3 Find the derivative of f (w) = w4 + 10w. Enclose numerators and denominators in parentheses. For example (a - b)/(1+n). f' (w) =

Q: Find the inverse Laplace transform f(t) of the F(s) = ln ( ² s² +81 s² + 16 function F(s) In f(t) =…

A: To find inverse Laplace transform.

Q: The equation 2 dy x² dx is a first-order linear differential equation. Select one: O True O False -…

A:

Q: 10) ²xsin²(x³) cos(x³) dx = f_₂xsin²( 2 3π a)³7+2 c) π 3π b) 2 d) 0

A: Integration

Q: Find the volume of the solid whose base is the semicircle y = √9-x² where -3 ≤ x ≤ 3, and the cross…

A: Finding the volume of the solid : We have to find the area of each square to find the volume of the…

Q: Find the critical numbers h(x) = (x-1) / (x2 + 4) *please use handwriting not typing, I understand…

A: Given query is to find critical points

Q: Set up an integral for finding the Laplace transform of the following function: Jo, 0, f(t) = t. -…

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Q: By determining f′(x)=limh→0 f(x+h)−f(x)/h​, find f′(8) for the given function.   f(x)=2x2   f'(8)=

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Q: 1,5- 0 2 X √4-x² =dx 01-1 2

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Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x)=x+3x³-30x²-124x-120; k=-2…

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Q: Let f(u)=3 root u and g(x)=u=1+6x2. Find (f o g)'(2).

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Let's find areas of the shaded rectangles under the graph.

Q: 11. fcsc¹⁰x cot xdx

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Q: The following differential equation is exact if m=0 dy_ mx²y+5x dx 8y Select one: True O False

A: dydx=mx2y+5x8y

Q: Describe how the graph of can be obtained from f(x) = x². 7 g(x) = (x + 2)²-3 The graph of g(x) is…

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Q: INSTRUCTIONS: Find for... dy dx x² + xy-y² = 4

A: The given equation is x2+xy-y2=4 We have to find the derivative dydx.

Q: Let f(x) = x³ - 10, x= [-15√3, 15√3]. Find the value of c guaranteed by the Mean Value Theorem on…

A: The given function fx=x3-10, x∈-153, 153. We have to find the value of c guaranteed by the Mean…

Q: Let u₁ = 0 -6 -4 0 A. The vector , U₂ = Select all of the vectors that are in the span of {u₁, U₂,…

A: We have to select the vectors that are  in the given span.

Q: Find the domain of the following rational function X+B 7-64 500 Select the correct choice below and,…

A: Domain of a function y=f(x) is the set of all possible values of x for which f is defined.

Q: A box with no top is built by taking a 6-inch-by-6-inch piece of cardboard, cutting ?- inch squares…

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Q: The following differential equation is exact (7x+14y) dy-(8x-7y) dx = 0 Select one: O True O False

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Q: Which graph is a possible sketch of the function f(x) = (x-6)(x+3)³ ? 625 500 375 + 250 125 +…

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Q: Differentiate the function.   y=(6x2-7)/(5x3+1)

A: The given function is; y=(6x2-7)/(5x3+1)

Q: In t​ years, the population of a certain city grows from 400,000 to a size P given by…

A: Topic = Derivative

Q: Question Differentiate the series represented by the function f below term- by-term to find the…

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Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: Find the Taylor polynomial p3(x) for f(x) = 5x¹/³ at x = 3.

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Q: Solve the differential equation. (9 + tan y)y' = x² + 9

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Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

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Q: View the curve (y - x)² + 2 = xy-3 as a contour of f(x, y). (a) Use f(-3, -2) to find a vector…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

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Q: Find the point on the curve y = √4x + 4 which is closest to the point (7,0).

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Q: ​a) Use the Product Rule to find the derivative of the given function. ​b) Find the derivative by…

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the product rule for…

Q: Find the linearization L(x) of the function g(x)=xf(x^2) at x=2 given the following information.…

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Q: RANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: TRANSCRIBE THE FOLLOWING TEXT

Q: Find all the first and second order partial derivatives of f(x, y) = -7 sin(2x + y) + 5 cos(x - y).…

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Q: function, find the points on the graph at which the tangent line is horizontal.   y=x2 +8   The​…

A: Given query is to find the point where tangent line is horizontal.

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 4xy³. = || = )= ||

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given query is to find the rate of change of base.

Q: 11. INSTRUCTIONS: Two cars start moving from the same point. One travels south at 60 miles per hour.…

A: Given

Q: Determine whether the statement is true or false. (log2 9)(log9 2) = 1 True False

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Q: Find f''(x). f(x)=5x2-11x-9/x2

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Q: Calculate all four second-order partial derivatives of f(x, y) = (4x + 3y) e". y) = =

A: ∂ (xn)∂x=nxn-1∂  ∂x(constant)=0

Q: -1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

A: NOTE: Refresh your page if you can't see any equations. . as we know, the range of the sine inverse…

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t​ seconds,…

A:

Q: Suppose a sample of a certain substance decayed to 63.4% of its original amount after 300 days.…

A: Let's find half life of the substance.

Q: Find the absolute maximum and absolute minimum values of f on the given interval f(x) = x / (x2 - x…

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Q: Solve the differential equation. t In(t) dr + r = 6tet dt C In(t) User instead of r(t). r(t) = + 7et…

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: A ladder 10 ft long rests again a vertical wall. If the bottom of the ladder slides away from the…

A: We can solve the given problem by using the concept of derivatives.

Q: Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the…

A: