Evaluate 2T 3 ["* cos³² (w) sin³ (w) du dw. π

Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: accompanying C. Replace row 2 by its sum w (Type an integer D. Scale now 1 by at should be the first…

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Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: 1 2. S- 9y²+64 dy

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' S(t) =…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=87, b=56 take t=10

Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

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Q: Derivative 0 −4x-5 (Hint: Look at the note of section 2.3 example (c) in 0-4x3 0-4x-3 0 -4.x³ 4 d…

A: We can answer the question as below.

Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: Use the method of partial fraction decomposition to perform the required integration. 6x² +22x-23…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Explain why S is not a basis for R². S = {(-6, 2)} OS is linearly dependent. S does not span R². OS…

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Q: 2. Find the gradient of the following functions a. F=x²sin(5y) b. F = x¹yz c. F=x³exy + ²x

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Q: dy The following differential equation is separable as it is of the form dx dy e6x + 5y dx dy h(y)…

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Q: Cmin = 3 Find the critical points c for the function f and apply the Second Derivative Test (if…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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Q: The solution and answers are incorrect

A: The correct solution is given below

Q: Create and draw the sketch of a graph of a rational function. The rational function needs to include…

A: We have to create and draw the graph of rational function.

Q: +∞ Σ n=1 1+ sin² n 10η

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Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

Q: Find the general solution of the differential equation. y(4) + 12y" + 36y = 0. NOTE: Use C₁, C2, Cs,…

A: We Have to find general solution of given Differential Equation.

Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

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Q: Graph O when X5

A: The given function is: g(x)=0 if  x<0x2-5x if 0≤x≤55 if x>5

Q: Moving to another question will save this response. Question 3 Choose the correct answer. (a) The…

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Q: Question 8 If f(x) = x² + 1, choose the correct value of f(x + 1). (a) f(x + 1) = x² + 2 (b) f(x +…

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Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: Let's solve by using newton's law of cooling.

Q: 15 > For the integral (2x² + 6) dx, find all numbers u guaranteed by the Mean Value Theorem for…

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Q: 2x += 2 +플) Describe the phase shift of g(x) = -3tan 2x + an(2x What phase shift? O right left right…

A: Given problem:- Describe the phase shift of g(x) = - 3tan(2x + π/2)

Q: 1. 8. (v³ - 3y + 2)√√9+x²dx + x²dy = 0 (x² - 1)y" + 2y' — (x − 1)(x + 1)² = 0

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Q: Consider the following equation. 6² - x = 36 Find any Intercepts. x-Intercept (x, y) = (…

A: Given equation of curve:- 6y2-x=36  Find:- X intercepts, y intercepts, symmetry and graph of curve

Q: A rectangle is inscribed in a right triangle, 5 by 12 by 13 units. What are the dimensions of the A…

A: We have to find if the box can be constructed in Php 300.

Q: f(x)= (25x^2 +81)/x a. find the critical values of the function. b. use the First Derivative Test…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: CHECKPOINT 3.14 √ √ Rewrite the integral evaluate the integral). x³ √25x² dx using the appropriate…

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Q: 5. Find the volume of the solid of revolution formed by rotating the finite region bounded by curves…

A: Given :Curve :y=x-1 y=x-12

Q: Find the general solution of the differential equation. y (4) - y = 8t+cost. NOTE: Use C₁, C2, C3,…

A: We need to solve D.E.

Q: 6. lim *+ os x ln(x - π) In (ex - e)

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Q: Determine the amplitude of f(x)=sin(4x)

A: I have appended the formula used in the solution of the question.

Q: 3. Find the first quadrant area bounded by the following curves y = arctan x, y = and x = 0 a. 0.391…

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Q: 2. Provide an example of two different rational functions so that: f(x) represents a rational…

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Q: Solve the following initial value problems: A. y(0) = − 5: B. y(0) = - 6: y = y = dy dt 2t

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides…

Q: Evaluate each of the following limits a) lim 5x²-11 2-3 2-1 b) lim ²-2x-8 x-4 x-4

A: a). The given limit is: limx→35x2-11x-1

Q: Find the Laplace transform of f(t) = t cosh 2tsinh 3t.

A: To find the Laplace transform of ft=t cosh2t sinh3t.

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S=(2-x,…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 102 u = 8i + 7j + k v = i + j…

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Q: It tan(x) sec²(x)dx (a) Evaluate the integration by setting du = sec²(x)dx; (b) Evaluate the…

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Q: E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2…

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Q: How much of the sample remains after 20 years? Step 1 After 20 years we have the following. y(20) =…

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Q: Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is…

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Q: 1. Find the divergence and curl of the following vector fields a. F = (1/y²)j b. F=y³z³i+ 2xyz³j +…

A: We have to find the divergence and curl of the given vector fields.