derivative problem  

Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: dy de + 2xy = 2xe-x².

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Q: an+1 to determine if the sequence {ne" } is strictly increasing or strictly decreasing. an Use the r...

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Q: Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

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Q: The graph shown below is f(x) = 2x – 1. If g(x) = f(t)d t, find g '(2) AY 8. 6+ 2t + 4 -2 4 O g'(2) ...

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Q: The graph shown is f(x) = sin x. What is the integral that defines the area under this line between ...

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Q: Which of the following is the general solution of the DE: у" - 36у %3D0? Select one: o y=C,+Ce 36x -...

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Q: Let F = Use Stokes' Theorem to evaluate F. dī, where C is the triangle with vertices (9,0,0), (0,9,...

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: x4 + 2y = x2 – x +1 y(1) = 1/2 dr

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Q: The area of the rectangular piece of cardboard shown below is 209 square inches. The cardboard is us...

A: Given problem:- The area of the rectangular piece of cardboard shown below is 209 square inches. The...

Q: Express the repeating decimal as a fraction. 0.2715 25 25 25...

A: The given number,    0.2715252525........

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

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Q: Determine whether the series converges. k=1

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Q: Let 5n2 + 14n bn 3n2 an = 3n4 - 5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic n...

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Q: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: x2 dx. Which of the following options is correct? Consider 9+x6 A) Arctan + lim - Arctan lim 9. w- 0...

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Q: 8-2x (f) lim- X-4 x -x-12 Vx² +16 –4 lim- (g) x' +8 lim x-2 x+2 (h)

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Q: 2. f(x) = Va +æ + 1

A: Here, the given function is: f(x)=x2+x+13 Now, f'(x)=13(x2+x+1)13-1(2x+1)        =13(x2+x+1)-23(2x+1...

Q: Determine if -1 CSC if 0 1 is continuous or not at r = and 1. If it is discontinuous, identify the ...

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Q: Write the first five terms of the sequence: ( +o0 S11 In n n=1 Determine whether the sequence conver...

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Q: Pinocchio’s nose length y (in inches) is dependent on his lie count (s). Geppetto has modeled this ...

A: Given equation, yy=as where, y is Pinocchio’s nose length (in inches) s is his lie count a is a magi...

Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

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Q: Solve the following Sturm-Liouville problem by finding the positive eigenvalues and its correspondin...

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Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A 2...

A: This question can be solved using the concept of integration by substitution.

Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

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Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1...

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx  

Q: x In(2 + x³) dx

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Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1' Pa(x) %3D

A: Maclaurin series is given by f(x)=f(0)+xf'(0)+x22!f''(0)+x33!f'''(0)+x44!fiv(0)+.... Given f(x)=2x-2...

Q: 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribu...

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Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h0 f(...

A: Given: f(x)=x3

Q: The graph shown is f(x) = 2x2 - 2. What is the integral that defines the area under this line betwee...

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Q: Consider the function f :R →R given by f (x, y) = e* In(1+ y) Find Vf. What is the rate of change of...

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Q: 2.

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Explanation of the answer is as follows

Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: Evaluate the integral using tabular integration by parts. 4 x° V2 x + 1 dx +C

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