[ (x²ex - 12/²7/1₁) dx x + 1,

Q: ve the separable differential e C 1 = x² + t d find the particular solution sa 0) = = - 2.

A: topic;- application of integration

Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

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Q: Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of two…

A: The Solution is given below

Q: Use the integration capabilities of a graphing utility to approximate to two decimal places the area…

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Q: 12. DETAILS Find the area of the surface generated by revolving the curve about each given axis. x =…

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Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

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Q: A moving conveyor is built to rise 1 m for each 6 m of horizontal change. (a) Find the slope of the…

A: A moving conveyor is built to rise 1 m for each 6 m of horizontal change.

Q: Find the directional derivative of the function at P in the direction of v h(x, y, z) = xyz, P(2, 2,…

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Q: Let V be a vector space over a field F and let w, x, y, z ∈ V. Show that w + (x + (y + z)) = ((w +…

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Q: Find the particular function y given that dy dx = 7√x - 3x√x +7, when x = 1, y = 5 (Use symbolic…

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Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (a) Find the volume of the…

A: Here we have  to use the concept of vector

Q: Find the exponential function f(x) = ax whose graph is given. 1x f(x) = ب | دن -3 -2 N WebAssign…

A: Here we have to find the function.

Q: Find the area of the triangle with vertices P(1,5, −2), Q(0, 0, 0) and R(3, 5, 1). NOTE: Enter the…

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Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1<x<1

Q: 8 Determine if the following series converges or diverges. If you invoke a test to demonstrate your…

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Q: A product sells by word of mouth. The company that produces the product has noticed that revenue…

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Q: ● Allo U5 (D²-2D +1) y = xe sinx X Ans: y = ₁+ ₂x e t e-xsinx-2 cos x -^/

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Q: Problem 6. The graph of f' (not f) is given below. At which of the marked values of x is A. f(x)…

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Q: The reproduction function for king salmon in a sea is f(p)=p² + 7.5p, where p and f(p) are in…

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Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: 7. Find the solution of the differential equation. 4y’’+17y’+4y=0 theme: repeated roots; order…

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A: Given problem:- f(x) =-13/(x2 -11x+36)  To find:- Critical points where local maximum and minimum…

Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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Q: Is the inverse equation a function

A: The inverse equation or an anti equation is also a function.   A function is invertible if and only…

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: Assume the same spring-mass-damper system above (without the impulse forcing function) has the…

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Q: yP=Ae+Bex What yp

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Q: F(s) = 1 3s-5

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Q: Find the inverse LaPlace transform F(s) = 3 ²+5 2

A: Given, F(s)= 3/(s²+5) It can also be written as, F(s)= 3/(s²+(√5)²)

Q: Find the direction cosines and direction angles of the vector. (Give the direction angles correct to…

A: Solve the following

Q: Describe at least two (2) similarities found in methods of integration and methods of…

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Q: 10. (True/False) For any continuous function f(x, y), we have fry = fyr.

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Q: 9. lim (e* + x)²/™ x48

A: Let's evaluate limit.

Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

Q: Evaluate the indefinite integral using Substitution. (use C for the constant of integration.) 3 ln z…

A: Substitute ln(x)=t

Q: et f(x) [8− x − x² if x ≤ 2 12x - 5 if x > 2 Calculate the following limits. Enter "DNE" if the…

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Q: 9. 23/2 3√x+1 - S dx

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Q: Determine whether the following statement is true or false. ƒ(x) − ƒ(1) x - 1 If lim- x→1 O True…

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Q: The answer is in the wrong format, but even still 0.18 is incorrect. Please provide the actual…

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Q: 2 x ln((2x)²) dx 1

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Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: A test requires that you answer either part A or part B. Part A consists of 9 true-false questions,…

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Q: A 1-kilogram mass attached to a spring whose constant is 18 N/m, and the entire system is then…

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Q: In 1960, the population of a town was 1313 thousand people. Over the course of the next 50 years,…

A: Let's find population in 2030.

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 3), b = (-1,…

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Q: What is the distance between the point (-2, 5, 3) and the z-axis?

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

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