16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

Q: b. f(x) = x - 3 x² – 9 2-

A: The given function is,   f(x)=x-3x2-9

Q: 12-2t+tcos(t)-tet-4t2 Given a velocity function v(t) with initial condition s(1) = e, find the…

A: Given query is to find the position function.

Q: = 4x +C

A: Topic = Integraton

Q: A normal vector to the tangent plane for the at the point (1, 1, 1) is: y surface x =

A: A(1, 1, 1)z= xyf(x,y,z) =xy-zfx=yfy=xfz=-1Normal vector to the tangent plane for the surface;n^…

Q: 3. Evaluate the following using Integration by Parts, Algebraic Substitution, Trigonometric…

A:

Q: 7 sin x Let f(x) 2 sin x + 6 cos x Then f'(x) The equation of the tangent line to y = f(x) at a =…

A: Given problem:- f(x) =7 sin(x)/(2 sin(x) +6 cos(x))  Find:- f'(x) and equation of tangent line at…

Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

A:

Q: Hiw/

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of  PQ.…

A: Given problem:- Find the directional derivative of the function at P in the direction of PQ. f(x, y)…

Q: Please explain to me about Cauchy-Riemann equations

A:

Q: T sec"(evE + 1) dx Vxe-Vx

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Q: Eliminate the parameter on t to write the parametric function as a Cartesian equation in y = form.…

A:

Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

A:

Q: 4. Calculate the integral, f 4e" sinh x dx.

A:

Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

Q: if a person takes a prescribed dose of 5 mg of Valium, the amount of Valium in a persons bloodstream…

A: Here, the given function is: A(t)=5e-0.0144t is the amount of Valium in a persons bloodstream at…

Q: | cos(Vx) dx A 2 Vx sin (Vx) - 2 cos ( Vx) + C C 2 Vx sin x (Vx) - 2 cos (Vx) + C B 2 Vx sin (Vx) +…

A: To evaluate: I=∫cos xdx Substitute x=u⇒12xdx=du⇒dx=2udu So, I=∫cos u 2u du=2∫u cos u du

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Here, the given vectors are P(-3,1,5), A(1,1,0) & B(-2,3,-4)

Q: 7.5 Identify the marked points as being an absolute maximum or minimum, a relative maximum or…

A:

Q: cos x 3. y = tan (3x)cot (3x) 4. y = 1+sin x 5. y = arctan (3x5) 6. y = x arcsin x+ V1- x²

A: Note:- As per your demand we solve question 3,4,6 for you   Given problems:- 3.  y=tan(3x) cot(3x)…

Q: Y1 = x² + 2x + 1 Y2 = 2x + 26 dx y2 35 30- 25 20- y 15 10

A:

Q: The definite integral of S ds = S (;t² – t + vo) dt is s – s, =;t³ - t2 + v,t 4 5

A:

Q: Sx*e-2x dx e-2 (2x* + 4x³ + 6x² + 6x + 3) + C 4 A e-2x (2x* + 4x3 + 6x² + 6x + 3) + C B -2x 3 x*…

A:

Q: lim g(f(2)) = * - 00 lim g(f(2)) = |0 lim *-1+ g(f(2)) = 00 lim g(f(x)) -00 *-2-

A:

Q: |(x + 1)°sinx dx -(x + 1)³ cos x + 3 (x + 1)² sin x – 6 (x + 1)cosx – 6 sinx + C (x + 1)³ cos x – 3…

A:

Q: 2. Find the limiting values of 3x? + 5x- 4 (i) Sx?. as x → oo x +7 x? + 5x-4 (ii) 2x? - 3x + 1 ás X+…

A:

Q: 7 In this example, we will verify the identity 1+ tan? x = sec? r. (a) First, rewrite the left-hand…

A:

Q: (-1,3) -2,1) (0,1)

A: Topic = Functions

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: Solve this q3 as soon as possible and not use p. Take (p=6) and solve this plz with p=6

A: Follow the procedure given below.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: nd sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 3. The following curves bounds a certain area: y = 4x – x2 y = 4 and x = -2 Determine that area.

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1) Vw(19, 5, -1) =

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Q: Find the gradient of the function at the given point. g(x, y) = 4xey/x, (11, 0) Vg(11, 0)

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Q: [2] Find the infinite sum S below consisting of the terms of a geometric sequence. 1 S= -- -+ 4 8.…

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Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) – cos (2x) 2. y =…

A: Solving question number 6

Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

A:

Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

A:

Q: 【コxマー52

A: Given problem:- ∫x2x2-53dx

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z…

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Q: Sx*e-2x dx A -2x (2x +4x3 + 6x2 + 6x + 3) + C e-2r (2x* + 4x3 + 6x2 + 6x + 3) + C В - 4 x*e-2x -…

A: Please see the answer below.

Q: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: What does the notation AV12, 2.5) mean? It is the instantaneous velocity O It is the average value…

A:

Q: 1. Let Ā = (-1,2, 3) and B = (4,–3, 1). Find the following. c. [2Ã] – |3Ē| d. [2Ã + B|B a. JĀĪĒ –…

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Q: DSk = 4x +C = 4x

A: here ?∫ dx = 4x + c now we can differentiate both side so we get the function f(x) = 4 so here…

Q: In V3 dx 1+e2cx

A: