1. what is the basic concept of a vector?

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: In each of the above problems, the answer is a positive integer. (a) The value of 'a' such that the…

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Q: 3) The initial population of a certain type of animal is 5, 000. After one year, the population has…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use Simpson's rule of find the integral 01²6 -S Sin 2x dx using Six Slices. X

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Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: At JCS Construction Plant, cement mixture is falling off a metal conveyor and onto an inverted…

A: Given query is to find the rate of change of height.

Q: Solve the initial value problem. y" - 9y" - 400y = 0, y(0) = y'(0) = y(0) = 0, y"(0) = 246

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: Set up a definite integral that represents the shaded area. y = g(x) g(x) 8 9 2 4 A √² g(x) dx 3 ⓇB…

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Q: Let y = 3x² + 8x + 3. Find the differential dy when x = Find the differential dy when x = 2 and da 2…

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Q: can you answer question 3 please

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Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

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Q: Find the volume of the indicated region. the region that lies under the paraboloid z = x² + y2 and…

A: To find the volume of the given region.

Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: Expand f(x) = 3x as a half range Fourie.....sine.... series in the range 0.₁FX.. F... ..ans.: f(x) =…

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Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1 following expressions) luxv| + u.W

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Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

Q: √10-x² x = √10 sine x = √10 cote 15. What trigonometric substitution can be used to evaluate a. x =…

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Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

Q: non-permissible values of x for the identity cscxtanx=secx are?

A: non-permissible values of x for the identity cscxtanx=secx are?

Q: 1) (y ²-1) dx - 2y (²+x) dy 2) y² = x €²9-x² =C

A: See the details solution in below

Q: Find the distance between line 2xy + z = 4.

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Q: a) tan 30° 48' 48 00 (30+ 0.81 lan cosech 2.35 tan 30° an 1 ( 30.81 0, 954 } tanh 0,378 0,358 0,358…

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Q: -2x let f (x) = 3x · e¯¯

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Q: The expression f(x+h)-f(x) h for h#0 is called the difference quotient. Find and simplify the…

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Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: Evaluate the following integrals by interpreting each in terms of areas. (²√₁ 1 - x² dx Jo

A: Recall:  Area of circle=πr2

Q: 2.) ff exdxdy

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Q: (2x5-x3-1)dx x³ - 4x

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Q: 2.)fedxdy

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Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: This is a problem related to rate of changes. Based on the general formula and concept we will…

Q: A stone is tosse long will it take

A: Please refer to the image below

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

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Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

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Q: Let 7' (t) = Find a parametric equation of the line tangent to r(t) at the point (59, 0, - 2.303)…

A: Follow the procedure given below.

Q: Question 8 Evaluate: lim-1 (3-22)tan (7). e 3m 01 O None of the choices O e

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Q: 6. Use a triple integral to find the volume of a solid enclosed by the elliptic paraboloids z = 2x²…

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Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: 2.Evaluate the total derivative of u with respect to x for u = 4x4+3y² + 3z² when y = sinx and z =…

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Q: Evaluate: lim-10 2x²+x 0 % O None of the choices 02 00 01

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Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)

A: Topic:- application of integration

Q: Find the volume of the solid formed by rotating the region enclosed by about the x-axis. Answer:…

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Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

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Q: 0 Determine which of the following are singular value decompositons for A = 3 VIS √13 1. |69| 0 3 13…

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Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

A: