following

Q: Problem is attached! Need help, Stuck! Please and thank you!

A: We have to find derivative of integral .

Q: Determine the convergence or divergence of the series, stating the answer as we have done in class. ...

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Q: hello guys. can you solve it? thank you...

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Q: Let flxiy) = Rx Jy 27 %3D a) Finid the gradrent of f b) Find the directional derivative of f at the ...

A: Consider the function as  fx,y=2xy

Q: Q No 2. Find the area of the region enclosed by the curves y? = 4x and y = 2x – 4 By integrating (a)...

A: Given: y2=4x……1y=2x-4……2   To find area of the region enclosed by above curve: (a) By integrating w....

Q: Problem is attached! Need help, Stuck! Please and thank you!

A:

Q: Please help with #5 and #6

A:   To find the value of x we will use Pythagorus Theorem, i.e., H2=P2+B2 And the Trignometric functio...

Q: Solve and sketch the following curves, thank you!

A: the given equation of the curve is: y=x2e-x we have to solve and sketch the given curve.

Q: Integrate using indicated method

A: We will use the substitution : x = sec(θ) and then proceed as follows :

Q: What is the difference between the distances covered by both athletes?

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Q: Differentiate. 5x F(x) = 20 F'(x) =O

A: Before the differentiation Multiply log both sides given equation. After Differentiate with respect ...

Q: Graph the pair of equations on the Same Qxes, and tate whether they are parallel, pâpendiculag 4= 3x...

A: Given- y=3x+14 and,y=3x+2 To Graph- The above pair of equation of line and state whether they are pa...

Q: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to...

A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n isd...

Q: k. Brain weight A grams was modeled to be a function of body weight B grams for a mouse, according t...

A: Given: Brain weight A grams was modeled to be a function of body weight B grams for a mouse, accordi...

Q: Kindly help me solve the following problems. Show details and illustrations. Thank you! An LRT train...

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Q: Q No 1.(a) Find the area enclosed by the curve y = V, the tangent to the curve at x = 4 and y axis. ...

A: Area enclosed is the bounded area between the graphs for given curve. Required area can be easily ca...

Q: Evaluate. Check by differentiating. /x+ 13 dx

A: ∫x3x+13.dx

Q: Consider the following integral where D is the shaded region given in the figure below + y 4 Then by...

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Q: A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total are...

A: Given :        Let x = side of base which square shape              y = height Total area for five s...

Q: hello guys can you solve it? thank you

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Q: There are 3 steps

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Q: To produced x units of notebook, Aspen's notebook company finds its cost function as described by th...

A: Given- Cx=30x2+400x+50. To Find- The marginal cost function and marginal cost function after produci...

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7) ...

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the functi...

Q: Find the volume of the solid that lies under the paraboloid z=x5+y5 and above the region y=x2 and x=...

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Q: pls answer number 2,3,4 and 5 thank you

A: Here we have,  2) If g(x)≠0, then f(x)g(x) is always equal to f(x)g(x).  3) The limx→af(x)+g(x) is a...

Q: Problem is attached! Need help, Stuck! Please and thank you!

A: Given: a ∫2sinx-5x+5xdxb  ∫x6x-x3/2dx

Q: The region bounded by the curve (y = x2 + 5) and the line (y = x+7) is revolved about x-axis to gene...

A: The intersection points of the given curve and the line is calculated as follows: x2+5=x+7x2-x-2=0x=...

Q: Consider the plane 2x + 5y + z = 10. find the surface area of the plane in the first quadrant. Exact...

A: To find the surface area of the plane 2x+5y+z=10 in the first quadrant

Q: Differentiate. + 5x f(x) = e x2 f'(x) =O

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Q: Use the Squeeze Theorem to find the limit of the ff. functions

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Integrate using indicated method

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Q: critical point and

A: we have f(x,y)=6y2+4x2-12xy-4ywe have to find the critical point and find local maximum.

Q: 9- (3 – |x – 3|) dx

A: Given: ∫063-x-3dx

Q: The figure to the right shows four regions bounded by the graph of y=x sin x: R,, R2, R3, and R, who...

A: Given-   To Find- The value of∫03π2xsinx dx. Property Used- ∫abfxdx=∫acfxdx+∫cbfxdx, if and only if,...

Q: Find the vectors that satisfy the given conditions

A: Explanation: Given that,  Vector u=-1,0 find the length of this vector  length of vector u = u=(-1)2...

Q: Answer everything

A:

Q: This question

A: The characteristic equation is given by A-λI=0. First, solve the characteristic to find the eigenval...

Q: Evaluate the integral. 9. dx (x² – 1)3/2 Need Help? Read It Submit Answer

A:                                       ∫26dx(x2-1)3/2

Q: Sx(4x2 +3) dx

A: ∫x(4x2+3)6 dx Let t=4x2+3 dt=8x dx xdx=dt/8 We substitute the values in the given integral.

Q: pls answer fast =)

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Q: Find all points of inflection of f (x) = In(1 + x²) O -1, In2), (1, In2) O (-1/sqrt(2), In(3/2)), (1...

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Q: Evaluate the definite integral: I (x + x*) dx 2/3 O 1/3 O 1 None of these

A: The definite integral is given as ∫-11x+x2dx

Q: Help me

A: Given :            x - 2y + z = 0 y + 2z = 0x + y + 3z = 0 Rewrite the system in matrix form and sol...

Q: 2. Consider the three functions below: S(z) = 2z S(z) =r S(x) = 2"

A: fx=2x,fx=x2 and fx=2x (a) Take the value of x as -2,-1,0,1,2,3. x fx=2x fx=x2 fx=2x -2 -4 4 14 ...

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 7 cm. If the area of p...

A: Take w to be the width and h to be height. Given the area of the printed region is 386 cm2. So, wh=...

Q: Problem is attached! Need help, Stuck! Please and thank you!

A: Given that, f is continuous function on [a,b]. a) ∫ab f(x) = limn→∞ ∑f(xi*) · ∆xi=1n The above state...

Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation y...

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN PL...

Q: Write an equation for the polynomial graphed below 5+ 4 3- 1 -5 -4 3 -2 1 4 5 -2 -3 - -4 -5+ y(x) = ...

A: A polynomial is a function of the form anxn+an-1xn-1+···+a1x+a0 in the variable x. The degree of thi...

Q: w, Graph the system of inequalities. Tell whether the system is bounded or unbounded and list each c...

A: Given System of inequalities are given  x+y≥44x+5y≤405x+4y≤40x≥0y≥0 To do  Graph the system of inequ...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.