Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14 -7 -14 0

Q: Consider the following. u = (-3, 3, 5) v = (0, 1, 6) Find u x v. Determine if u x v is orthogonal to…

A:

Q: Solve the following differential equations of d²y dy dx² +==X dx

A:

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A:

Q: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

A:

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A:

Q: Write an equation for the polynomial graphed below y(x) = N w 2 N

A: Here X intercept of the polynomial is x=-2, x=-1, x=1,x=3 and graph just touch x axis at x=1 and…

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

A:

Q: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

Q: Find the centroid of the given region. (A) (5,15) (B) (3/22,45/61) (C) (5/14,38/35) (8/23,76/111)…

A:

Q: Find exactly T(1) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A:

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Let's find.

Q: Find the partial derivatives of f(x, y) = x³y²

A: Solution ) f(x ,y ) = x3 y2 a) Partial differentiation with respect to x  fx( x ,y ) = 3x2y2 [ y is…

Q: ☎ Q1: If x=² and y=21³ then b) 3 314 ² dx d) at x=4 F others Choose

A:

Q: 16. lim x¹/ x→0+

A:

Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

A:

Q: dy II. Find Do not simplify your answers. dr 2. y= tan ¹(coshr) (sin²x) (sech x)secz S [use…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + √x dy Read It Need…

A:

Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: 3- For what value of c is the function continuous? Provide a well- communicated solution. F(x) = {…

A:

Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

A:

Q: b. 36. Evaluate f(4x³ - 9x5 + 4x² - 6) dx. a. 32x7-45x + 8x + C 32x7 180x³ 4x9 C. b. 3 +8x + C…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Radius of Convergence of a Power Series. (n!)x" Determine the radius of convergence for the series…

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.)…

A:

Q: 1+tan x

A: We have to find the integral.

Q: (measured counter- 1. A circle with radius 2 is centered at the origin (0,0). For an angle clockwise…

A:

Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

A:

Q: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

Q: Solve the following differential equations of d²y_2dy + y = 2x dx² dx

A:

Q: Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 4 4. lim log(x+3)…

A: Given: limx→1-log12x+31-coshcos-1x

Q: 1o. 1 |x-3|dx

A:

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

A:

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: 1. xý + 3y += sin x v2

A: Given :

Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: which of the following sequences is converge or diverge: (²√m) ()}. {!}

A:

Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Assume a (t) represents the acceleration of an object at time t, v(t) represents the velocity of the…

A:

Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

A:

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

A:

Q: 2. Let f(x)=√(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate √0.99 (1.01)².

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

A:

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2-√√x-1 1. lim x-5 x² - 4x - 5 2x…

A:

Q: Method A: Method B: Replacing cosa by 1-sina. Replacing sin by 1- cos². Replacing seca by 1 + tan²…

A:

Q: II. Find Do not simplify your answers. da 1. log, (√2x² + y) + tan(x² − ³) = sin¯¹ (2² − 1) + 2

A: log3(2x23+y )+tan(xπ-πy)= sin-1(x2-1)+π21log(3). 2x23+y 23×23x-13+y'+sec2(xπ-πy).(πxπ-1-πy.…

Q: xg x9-₂x = 1 4

A:

Q: d d Calculate[r₁(t) r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: This question can be solved using the concept of dot and cross product of two vectors and…

Q: P(2,-3,4), Q(4,4,5), T(1,2,7) forms a triangle. find the vector projection of QP parallel on QT.

A: Proj. of QP→ on QT→ = QP→·QT→QT→WhereQP→ = Q-PQT→ = Q-T --------------------------------------------…