Q: Solve the differential equation. dp dt = t²p 3p + t² - 3
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Q: 3- Verify the MVT with f (x) = √7x, a=1 and b=16.
A: To verify the mean value theorem for the given function
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A: If the angle θ is in standard position and Px, y is a point on the terminal side of θ, and r is the…
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A: Given y=sin-1(6x+1)
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A: The given data is: If the trough is being filled with water at the rate of 0.1 m3/min dVdt=0.1m3/min…
Q: Suppose that a sequence is defined as follows. a₁ = -3, an=-2an-1+10 for n ≥2 List the first four…
A: To list the first four terms of sequence
Q: Given the Rational Function f(x): = true? Check all that apply. p(x) q(x) which of the following…
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Q: f(x)-f(a) x-a a. Use the definition man b. Determine an equation of the tangent line at P. c. Plot…
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Q: Evaluate the integral by converting to polar coordinates. 3 6² 6² cos(x² + y²) dy dx = 0
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Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate…
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Q: Find the absolute extreme values of the function on the interval. 2) f(x)= x8/3, -1≤x≤8
A: Given: fx=x83
Q: x+y+z = -3 -7 2x - 2y-z = −7 -3x + y + 5z = 5
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Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 12 minutes, 5.75…
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Q: y (x+5)(x + 1)
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Q: (a) Use the information you answered on number 10 to graph the function from that problem. 10) P(x)…
A: (a) The polynomial to be plotted is Px=x4+3x3-3x2-7x+6. The factorization of the polynomial can be…
Q: You plan to invest in an account which pays 4.5% compounded continuously. If the investment period…
A: Given :- AP=Pe0.405
Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10
A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C
Q: Suppose that the cost, in dollars, for a company to produce a pairs of a new line of jeans is…
A: Suppose that the cost, in dollars, for a company to produce x pairs of a new lines of jeans is…
Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…
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Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…
A: Given function:- fx=5x2-6x+6
Q: Find and classify the critical points of z = (x² − 4x) (y² – 8y). Local maximums: Local minimums:…
A: Given function:- z=x2-4xy2-8y
Q: A radioactive substance with decay constantkis produced at a constant rate ofaunits of mass per unit…
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Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +
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Q: An anonymous survey of college students was taken to determine behaviors regarding alcohol,…
A: Note:- This is having multiple sub parts and according to company we can do maximum 3 sub parts so i…
Q: If f(2)=6 and f'(2)=-4, approximate f(1.9) and f(2.1)
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Q: (x+10)² 144 2. Express the equation draw its graph. in its general form, find its elements and…
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Q: 6349 #3 p. 114) Let y = f (x) = 1/4 x^2 + 3/x. Find the increment ∆y and differential dy. Find the…
A: Here we have to find the dy.
Q: Select the correct answer from each drop-down menu. The function y = sin³ is COS function, and the…
A: To determine whether the given functions are odd or even or neither
Q: Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also…
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Q: (1) Find the summation of the series +++++
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Q: Use the vectors N = 3x - 2y + 12 and M = -1x + 3y + 12 to answer the following questions: A. What is…
A: Since you have asked a question with multiple parts in a single request we would be answering only…
Q: b. For the cylindrical shells method, consider the region bound by y = √r² — x² in the first…
A: Given figure:-
Q: Graph f(x)=sin(x) + 1 in Desmos. Make sure you graph using radians and use the window where -2m ≤ ≤…
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Q: dr d.t Let A be the area of a circle with radius 7. If d.A 3, find when r = 1. dt
A: We can solve this as follows:
Q: Find the exact values of the six trigonometric ratios of the angle in the triangle. sin(0) = 0.28…
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Q: 3. Find the degree measure of the angle given in radians, and draw the angle in standard position.…
A: Here we have to find the degree measure of angle given in radians.
Q: Find the surface area of the part of the plane 3x + 5y-z = 1 that lies above the box 5 ≤ x ≤7, 1≤ y…
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Q: Find the equation of the line tangent to the graph of f(x)=(ln x)5 at x=2. Answer in slope…
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Q: Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1
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Q: Find three angles which are coterminal to -575°.
A: Coterminal angle
Q: ·S₁ 2. x² dx Vx2 + 16
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Q: 2. [121+3 2 + 2r + 3 dx
A: First let the denominator part as a new variable is t . Then differentiate t. And then put all the…
Q: standing 27 from casts an 8-foot shadow. A 6-foot person a street light casts 6 ft 27 ft 8 ft is the…
A: this is the question of application of trigonometry and geometry here triangle formed and we have to…
Q: d. 1 3a+18 = 1 - 8 a+6
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Q: 5) A) 4./00 45'00 5'00 B) D) 458 4500
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Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5
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Q: I want to know why the absolute minumum value is -6.35.
A: Let's solve for absolute minimum value.
Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…
A: Volume of the cone , V =13(radius)2(height).
Q: 2 32 4 5 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table.…
A: We know that graph of y=ax2+bx+c is a parabola , it opens upward if a>0 and downward if a<0.…
Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…
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