Estimate I = = I~|| +21 (8z + 82²)da using midpoints and n = 3 subintervals.

Q: 6. 25x² +9y² = 225

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Q: 7. f(t) 1+ (8) elo bits 0 2a 3a Figure 7.23 Triangular wave Vi t 4a

A: As per the guidelines I can solve only one question

Q: dy dx 1 x(y-3); = 4y

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Q: 3. S sec² x tan² x+4 dx

A: dtanxdx=sec2x∫1a2+x2dx=1atan-1(xa)+c

Q: 4 y-2 ) Answer the following questions about the integral ſf f(x, y)dA=ƒ ƒ ƒ (x, y)dxdy and R 20 a…

A: To answer the following question about the integral ∬Rfx, y dA=∫24∫0y-2fx, y dx dy and a function…

Q: 4 Redure each of the following equations of hyperbolet. in standard form a.) 28x²-644²-28-1284-505=0

A: We need to write down the hyperbola standard form equation.

Q: Determine the value of the third derivative of f at x = 1 when f(x) e(5-2x) 1. f"(1) 2. f"(1) 3. f"…

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Q: A trapezoid has one of its legs perpendicular to both parallel bases. If the altitude of the…

A: According to question,Given,Height of Trapezoid, H = 3 units.

Q: Use chain rule to find x² √y a. Z = əz at r with x = 3rt and y = = ppir

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Q: 5. Find the general solution of y' = y secx a. y=c(secx + tanx) b. y=c(secx-tanx) c. y=csecx tanx d.…

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Q: Please help with part b

A: We will find the required sum.

Q: Q1.2 Part 1: Integral Q1.1 Response: ICGvernment of Western Australia South Metropoistan TAFE…

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Q: u

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Q: COS U = sin(u) = 12/13 cos(u) 5/13 sin(u-): = -5/13 -cos(u-) = -12/13 5 13 and sin u is negative.…

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Q: Suppose you are slicing an 11-inch-long carrot REALLY thin from the greens end to the tip of the…

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Q: 3. Solve (x + y)dy = (x-y)dx x² + y² = c a. b. x² + 2xy + y² = c c. d. x²-2xy-y²=c x²-2xy + y² = c

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Q: 3 2 Let f(x) = x³ (x² - x + 1). Find all values of x = a so that the tangent line to the graph of…

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Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: Volume of a cylinder is given by V=πr2h, where r is the radius and h is the height of the cylinder.…

Q: dy If=3x²-1, and if y=-1 when x = 1, then y= 2 dx

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Q: Q1.5 Carry out the following integrations for trigonometric and exponential functions: a. f(2ex x…

A: (a). The given integral is: I=∫2ex×cosxdx   .....(1) Use the integration by parts: ∫udv=u·v-∫vdu…

Q: 6. Find the differential equation whose general solution is y=C₁X + Czex, b. a. (x-1) y"-xy' +y=0…

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Q: Express the sum without using sigma notation. Simplify your answer where possible. 210920(+1) log10…

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Q: Find the number c which satisfies the conclusion of the Mean Value Theorem for the function f(x)…

A: The given function fx=4x2+2 on the interval -10, 8. We have to find the value of c that satisfies…

Q: Solve the following equations in the interval [0, 2 ]. Note: Give the answer as a multiple of . Do…

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Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: If f(x) = 2+1, then f is continuous at x = −1. x-2' The statement is O a. False O b. True

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Q: Complete the table given the D.E. y(4) + 3y" - 4y = 0 Differential Operator Form Auxilliary Equation…

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Q: 8√x dx 5. √ √x

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Q: 6. Consider the matrix A-41 A = (a) Find the determinant of A. (b) Give a one sentence reason why…

A: The given matrix is; A= 4   1      -1   7

Q: 1. ſ(x² + x)(xª + x−¹ + 2)dx

A: We can evaluate the given integral in the below steps.

Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: x²(1-x) dx = ['₁*²₁₁ - = 0 [² x(1-x)²dx

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Q: Let f(x) = 7x√√/1-x², with domain x € [-1, 1]. Find the area of the region between the curve y =…

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Q: If f(x) = = x+1 1, then 2 (fof-¹) (−2) = x-2' O a. 1 O b. -2

A: Given f( x ) = ( x + 1 )( x - 2 ) let f( x ) = y y =  ( x + 1 )( x - 2 )

Q: For x > 0, the function F is defined by Find F'(x): - Lo In(x) F(x) = F'(x) = (³+3) dy

A: dxndx=nxn-1d dx(constant0=0f(x)=∫lnx2(y3+3y)dydlnxdx=1xlnxn=nlnx

Q: Find the double integral (x + y) dA, where R is the region enclosed by y = x² and y² = 216x. R (Give…

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Q: ndefinite integral. √(√x - 5) ² x² In your answer, enter exponents as fractions and not decimal…

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

Q: Solve using multiple-application Simpson’s 1/3 rule, with n = 4

A: Given integral, I=∫031-e-2xdx n=4 The multiple-application Simpson’s 1/3 rule is…

Q: Use double integration to find the area of the region enclosed by the graphs of y = 5√√x and y = 2.…

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Q: Consider the function F(x) = fx et dt. Find F'(x): Check F'(x) =

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Q: Solve the differential equation x(x + y)y' + y(3x + y) = 0.

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Q: Consider a triangle ABC like the one below. Suppose that a = 36, b = 60, and c= 54. (The figure is…

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Q: Given x = 3 sin (29t) + 29 and y = 6 cos(29t) + 147 (write the answer in number in the box) (i) (ii)…

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Q: etermine the average value of -3- 2 f(x) = x² over the interval [0, [0, 2].

A: Given  f(x)= x2

Q: Find integral 21 P=5 Sin (2x x3 x 10³ It dt- 3

A: To evaluate the following integral.P=5∫02πsin22π×3×103t dt

Q: Find the double integral over the region R. y ax=y² (0, 0) R y=bxc X Assume a = 4, b = 2, c = 4.…

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Q: Which of the following is false about the graph shown below? YA 4+ -4 -3 -2 -1 3+ 2+ 0 -2+ 1 2 3 4…

A: Horizontal line Test:-If a horizontal line intersects the given graph only one time the graph shows…

Q: lim, 0 sinx − x 3

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Q: Evaluate the definite integral: Check ₁²=C

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Q: 5 - 25 + Z² = -1 2x + 34 = 2 -y-27 = 0 (Mabrices), find of 2 Rom Rescaling

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