Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the following is equivalent to v = (-4, 3)? r 9

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0) = - 4, u'(0) = - 6,…

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Q: Let f(x,y) = 5xy4 + 5x²y. Find 224 ах = a²fa²fa²f 1 2' ахду' ax2' ay²' and 224 дудх

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Q: Find the indicated sum. 4 Σi(i+5) i=1 4 Σ i(i+5)= (Simplify your answer.) i=1

A: S=∑i(i+5)i=14

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: If lim X-5 f(x)-8 X-4 lim f(x)= X-5 = 1, find lim f(x). X-5 (Type an integer or a simplified frac

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Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: Differentiate the function. F(t) = (3t - 5)² F'(t) =

A: Let's differentiate given function.

Q: Find the values of sin(0), cos(0), and tan(0) at the given points on the unit circles in the figure…

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Q: 1 x 69. g(x) = ₁ ₁³ + 14 dt 3

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: The indefinite integral ſ(4x – 4)e¹ª dx can be evaluated using integration by parts. Even though you…

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Q: (c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: a. Find dy CLIC

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: You are attempting to evaluate the integral What trig substitution would you use to simplify this…

A: Given the integral is ∫9x2-9x dx

Q: 1. Evaluate: 1 1+x+x\ L₂FF dr

A: Given integral is ∫-2111+x+xdx

Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: Let H be a function (in cm) which models the average height of a month old pea plant if given w L of…

A: Let H be a function in cm which models the arerage height of a month old pea plant if given w L of…

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

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Q: A force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: Given that, Force required = 6 pounds to hold spring streched 0.6 feet beyond its natural length. To…

Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

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Q: If ["F(x) 1.2 f(x) dx = 7.2 and nd ["fix) dx = 5.6, find [° F(x) dx. X

A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

Q: Question 4 moriro 4. Simplify the following. Show all details and leave your answer with only one…

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Q: Solve the integral by substitution S- dx. -2x √25-x² Use the math type button tool ( √ ) under the…

A: We need to find out the integration by the use of substitution method.

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: Find solutions to the equation 5 Tan²x + Tanx = 2 on interval [=17, 27). Round Solutions to 4…

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Q: 17. f(t) is the graph shown below and g(x) = f f(t)dt. Find g(0), g(1) and g(4). D 2 3

A: Let's find value of g(0),g(1) and g(4).

Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min.…

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Q: find either lim 5x3 x→∞ ex one that takes less time!) Find lim (1 +5)* X→∞ 5x3 x→0 ex-1 or lim using…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Find the quadratic function f(x) = ax² +bx+c that goes through (3,0) and has a local maximum at…

A: Given that a quadretic function f(x)=ax2+bx+c that goes thorugh (3,0) and has a local maximum at…

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

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Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: d) xy' + (1+x)y=e* sin(2x)

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Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: your answer State the leading term of x4 + 3x6 - 7x⁹ - 10. The leading term is -7 × Edit

A: To find leading term

Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: Use the function below to determine if the following statements are true or false. f(x) = log5…

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