7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and w= [0,3,5]

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Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: WHich of the following represents the shell height if the shell method will be used to find the…

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Q: If f(w) f'(w) = = w7 -In w 7 w7 49 find f'(w). Use exact values.

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Q: 3 + 3 3 3 -3 몽클롭 + 니 50 times

A: We know that, ∑n=1kn=1+2+3+4+. . .k

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A: solution:-f(x)=1-x2   if x≤1ln(x)     if  x>1on the  interval -∞, 1 f is quadratic function &…

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Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

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Q: 4 for the function below, the domain and the range is respectively -2+√1-x

A: You must have idea about how to find domain and range of any function. Domain of a function means…

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A: solution:-∑n=1∞-1n2x-3n2n-1ratio test:-an=-1n2x-3n2n-1an+1=-1n+12x-3n+12nthe series will be…

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Q: Evaluate the following integral − (x - 1)(x-2)(x − 3) -

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: (A) Graph y = 1.2x-2.7 in a rectangular coordinate system. (B) Find the x- and y-intercepts…

A: Here we have to plot the graph.

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: help

A: We will solve the problem.

Q: 3a. Find the coordinates of the relative maximum and relative minimum of the following equation:…

A: solution:-f(x)=x-32e2xf'(x)=x-32ddxe2x+e2xddxx-32…

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Q: Verify that the indicated family of functions is a solution of the given differential equation. A dP…

A: Given  dPdt=P1-P;   P=c1et1+c1etTo Find: We need to verify the solution

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Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

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A: Here we have to find the domain and the range of the given function.

Q: 3x²y dx − (x³ + y³)dy = 0,_y(1) = −2 -2

A: See the details solution in below

Q: I need the third derivative for all of the following functions: f(x)= + 1 + x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

A: This question can be solved using the concept of vectors.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (x + h)3 −…

A: The given limit,      limh→0x+h3-x3h

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Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: (x − 2)2    if x ≥ 1. (a) Find the following limits. (If an answer does not exist, enter DNE.) lim x…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: 3. A factory selling phones has a marginal function C(x) = 0.01x²-3x+229, where x represents the…

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x² cos(167x) = 0.…

A: Let's solve limit problem.

Q: a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: ) Calculate the indefinite integral using Partial Fraction Decomposition. X Sax- dx (x-2)(x + 1)2²…

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Q: B. Determine orthogonal $2435 if A=9i-6j-24k and B=(-15, 10,40) are parallel, or neither using dot…

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Q: Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: Given problem:- Verify that f has an inverse function. Then use the function fand the given real…

Q: 0 Question 5 サ lim f(x) does not exist. ✓ [Select] True False [Select] Find all z-values at which f…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy2 +…

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Q: 4 [*ƒ 2 [ (8f(x) 11g(x)) dx = Use the fact that [²ƒ(2) dz = f(z) = [₁ (81(x) - f(x) dx = 26 and 4 Lª…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: 3. Consider the function f(x) = 23 if x = Q if x # Q. Prove that f'(0) = 0. Hint: Apply the…

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Q: Which of the following is the appropriate substitution to evaluate the given integral using…

A: This question is related to indefinite integration, we will solve it using given information.

Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ B (1-x)³ C (1 + x)4…

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Q: The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º…

A: We want to select the correct option.