Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

Q: Find the average value of f(x) = 2x3 2x² 3 3 Submit an exact answer using fractions if needed. + x -…

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Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: The graph below shows a function f(x). Determine whether each of the following integrals would be…

A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: Question 1 of 9 Calculate the future value of each of the following investments. Round the answers…

A: I am attaching image so that you understand each and every step.

Q: 5. Estimate to 4th place accuracy, i.e. within 0.00005 of cos(2º) using its Mac- xpansion. Justify…

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Q: Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

A: First write this in vector form then put this on the graph.

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

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Q: Find

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Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A: Solution is here

Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: 4. Multiply: 7(cos 15° 5. Using your answer 1/4.

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Q: 3. dy dx + y = 2xy²e²

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Q: 9 The slope of the function ƒ (x) = 8 - 2x is _____. -8 -2 2 8

A: here we have to find the slope of function  so we have to find dy/dx so differentiate the function

Q: Find f(x) if y = f(x) satisfies dy 35yx4 dx and the y-intercept of the curve y = f(x) = = f(x) is 2.

A: In this question we have to find f(x).

Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: dy at t= is (not that these functions in N) dx a) -1 b) 0 c) d) 1 e) others Q5: If y=tant and x =…

A: The objective of the question is determine the derivative at given point and choose the correct…

Q: OA-3 Close Date: Wed, Jun 1, 2022, 11:59 PM Question 3 of 9 Meadow Company wants to invest its net…

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: 4. 2ydx + (x x³y³) dy = 0

A: Here we have to solve the given differential equation

Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power…

A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

A: I am attaching image so that you understand each and every step.

Q: dx x √16-x² dx

A: To find out the integration.

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sel: 2L = 2πT 4 44 L=# -41 2tr 4T 2TT 21…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

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Q: x³ cos x dx

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Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(1.2) and y(1.4), of the…

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Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: 6. [ sinxcosxdx

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Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: (9-x) ₁/x = (x

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Q: 10- 11- 12- In 2 log₂x X 2 log10 (x + 1) x + 1 dx x log10 x 0 S -dx -dx

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Q: 1 St √√x" dx 4 1 S²₁ (x) ³² (X) 5 JX

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

Q: Suppose that a company's production for Q units of its product is given by the Cobb-Douglas…

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Q: Say whether the following statements is true or false 1 x = ²( ² ( ² + 2) = = = √( ²³ sin2t.dt 1. +4…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: 4 + 5x² 4x + x³ dx

A: