18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?

Q: r = 7e0.70 ¬ the interval 0 ≤ 0 ≤ 1 and the straight line egment between its ends. -ea =

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A: We have to solve the given differential equation.

Q: Given the following limit, select all statements that must be true. f(10+h)-f(10) h Select all that…

A: The given data is: limh→0f10+h-f10h=-5

Q: Find the value of E, the margin of error, for c = 0.99, n = 15 and s=5.4. OA. 1.072 OB. 3.659 O C.…

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

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Q: Find the coordinates of the points of inflection for the function. 14) f(x) = 7e-x²

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

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Q: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

Q: sint do соби Ө

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Q: A region bounded by f(x) = x², y = 0, and x = 4 is shown below. 2 Find the volume of the solid…

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Q: Find the derivative using logarithmic differentiation. r³(2x - 1) (5x + 1)7(x + 1) 14. y=

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Q: 1. (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X₂+2X₁ = 13 (b)…

A: Here we have to write the equations in matrix form and then we have to do matrix multiplication.

Q: The first left-endpoint of any partition of an interval [a, b] is

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Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤ 0 ≤π/2. 2. Find the length of the r(t)= , 1≤t≤ 5 3.…

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Q: Find the largest product the positive numbers x, y, and z can have if x² + y + z = 4. The product is…

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Q: The y-intercept of the parabola y = - (x-20)^2 + 100 is

A: The given equation of the parabola is: y=-x-202+100   As we know that; To determine y-intercept, we…

Q: a. Set up an integral for the length of the curve. b. Graph the curve to see what it looks like. c.…

A: Explanation of the answer is as follows

Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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Q: p(x) Given the Rational Function f(x) = q(x) Assume the numerator and denominator have no common…

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Q: Given the functions: f(x) = 7x g(x) = x+2/ h(x) Evaluate the function (g-h)(-4) for the given value…

A: Given :fx=7xgx=x+2hx=1x+5

Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: 10. Determine the point on the line x + 2y = 2 that is closest to (0, 0). Draw a sketch.

A: point which is closest to origin

Q: Past records from a factory producing electronic components show that on average, new employees can…

A: Past records from a factory producing electronic components show that on average, new employees can…

Q: Question 4 In sketching y In (x-2)² e22 no horizontal asymptote None of the choices O y = 0 and y =…

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Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A: To find the distance between the two cars.

Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given :17)  5xe9y=1218) x2+3y2=13

Q: 11. Draw a high-quality graph by hand on graph paper for the function f(x) = 2x³ + 6x². Your work…

A: Given :  f ( x ) = 2x 3 + 6x2  find minimums , maximums and inflection points ,  And intercepts

Q: Find the area enclosed by the curves f(x) = 33 - x² and g(x)=x². The area (rounded to two decimal…

A: The region bounded by the curves fx=33-x2 and gx=x2

Q: Use any method to evaluate the integral. dx X>11 (x²-121) 3/2

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Q: ror(4)). 95. Find the restrictions in the domain, if any, for If there is more than one restriction,…

A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

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Q: Solve the following linear programming problem.   ​Maximize: z= 39x+10y subject​ to: 8x+6y ≤48…

A: Given that, Maximize: z= 39x+10y subject​ to: 8x+6y ≤48   13x+y ≤48…

Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: Solve x + 13| ≤3 the following inequality and graph the solution set. Select the correct choice…

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Q: The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. Use…

A: Topic = Derivative

Q: ди 2²u Consider the heat equation = +2x, for a bar of length L=1, with non homogeneous boundary…

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Q: Find the general solution of the given second-order differential equation. 30y" 19y' 5y = 0 -…

A: See the details solution in below

Q: Let F(x) = [² costdt. Find F'(x).

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Q: 7. Integral cos x dx sin x

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

Q: 5. Integral ReR dR

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Q: If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B…

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Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

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Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: Draw the graph:-    y=0 ( x-axis)  and y=√(x-x2)

Q: I. Integration by Parts. Evaluate the following integrals. 3. sin (In x)dr

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Q: Determine the first three non-zero terms in the Maclaurin series for einz

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Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A: