Using the function f (x) = 2x2 - 3x 1, find the average rate of change of f (x) in the interval 1,3]. Average rate of change for f (x) is

Q: Find the area of the triangle with vertices P(1,6, –5), Q(0,0, 0) and R(2,3, 1). NOTE: Enter the exa...

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Q: dx x4 V9 – x2

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Q: 12. Find the value of the limit: lim a. +00 b. -0 C. d. Indeterminate 13. What is the value of the l...

A: To answer the given question about limits.

Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

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Q: 4- If a function is differentiable at zo, then it is : a) Differentiable on C b) Continuous on C c) ...

A: To answer the given question about the complex function.

Q: 1 (a) Use the Integral Test to show that > converges. 2. n' +1 d 1 n = 0 -1 tan dx Hint: 1+x?

A: As per our guidelines, we are supposed to solve only one question.  Kindly post other questions  as ...

Q: DO NOT include spaces in between characters. Compute g'(2) if g(x)=10**-2*. 16 Your answer

A: The objective is to compute g'(2).

Q: Evaluate the following integral. | e2%cos3x dx

A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

Q: Indefinite Integral Determine f(x) given that f'(x) = 6x³ – 20x +x² + 9 B.Determine f(x) given that ...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: 11. S 8a'da = %3D

A: This is a problem related to integration. Based on the general formula of integration we will solve ...

Q: A small island is 3 miles from the nearest point P on the straight shoreline of a large lake. If a w...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find the Laplace transform for the follow e-t sin t

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

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Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and pos...

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Q: for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u? ...

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

A: Here, the given vectors are: A(1,-1,2), B(2,-3,0), C(-1,-2,0) & D(2,1,-1) (a) Here, AB=(2,-3,0)-...

Q: Find the nine roots of -256 - j256√3 Give it's exact and approximate value And graph the roots in an...

A: Given expression is: -256-j2563. We have to find nine roots of the expression. 

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: A. Directions: Find the limit of the following rational functions: X-1 1. lim x1Vx² + 3 sec x 2. lim...

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Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: 3. (9 points) Find the volume of the solid obtained by rotating the region bounded by the curve y = ...

A: Volume 

Q: 1. A Norman window is constructed by adjoining a semicircular window to the top of a rectangular win...

A: We have to find the dimensions of the given window.   According to our guidelines we can solve only ...

Q: 1 -dr. a In r| Find 3.

A: Let's find. 

Q: e2x dx Evaluate: 9-4e4

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Q: onsider the power series 2n + 1

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: A function is f(x) is said to be continuous at x=a iff  limx→a-f(x)=limx→a+f(x) A discontinuous fu...

Q: Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D...

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Q: Find the volume of the following solid. The solid S between the surfaces z= ex-y and z = - 4 ex-Y, w...

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Q: A - Evaluate the following integral. e2x cos3x dx

A: Given I=∫e2x.cos3x dx

Q: A system is described by the DE n.p + r + 5 u = 10. d t? dt (a) For what values of the positive cons...

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Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE? Prov...

A: Let's find. 

Q: D) Find the parametric and symmetric equations of the line through the points(1, and (-5, 4, 2).

A: Given query is to find the equation of the line.  

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0 R(3, 5, 1). NOTE: Enter the exact answ...

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Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: a Fate of change, r' (t) for the radius of Ralloon A over the time interval 0 <t < 10. t (minutes) 4...

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Q: rtoo Е. re dx स०२२

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Q: Solve the given ordinary differential equation: xsin(x) (x³ + 2) dx + (;+ xsin(v))dy = 0 п(у)) dy x°...

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Q: The curve y = 2x^0.5 is intersected by the line x = y. 1. Compute the area bounded by the two curves...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

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Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Test II. Match the definition in column A to the corresponding theories in column B. Column A Column...

A: Find your answer below