Find the closest point to y in the subspace W spanned by v₁ and v₂. y= 7 1 14 || I I - 2 , V₂ = -2 2 0 2 The closest point to y in W is the vector (Simplify your answer.)

Q: 6. Use a Table Entry to find the exact value of 0 2x sin(7x) dx.

A: Solve by by parts method

Q: The radius of a circle is increased from 5.00 to 5.08 m. Estimate the resulting change in area, and…

A: The radius of a circle is increased from 5.00 to 5.08 m. To estimate the resulting change in area,…

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A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity, we need…

Q: a) Let A be an invertible matrix. Assume that we have matrices B, C such that AB = AC. Show that B =…

A:

Q: Suppose that and y are both differentiable functions of t and are related by the equation y5 + x =…

A: we will find the required.

Q: Consider the parametric equations below. x=?-4, y=b+ (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . given equations are

Q: 1. Circle all of the following that are considered indeterminate forms. 0⁰ 818 010 018 0.0 0.0 4154…

A: We have some indeterminate forms. We have to identify among the given ones.

Q: -5 -4 -3 -2 -1 3 2 2 -1 -2 -3 1 2 3 4 a The function graphed above is: Increasing on the interval(s)…

A: Here we check check the increasing and decreasing property of graphed function.

Q: 2) factor 5²-73 +12

A: Since the student has posted multiple questions and does not mention any specific question, and…

Q: If f(x) = 7x² - x + 5 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h ||

A: a) Replace x by (x+h). b) Substitute the required.

Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

A:

Q: observer on the ground sites a plane at an angle of elevation of 42.6°. A

A:

Q: The area of the surface obtained by rotating the portion of the curvey = sin(x) where evaluating the…

A: We need to set up surface area integral.

Q: For f(x) = 2x and g(x) = x, find the following. (a) (f+g)(x) (b) (f- g)(x) (c) (f.g)(x) (d) (f/g)(x)…

A: For fx=2x and gx=x6, to find the following.a f+gxb f-gxc f·gxd fgx, x≠0

Q: If f(x) = then f''(x) = [²* (t³ + 6t² + 5) dt

A:

Q: Solve the equation 3 ln x = 2. Round your answer to two decimal places. If the equation does not…

A:

Q: the answer is incorrect

A: I have rechecked the solution. The answer and explanation is absolutely correct for the particular…

Q: Which of the following is equivalent to ® / ² / du. A U B C -du, where u = x² - 16 2121/12/17/1/2 2x…

A: See this solution in below.

Q: A rectangle has a length that is increasing at a rate of 11 mm per second with the width being held…

A: this is the question of application of differentiation  here area of rectangle is given we have to…

Q: Beginning 35 miles directly north of the city of Georgetown, a boat travels due east. The boat is…

A:

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: Given: From the above graph, we can observe that the function is increasing in the interval (-1,…

Q: The graph of f(x) = -² 3r is shown alongside. a Use the graph to estimate the gradient of the…

A:

Q: differential equations 2ycos(2x)dx+(sen(2x)-2sen(y))dy=0

A:

Q: = .. Find the tangent plane and normal line to the surface ƒ (x, y) : (1, 0, 1). xey at the point

A:

Q: Nov 16, 5:52:16 PM A particle moves along the x-axis with velocity given by v(t) = cos (t) for…

A: Given query is to find partical moving away of toward the origin.

Q: Find a power series function representation for the f(z) = ln(5 — z).

A:

Q: Let r(t) = ·( 20 ²21 ²2² ² ) =

A:

Q: Determine whether the series converges, and if so find its su ∞4k+2 7k+1 k=1 (Enter DNE if the sum…

A: Given query is to find series converges or diverges.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A:

Q: The accompanying figure shows the graph of a function ƒ(x) with domain 30, 24 and range 30, 14. Find…

A: We have to find the domain and range.

Q: f(x) dx, given than = 4 Find the value of 6 f(x) is odd, and ſ≤₂ ƒ(x) dx √₂ f(x) dx =

A: Integral

Q: A certain country's GDP (total monetary value of all finished goods and services produced in that…

A: We will integrate the given function from 0 to t to find the total GDP.

Q: Consider the vector field F r(t) = t² i + t³j, 0≤ t ≤ 3 Evaluated along the curve

A:

Q: If x squared divided by 25 plus y squared divided by 64 equals one and y(2) equals 7.33, find y…

A:

Q: x 74. -7 b) V +2- a)

A:

Q: solve each inequality.   x2+x>0

A:

Q: Find the maximum and minimum values of the function f(x) = x The minimum value= The maximum value =…

A:

Q: Question 9 Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution.…

A: ∫xndx=xn+1n+1+cI=∫2x2x2-4dxd dx(xn)=nxn-1

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3x²…

A:

Q: -10 -6 -2 10- 8 6 2 -2- -4 6- -8- 10- 2 8 + x 10 Given the graph of f(x) in the figure, what are the…

A: Local extremas are the points where the graph maximum or minimum of a graph is present.

Q: Solve the following initial-value problem: ) de dx-xe dy=0; y(1) = 0 √x + ye O O O Inlxl=e +1 Y…

A:

Q: If h(x) = -5x³ + 8x² - 7x-9, determine whether the graph of h(x) is concave up or down when x = 3.…

A: Given function:- hx=-5x3+8x2-7x-9 Function concave up when h''x>0function concave down when…

Q: Show complete solution.

A:

Q: The function f(x) 2x³ – 27x² + 84x + 3 has one local minimum and one local maximum. Use a graph of…

A: The given function fx=2x3-27x2+84x+3. We have to find the local maximum and local minimum values of…

Q: Find the equation of the tangent line to the graph of f(x) = √√√/2 x at (1,1). Your equation must be…

A: We need to find the equation of tangent to the graph f(x)=2-x at point (1,1).

Q: Compute d 1 dx e2x-1 - 2.2³).

A:

Q: graph of g(x). 6 Ay 4 3 2 1 −4 −3 −2 −11 2 y=g(x) 1 2 3 4 5

A: If g(x) is the first derivative of f(x), then f(x) has a relative minimum at x=3.

Q: Mary invested in an account that grows 2.25% interest every 3 months. If she invested Php 15,000…

A:

Q: 4. Given x² + 9xy - 10y² = 0, Find the equation of the normal to the tangent line at the point (18,…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x