3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

Q: Consider the function f(x, y) = 2ye" and the region R = {(x, y)|0 ≤ x ≤ 1,0 ≤ y ≤ x³}.

A: Given: f(x,y)=2yex7

Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A: Note:- These are multiple subparts question and we can solve maximum 3 sub parts. So i am solving…

Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: Given function f( t ) = 1a( 2t3 - 15t2 + 45 )

Q: Write the parametric equations for the tangent line to the curve of intersection of surfaces…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

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Q: about the y-axis. 1 1 =²-mx, 1 ≤ x ≤ 2, Find the surface area obtained by rotating the curve y =

A: The equation of curve is given by y = 14x2-12lnx, 1≤x≤2 To determine: The area obtained by rotating…

Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: The region bounded by x=y and x = √y is rotated about the line y = -2. Which of the following would…

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Q: Determine the volume obtained by rotating the area enclosed by y = x(2 - x) and y 0 about the line x…

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Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

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Q: A class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

A: The graph of function y=ft is given as ,

Q: Find the cross product a x b. a =j+ 6k, b = 2i -j + 5k Verify that it is orthogonal to both a and b.…

A: The given vectors are: a=j+6k, b=2i-j+5k

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: The given integral ∫cos x7sin2x+8sin xdx. We have to find the solution to the integral. Formulas…

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Note: Since, the student has mentioned to solve question no. 9, so we are  solving according to this…

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-

Q: If U and V are positive constants, find the critical point of the function. Use upper case letters.…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To solve the following problem

Q: The cost of manufacturing x electric woks in one day is given by C (x) = 2x³ – 16x² + 4x and the…

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Q: Differentiate the function. h'(x) = h(x) = In(x + √x²-2)

A: Use the derivative of log function.

Q: A volume is described as follows: 1. the base is the region bounded by x = -y² +12y +7 and x = y² −…

A: Given that x=-y2+12y+7 and x=y2-24y+151we have to find volume of object

Q: Determine the intervals on which the function is concave up or down. 1 – 1 t w(t) = +6 (Give your…

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Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: ASAP

A: We have to write the equation of g(x) from the given function f(x).

Q: Solve the equation for the indicated variable. a +4 b+4; for a b a a X +

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Q: The total profit (in dollars) from the sale of x skateboards is P(x) = 30x – 0.3x² -250, for 0 ≤ x ≤…

A: Given Profit function:- Px=30x-0.3x2-250

Q: Replace the Cartesian equation x = y with an equivalent polar equation.

A: given x=y

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

A: Let m be the derivative of y w.r.t x at the given point x, then the slope is m. The equation of the…

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A:

Q: 3. Find the volume generated by revolving the area bounded above by y = ex, bound below by y=and x =…

A: The given curves are y=ex, y=11+x and x=1. From the given curves the bounded region is shown below;…

Q: If n(A) = 28, n(B) = 25, n(C) = 24, n(A n B) = 8, n(An C) = 12, n(B n C) = 7, and n(A U BUC) = 55,…

A: To find n(AΠBΠC)

Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

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Q: Ingrid wants to buy a $15,000 car in 6 years. How much money must she deposit at the end of each…

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Q: Evaluate the double integral over the given region R. Syx cos x da dA R R: -1sys1, 0≤x≤

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Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

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Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: Use the information provided to write the equation of each parabola. Vertex: (-1,9), Focus: (-3, 9)…

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Q: 3. Use the limit definition of the derivative to find f'(x) for f(x) = 7x² + x.

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Q: What is the x-value and y-value of the point of intersection of y=-3x+10 and y=2x-5?

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Q: 8. For which values of r does the following series converge? (-1)" η n=1 -(2x + 4)"

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Q: (d) 4x²y" + y = 0, (e) y" + 16y = 0, Y₁ = √√x ln x Yı Y₁ = cos(4x)

A: see below the answer and calculation

Q: K Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation…

A:

Q: The function f has a continuous second derivative, and it satisfies ƒ(−4) = −5, ƒ'(−4) = 3 and…

A: The solution is shown below-

Q: ind the Laplace Transform of the following functions, using the definition of t _aplace transform 1)…

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Q: Graphs of the position functions of two particles are shown, where t is measured in sec notation.)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…