Obtain the differential equation whose general solution is y = ₁ + ₂³x

Q: (37. Manufacturing Cost Let C(x) be the cost (in dollars) of man- ufacturing x bicycles per day in a…

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Q: •√√cos Evaluate cos x sin³ x dx. + C

A: Given query is to find the value of the integral.

Q: 11 11 Given "f(x)dx = 34 and g(x)dx = -5, find the following: ₁₁ [4f(x)-3g(x)]dx 11 O -151 O 151 O…

A: We have, ∫-411fxdx = 34∫-411gxdx = -5 To evaluate: The value of ∫11-44fx-3gxdx.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 5-x-1 2-√√x e (2+√x) (2+√x)

A: Topic:- calculus

Q: sketch the graph of each function. Be sure to label three points on the graph.   f1x2 = x

A: Given, fx=x

Q: the difference quotient for the given function. Simplify your answer. Rx)=x²³, f(a+h)-f(a) function…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 5√3 and whose components have…

A: Given :<x,y,z> be any vector in 3d space then

Q: (a) Plot the points 14, 702, 16, 802, 110, 1002, and so on ina Cartesian plane.(b) Draw a line…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: lim x 4 X-4 X-4

A: Answer for first question is =-0.0625 Answer for second question is =-4/(3u-1)2

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

A: A=P(i[1+i]n)[1+i]n-1where A is the periodic payment amountP is the principali is the periodic…

Q: Let F(x)=f(f(x)) and G(x)=(F(x))^2. If f(8)=9, f(9)=3, f'(9)=4, f'(8)=13; find F'(8) and G'(8)

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Q: Consider the parallel piped with adjacent edger R² = -2²² + 35²¹ + R²₁ V² = 1² + 3√² + 3K² and W =…

A: We can find area of the face .

Q: R is the region bounded by the functions f(x) = 1 + x² and the g(x) = x - 2 and the lines x=2 and…

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Q: What is a suitable integrating factor that can be used to solve the equation dy x+2y - 4xy - e *…

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Q: use the graph of the function f(x) below to answer the following questions. (-3,0) -4 (-5,-2) 13.…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Use the Gauss-Jordan method to solve the following system of equations. 3x + 8y4z = 0 5x - y + 5z =…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  augmented matrix is

Q: measured in hours. Determine the time intervals when the train is slowing down or speeding up. The…

A: Given query is to find the interval where train is speeding up and down.

Q: y=tan(x/3) at x = 3

A: The function is given by y = tanx3 To evaluate: The value of the first and second derivative of the…

Q: Find the gradient of f at the indicated point. f(x, y) = 2x² + 2y¹; (4,2) NOTE: Give your answer in…

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Q: If $1000 is deposited in an account paying 8 % annual interest, compounded continuously, how long…

A: Given query is to find the time to reach the amount to $1600.

Q: In order to expand (x3 - y4)5, I find it helpful to rewrite the expression inside the parentheses as…

A: Given data:- The given expression is, x3-y45

Q: Separation of Variables Obtain the general solution of the equation y'=xy'

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Q: f(a+h)-f(a) h Jse algebra to simplify by hand and then letting h→0 to find f'(a) where: A. f(x) = 5x…

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Q: Describe the end behavior of the given function. 2 P(x)=√11x + 5x² - 3x + 3 What is the end…

A: We have given function  Px=11x3+5x2-3x+3 Comparing this with the equation Px=ax3+bx2+cxd We get,…

Q: 7 of 10 Consider the ellipsoid x² + y² + 4z² = 41. Find the acute angle that the tangent plane at…

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Q: From now on, we will not use tables or numbers veeeeery close to the target value in calculators to…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Given query is to apply sine law and complete the triangle.

Q: Use linear approximation to approximate √49.1 as follows. Let f(x)=√x. The equation of the tangent…

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Q: Find the intersection of the line r(t) = (1,0,−1) + t(4, 14, 2) and the plane x − z = 6. (Give your…

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Q: Use the Law of Cosines to determine the indicated angle 8. (Assume a = 126.5, b = 59.5, and c = 159.…

A: Given, a=126.5, b=59.5 and c=159 Aim: Find θ

Q: (ƒ-¹ of ¹)(-2) 78. (g-¹g-¹)(8)

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Q: In exercises 87 and 88, use a graphing utility to graph the function. Then, graph  P1(x)=…

A: Given f(x)=ex So, f'(x)=ex So, f"(x)=ex So, P1(x)=e0+xe0=1+x  So, P2(x)=e0+xe0+x²e0/2=1+x+x²/2

Q: A company is designing a vase. They plan to use the solid formed by rotating 360° about the z-axis…

A: Given fx=kex/24+ex bounded by x-axis, y-axis and line x=ln396.

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

A: To find the distance between point p and line AB.

Q: Sketch the graph of the function h(t) = t2 - 2.

A: Given data  h(t) =t2-2

Q: Find Vz. = sin(5y² - 5xy) NOTE: Give your answer in unit vector notation; that is, in terms of i and…

A: Topic:- derivatives

Q: lim X-4 X 2 x -16

A: Given

Q: Find the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the…

A: Solution

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: Unit vector u→ in the direction of v→ ⇒v→v→

Q: Find a and b so that the function is both continuous and differentiable. a= 76 b= 80 Note: You can…

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Q: Unit 3: Rational Functions Examples: Solve the following rational inequalities algebraically. Verify…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x, y = 2√x…

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Q: 4. Calculate fx J₂ dx

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Q: f(3) = X f'(2) = 2 3 f(x) -1 f'(x) 7 g(x) Given that f(x) and g(x) are differentiable and that…

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Q: 7. Write a formula for the triple product rule, the derivative of p(x) = f(x) · g(x).h(x)

A: Given query is to apply triple product rule

Q: Find the periodic payments PMT necessary to accumulate the given amount in an annuity account.…

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Q: is thrown straight down from the top of a 470-foot building with an initial velocity of -23 feet per…

A: Given query is to find the velocity different points.

Q: find the function that is finally graphed after each of the following transformations is applied to…

A: Concept: Graphing  Shift up 2 units: The function is added with 2 units Reflect about the y-axis:…