Evaluate the definite integrals using substitution 1.) ²3√5x-1dx

Q: Find the volume of a pyramid with height 16 and rectangular base with dimensions 3 and 10

A: To find the volume of a pyramid with a height of 16 and a rectangular base with dimensions 3 and…

Q: 9. Determine lim f(x), where f(x)= X→-2 a. b. 6 -6 [6, if x = -2 -6, if x = -2 C. d. -2 The limit…

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Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: 6. Find dy/dx by implicit differentiation. (a) sin(x+y)=y² cos.x; (b) tan(xy)=x+y.

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Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: Find the general solution/ particular solution. 1. (D²+4)y=4 cos²x y(0): .y'(0) = 2

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Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: Find a formula for the inverse of the function. g(x) = x² - 4x, x ≥ 2 g-¹(x) = 2+√√-1(-4-x),x≥-4 ×

A: Given that , gx=x2-4x   ,    x≥2 find the inverse of the function.

Q: Question What is the point ony = 2√√x that is nearest to (4, 0)?

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Q: 3.) [₁ y(2y² +1)* dy

A: To evaluate the given integral

Q: a) log (x² - 1) - log (x − 1) = 1 b) log4x x = 2

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

Q: Question: 3.3327x10^-10 m to nm

A: Solution: Given data, 3.3327 × 10-10 m

Q: Find the following antiderivative. J dx (x ln x) In (In a

A: To evaluate the antiderivative

Q: Alarger household produces more garbage, on average, than a smaller household. If we know the amount…

A: We use system of linear equations to solve the given problem.

Q: [Directional Derivatives] Calculate the following directional derivatives. w(x, y, z) = xy^2 / z^2…

A: Directional derivative of the function f(x,y,z) at (a,b,c) in the direction of (x,y,z) is given by,…

Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (y -…

A: We have to solve the given differential equation by Coefficients Linear in two variables.

Q: Find the surface area of the rectangular solid with with length 1 = 9.3 m, width w = 5.4 m, and…

A: Solve for the surface area of the given figure

Q: 15. Find the magnitude and direction angle for the resultant vector, u + v, given u = and v=

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Q: antiderivatives with trig functions

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Q: f(x) = ex/x

A: Given :   critical point equate to zero

Q: Consider the curve given by x = t³ +2t² - 4t + 7 and y = -8t+t². (a) Find the equation of the…

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Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)² at x = 5. *** y=0 (Type your…

A: Given query is to find the equation of the tangent.ln

Q: 1) Consider the functions ƒ(a) = 100 – 2¹ª and F(x) = f(t 1² f(t) dt. i. Write a simplified form of…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: For f(x,y) = Inx+y³, find f (e5,9). 1(e5.9) -

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Q: 60. a. Find the linear approximating polynomial for the following function centered at a. b. Find…

A: Given that , fx=16x32 and a=9

Q: - [P] = [In(1+1²)] dt = IP xp J (e) (d)

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Q: Integrate. 1 Sex- 0 (x-3) ex dx

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Q: Evaluate. 2 0 √2x dx

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Q: Question 6. Find the area of the region outside the polar curve r = , but inside r = cos(40). As…

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

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Q: The velocity function is v(t) = t² — 5t + 4 for a particle moving along a line. Find the…

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Q: A stone pyramid in Egypt has a square base that measures 158 m on each side. The height is 92 m.…

A: Given Data   Base (B)=158 m  Height (H) =92 m

Q: Use the sign chart for f" to determine intervals on which function f(x)= √√x is x-2 concave down or…

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

Q: 3. Find the volume of the curve x² = 4y and the line x = y rotated about the x-axis.

A: Note: As per our guidelines, I have solved one (Question number 3) problem. If you want the solution…

Q: 2x - 7 lim X→2+ x - 2

A: To find the given one sided limit

Q: The velocity of a body is given by v(t) = 2t, 1≤t≤5        = 5t2 + 3, 5<t≤14 where t is in…

A: Given function:- vt=2t1≤t≤55t2+35&lt;t≤14

Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: A graphing calculator is recommended. Use the graphical method to find all solutions of the system…

A: Given  x29+y218=1 and y=-x2+6x-6

Q: 41. Police Investigation Police officer Patricia Malloy is investigating an automobile accident. A…

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Q: Express the number as a ratio of integers. 3.805 3.805805805...

A: Given 3.805¯

Q: How do you measure distance along a smooth curve in space from a preselected base point? Give an…

A: To find: measure distance along a smooth curve in space from a preselected base point

Q: Find the Taylor For n = 2, P₂(x) = For n = 4, P₁(x) = polynomials of degree n approximating cos(2x)…

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Q: hy is the derivative of -1/x^2 = 2x-3 and not -2x-3?

A: use the sign given in the function and differentiate it.

Q: Let f(x,y)=x²-3xy-y2. Compute f(2,0) and 1(2. - 6). f(2,0) = (Simplify your answer.)

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Q: Find f + g, f − g, fg, and f/g and their domains. f(x) = x, g(x) = 8x Find (f + g)(x). Find…

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Q: Determine lim x--9 x²+14x+45 x+9

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