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Q: Find the Average Rate of Change of the following function over the interval [2, 5] (That is, from t…

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Q: (Homogenous) Solve the diff eq. x dx e-x (y + 1) dy + y³ =

A: The given differential equation, xdxe-x+y+1dyy3=0 Formulas used:…

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Q: No O Yes 2. Is the follow...g graph a function? desmos.com

A: This question can be solved using the concept of vertical line test.

Q: Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² = 2 (AD² + BD2),…

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Q: Find the domain of the function. (Enter your answer using interval notation.) √x 8x² + 7x1 g(x)= =

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Q: Thank you!! How about if I want to know the angular speed in radians/sec?

A: Let's find angular speed in radians per seconds.

Q: 2. Find the volume of the solid that results when the area of the region enclosed y=√√x on [1,2] is…

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Q: Find values for c and d that make h(x) continuous. ۱۱ - c=d=0 2x h(x) = cx²+d O c = 2 and d = 0 O c…

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Q: Solve 273 (Q)dx if Q=0.85x² + 6x + 12 298

A: Given :∫298273QdxQ=0.85x2+6x+12

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Q: Given the integral: In(x) x² da

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Q: a. f(x)=x-1 x²+1 b. fx=CSCTX

A: To find the vertical asymptotes , put the denominator equal to zero and solve for x.

Q: Find a formula for the described function. An open rectangular box with volume 7 m³ has a square…

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Q: y=de³x + be-3; y"-9y=0 -3.x.

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Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: Q3: A. Find Wer if W = f(x, y) {x = reost, y = rsint W₁,

A: From chain rule we know if w=f(x,y) and x=g(r,t) and y=h(r,t) then, ∂w∂r=∂w∂x∂x∂r+∂w∂y∂y∂r

Q: Find the exact length of the arc intercepted by a central angle 8 on a circle of radius r. Then…

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Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: H(t) = -15 16 -15 - +² Sketch the graph of the function. 4-t - 10 - 10 -5 -5 H(t) 20 15 10 $5 H(t)…

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Q: If (0,4) and (1,6) are critical points of y=a+bc+cx³, find the valur of c. A. 1 B. C C. -1 D. -2

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Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

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

Q: Use an appropriate Pythagorean identity to find the indicated value. Write your answer as a…

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Q: Solve the homogenous diff equation of; y' = y sec x

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Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: Compute the surface integral over the given oriented surface: F = y²i + 6j − xk, normal F. ds =…

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Q: 4. Let w = f(z) = 2iz + 6z, find u and y and the value of fat z = ¹+ 4i

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Q: C. Find the standard form of the equation of a circle given the following conditions. 10 10. Passes…

A: We can solve it by various method but i solved it as shown below.

Q: 1.) Which of the following is not a solution to Show your solution. a.) y = xcos(x) + kx b.) y =…

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Q: Can

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Q: The real number t corresponds to the point P P(-3,-4) on fraction, if necessary. on the unit circle.…

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Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given P = −0.2N2 + 3.6N − 9

Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 2 1 0 -1 -2 -3 F 12 5п 12 3πI…

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Q: 1337 + (2) =?

A: We have to find the value of given complex number.

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: n=1 1 n√n

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Q: Consider the following functions. f(x) = √√√√64 - x², g(x): = √x + 2

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Q: 28. F(v) V v+2

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Q: y' = y² - e³xy² subject to initial condition of y(0) = 1

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Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: Find any vertical asymptotes of the function: f(x) = x-4 x² - 4x - 45 Write the equation of the…

A: The given function is: fx=x-4x2-4x-45   As we know that; To calculate the vertical asymptote, equate…

Q: -1.5 0 1.5 For what value of constant c is the function k(x) continuous at x = 0 if k(x)= No such…

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Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: I could write on paper

A: Volume of the parallelopiped , V =xyz

Q: Question 15 of 16, Step 1 of 1 18/29 Correct Among all rectangles that have a perimeter of 84, find…

A: Topic- Application of derivatives Let L=Length of rectangle W=width of rectangle Perimeter of…

Q: Q: A. Find if w = xy + z.x= cost.y = sint and z = t at t = 0.

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Q: Evaluate the following relations for given values f(x) = 3x² - 2x (a) Find (b) Find f(x + 2) f(1 -…

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Q: Find the volume of the solid that results when the area of the region enclosed by y=√√sin x and the…

A: Concept: Volume by integration: The volume of the solid produced by the region under f(x) centered…

Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* – ²³ (-4)* is so the constants A and…

A: z transform