Find the point(s) of intersection of the line x = 1 – t, y = t, z =1– 2t - and the paraboloid z = 8 – x2 – y².

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

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Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2. ...

A: Given query is to find the transformation applied and then graph the function.

Q: Using integration by parts, uV- V du cone for j 3*crc'(3x) sin C3x ) dx solution. dv = du = V =

A: Solution is here

Q: Find the solution of the given initial value problem. ty' + 4y = t – t+ 5, y(1) = 5, t> 0 |

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Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: x³ + 3x dx. x2 + 1

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Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: Consider the function f(z) on the interval 5, 8. Find the average or mean slope of the function on t...

A: Given:- Consider the function f(x) =1/x  on the interval (5, 8). Find the average or mean slope of t...

Q: 12. The time a person studies for a test is variation to success on test. an inverse a direct an ind...

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Q: dive ges. If it conve ges, find the Determine whether the seavence converges or n+1o Sin(n) 3n+ 2

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Q: Find the length of the curve r(t) = for 3 < t < 16. Give your answer correct to two decimal places.

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)  

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: Determine the constants A, B: 2.х — 3 A В (x – 3)(x – 4) x – 3 x – 4 - - +

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Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True Fals...

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Q: Use geometry (not Riemann sums) to compute the integral. dx 3 Enter a pumber

A: The given integral is  ∫12 x3dx

Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...

A: We have to find the differential equation of the Newton's law of cooling.

Q: For the function f (x) = 1 - 1                                       (x +2)2 ,  find the following ...

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Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -...

A: As per our guideline we are supposed to be answer only one question you can repost other question in...

Q: Let f(x) = 5x + 20x². Then the equation of the tangent line to the graph of f(x) at the point (2, 90...

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Q: 21. (MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent...

A: Note -  Acc. to Bartleby guidelines , we are supposed to do only one question . If you want more to ...

Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

A: Find your answer below 

Q: 1 dx x/1+ x6

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Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: Let f (x) and g (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

A: Application of derivative

Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C f...

A: Here we have to evaluate I=∫dxx-10x-15  

Q: 25. n- (1+) n = 1 M 8

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Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double int...

A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a) ...

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.) Half-...

A: The given problem is solved below in detail.

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A: First we find out P(x) using P(x)=R(x)-C(x)

Q: T – 8r – 9 22. Evaluate 4 7² – 8x – 9 *xp: a. cosh -1X – 4 + C. sinh-1t – 4 +C b. 4 cosh -1x - 4 +C ...

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Q: y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0 solve using homogeneous equations

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Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: 2r da

A: Here we will find the integration, 

Q: Find r(r+ 6)° dx. A 12r²+C B 5x5 + 3x*+ 12x³+C

A: Using integration rules &amp; formulas.

Q: Prove that ∀n ∈ Z, gcd(7n + 1, 15n + 2) = 1.

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Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is ...

A: Let's find. 

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: Answer the following True or False: 3 and f(7), S() Is horizontal at z C. 3. Then there exists a c L...

A: According to Rolle's theorem- If a function f(x) is differentiable from x=a to x=b. And the values f...

Q: 12. The method of administering a drug can have a strong influence on the drug concentration curve. ...

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Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle 0 in the range 0 0. V3 ...

A: We know that, relation between cartesian co-ordinate and polar co-ordinates, r=x2+y2 and θ=tan-1yxHe...

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: Given, y = (x – 1)4 (x – 6) We can find inflection point by finding second derivative and equating i...

Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by obs...

A: The limit exists at a point means that ..... LHL left-hand limit of the function should be equal to ...

Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C 2x3+x-+5x...

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