Evaluate J (2a² y +9y³)dA, D is the region bounded by y www 33522 a. 5 O b. 4811 5 OC. None of the choices. d. 26522 24057 5 2/3 x and y = 2√x.

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A: We have to find the dv

Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: If you evaluate the integral expression 12x-1|dx the result is Blank 1 (use fraction or decimal in 2…

A: Application of integration

Q: A company produces computers. The demand equation for this computer is given by p(q) = -5q + 6500.…

A:

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: Power series 2. √n+2 n=o Limit Comparison Test to show that the se=

A: Given is       power series ∑n=0∞(-3)n(x-2)n(n+2)when x=53∑n=0∞(-3)n(x-2)n(n+2)=…

Q: f sin-¹(x) dx

A:

Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

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A:

Q: Find the absolute extrema of f on the given interval. (find the absolute maximum value and absolute…

A: Given, x2+ 4x+2, [-3,0]

Q: crowave oven is stands for the number of units produced. 100 000 C(x) = 0.002a³-0.06x² +120x+5000,…

A: Please refer to the image below

Q: Which of the following is not true? 5 C dx dx Ⓒ Im √² 250x² A S lim o 25-x² o c-5- ₂3 3 dx dx (B) √₂…

A: We have to find the solution

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A: Follow the procedure given below.

Q: Using Trapezoidal method √x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: SOLUTION-

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim X x→0+

A: Solution: a) limx→0+sin xx1x2

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A:

Q: Find the intercepts and the vertical asymptote of x²-2x-3 4 Enter the intercepts as points. (a, b),…

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A:

Q: In evaluating 5 dx S²³² is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.01.…

A: Given

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A:

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: In evaluating 4 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=2.9…

A: Given

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x ≤ (a,…

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Q: Given f(x,y) = ex cos y, Evaluate fx(2,0)

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Q: consider the power series "(x-2)"" √n+2 n=o 1. Use Limit Comparison Test to show that the series…

A: Solution is here

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A:

Q: The interest rate on a GIC is 4.50% compounded quarterly. What is the purchase price of the GIC if…

A: Find purchase price of GIC

Q: Which of the following is not true? ,5 Ⓒ √√² 25²x x² = 11m -√² 25-4x2² dx dx A lim o c+5-0 3 3 dx dx…

A: We have to find out the option

Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

A:

Q: Write z₁ and 2₂ in polar form. Z₁ = -40, Z₂ = √√3+1 Z1 = Z2 = Find the product z₁z2 and the…

A: The given complex numbers,   z1=-40, z2=3+i

Q: In evaluating 5 dx , is same as evaluating_lim_(in(f(x))). Determine the value of f(x) if x=4.6. -

A:

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: Determine whether the given 3-tuple (6, -2, 2) is a solution of the linear system: 2x₁-4x2-x3 = 2 x₁…

A:

Q: where a represents the number (in thousands) of ten-packs demanded each week when the unit price is…

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Q: Iff is continuous on [a,b], then rtf(x) dx = π f(x) dx 1 A True B) False

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Q: Which of the following is not true? 5 dx dx (A) lim S o 25-x² c+5-0 25-x² 3 dx dx So in (x²) B √₁…

A: We have to determine integration

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A:

Q: Let z(t) = 5 cos(t) and y(t) = 3.sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Given that,   xt=5.cost and yt=3.sint

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A: I am about 286.3505 feet away from the base of the tree.

Q: A bank has decided to set its interest rates to compound monthly on all deposits in order to give…

A: We know the compound interest formula:A=P1+rnntwhere A=Principal amount +interest Amount…

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: Velocity of the particle is given by:vt=9sin 3πt

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: I the slope of the tangent line to the parametric curve X = 3 cos (t) y = 2 sin(t) ㅠ R 4 at the…

A: Given query is to find the slope of the tangent.

Q: f and g are continuous on [a,b], then [* Grix)g(x)]dx = [(* F(x) dx)(√° xXx) dx) g(x) A True B)…

A: We will solve the problem

Q: 1. Determine the infinite (oo or -o) limit as follows: x² - 2 (a) lim x2-x² - 3x + 2 sin x 1 x+ cos…

A: Topic = Limits

Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx