The linear approximation at x = and where B is: 0 to 1 X is A + Bx where A is:

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: Evaluate the following integral using trigonometric substitution. √√2 S SO 0 √49-x dx What…

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Q: =) 2 -1 -4dx 9x² +30x+25

A: To evaluate the integral.

Q: Verify the Divergence Theorem for the vector field and region: F = (3x, 5z, 3y) and the region x² +…

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Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

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Q: etermine the appropriate rotation formulas to use so that the new equation does not contain any…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: The given function is fx=12x9x2-8

Q: LOGARITHMS The statement y = 6* can be written as x=log, y. They mean the same thing. REMEMBER: A…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 6.What do you call the properties of vector when their cross product or dot product is equal to…

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Q: Find two numbers with difference 82 and whose product is a minimum. Enter your answers in increasing…

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Q: 9. (2xy + x² + x4)dx = (1 + x²)dy = 0 2 -

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Q: K Write an equation for the ellipse. Type the left side of the equation in the box below. Q

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Q: (27 - ㅎ) (2급 + 글 이효리 17 U O 112-10 U 4u 4 u - 2 U 2 2

A: Topic:- application of vector algebra

Q: 7. Сучу+9 93)dx хоч до з 3 - и х 'dyto

A: Let's solve given differential equations.

Q: For Questions 1-3, use the differential equation given by y = x, y dy xy dx y > 0. 3. Find the…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

A: Given; dr/dt =4 inches per minute and h=6r.

Q: What type of graph is this? A parabola An absolute value graph A hyperbola A linear graph

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Q: 323. [T] The number of cell phones produced when x dollars is spent on labor and y dollars is spent…

A: The number of cell phones produced when x dollars is spent on labor and y dollars is spent on…

Q: Evaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x = 5.

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Q: use the vectors in the figure at the right to graph the following vector. V+W Choose the correct…

A: Given figure:-

Q: Find the breakeven point of the following functions: C(x) = 5x - 7 R(x) = 2x Approximately (2,…

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Q: B- Let r(t) = (²+2) i + (3t) j .Find (t) such that r(t) parallel to r'(t).

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Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: the blank(s) provided. 9. The y-intercept of the function f(x)=4(2) is 10. To the nearest hundredth,…

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Q: approach 2/3). Thus there is a horizontal asymptote at y= Case III. Degree of the numerator is…

A: According to company rules, I need to solve first question when multiple questions are posted.  So…

Q: Find an equation for the ellipse. Graph the equation. center at (1,6); focus at (4,6); contains the…

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Q: (7)x(+7) is equ ○₂(π × V) Ouv 027

A: Topic:- vector algebra

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 1000t - 180t², where t…

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Q: Let f(x) = x³ + 3x² - 24x + 18. (a) Use the definition of a derivative or the derivative rules to…

A: Function

Q: Consider the following function and point. x + 5 X-5 (6, 11) (a) Find the derivative of the…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

A: We can answer the question as below.

Q: Find the area of the shaded region. 21) 2- y = 2 2 sin(my

A: Since we are given with the multiple number of question and answered according to the guideline

Q: y' = = CSC x - y cotx

A: The standard equation of first-order linear differential equation is: dydx+Pxy=Qx The solution of…

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Tutorial Exercise Find the limit, if it exists. n_ (+²) lim Step 1 Recall from Theorem 3.10 that if…

A: Given problem:- limx→∞8+5x

Q: estimate the area under the graph f(x)=2x2+1   from x=0 to x=2 use four rectangle and the right…

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Q: 18. Find each indefinite integral by using appropriate substitution. cosx − xsinxdx XCOSX fco

A: Topic = Integration

Q: Evaluate the integral. esin−1 3x √1-9x² 32) dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the triple integral: 元 SS1² S² π/2 O 0 12p sin p cos 0 dp do do

A: The answer is given below:

Q: 8. x(x² + 1)y' + 2y = (x² + 1)³

A: Given problem:- xx2+1y'+2y=x2+13

Q: Find the volume of the solid generated by revolving the region about the given line. 19) The region…

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Q: Graph the equation r2=81 sin (20). Use a graphing utility to check your work and produce a final…

A: Solution: Using the formula r2 = a2 sin(2θ), where a≠0 graph the lemniscater2=81sin(2θ)

Q: A population of 450 bacteria is introduced into a culture and grows in number according to the…

A: Given, p(t)=4505+4t73+t2

Q: Using polar coordinates, evaluate the integral // sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

A: Concept: Dual integrals in polar space: An iterated integral in polar coordinates can be used to…

Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

A: The objective is to determine the average rate of change for the function.

Q: Consider the initial value problem y" + 16y= cos(4t), y(0) = 3, y'(0) = 8. a. Take the Laplace…

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Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

A: 15.6+16.7+17.8+.............+1n+4n+5=n5n+5 To prove using mathematical induction, we use three…

Q: Consider the function f(x) = 2x² - 6x +7, 0≤ x ≤7. The absolute maximum of f(x) (on the given…

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Q: Let (a) (b) (c) f(x) = log (2 x² + 3) -log(5) - 6 f(1) = The slope of the tangent line to the curve…

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Q: Determine whether the following series converges. Σ(-1)+1 + 1 Ink k² 8 k=1 Let a 20 represent the…

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