J = [sen² (4) cos² (4)dy. When applying variable change u= cos , J is equivalent to: O a) fu² (1-²) ² du ○ b) – [u² (1 − u²) ³ du - ○ c) [u² (1 − u²³) ³ di du ○ d) — [u² (1 − u² ) ² du - -

Q: b. |ā + (bx c)|

A:

Q: Find the volume generated by revolving the given plane area about the given line using disc method.…

A:

Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

A:

Q: Q2 Q1 Find the points of intersection of the polar curves r-cos = 0 and 2-cos -r=0

A:

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

A:

Q: find a rule which describes the given numbers in the sequence 2. 1.1/8, 1/27, 1/64, 1/125..

A: Here is the solution:

Q: In September (30 days), the temperature in a particular city reached 100°F on 22 days. Also,…

A:

Q: S Find the derivative of the following functions. Use long method. a. f(x) = 3x² + 5x - 100 f(x) =…

A:

Q: se the formula FV = PMT(1+i)-1 i

A:

Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

A:

Q: The line segment x = 1 - y, 0 ≤ y ≤ 1 is revolved about the y-axis. Find the surface area of the…

A:

Q: 5. lim, A.7 Oi O о O. +D T 7x²+x-100 2x²-5x B 712 NIT D.2

A:

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

A:

Q: 7. y = (x+1)* 9. y = Inlog, x

A:

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

A:

Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: x²-3x-10 x 5 x²-8x+15 9. lim

A:

Q: Q3: A) Prove that eie = ei(0+2x),where k = 0,±1, +2,.....

A:

Q: Consider the following vectors á = 2ī+3j and b = -2ī+ 3k and c = −3ī + k

A: topic- projection of one vector on another

Q: 2. Use polar coordinates to evaluate 2 1. √4+7++5² dy dz. Jo

A:

Q: The range R and the maximum height H of a projectile fired at an inclination 0 to the horizontal…

A: Note: Since, in the image of the question posted by the student, it is not clear how many place to…

Q: Find the equation for the tangent line of the graph of 4 y = x² at (-2, 16). Equation:

A: Here we have to find the equation of the tangent line of the graph y=x4 at (-2, 16)

Q: Find the linearization of the function f(x) = 1 9x+8 √a la π sin (a) L(x)= Find the true values of f…

A:

Q: Let g(x) = 2 f(u) + 3 where . u= u = with respect to x? ○ 2. f' (u) +3 O (2. f' (u) + 3) (2x + 2)…

A:

Q: Which of the following gives the area of the region bounded ㅠ by the curves y = sin x, y = sin(2x),…

A:

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 6y = cos x Determine…

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: Solve the given differential equation. All solutions should be fou dy x6 - 2y dx X NOTE: Use c for…

A: We have to find out solutions

Q: In(1+x)

A:

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: PROBLEM/SITUATION: 1.) Prove that the product xy of two real numbers x and y is nonnegative if and…

A: We have to prove that product xy of two real numbers x and y is non-negative if and only if the…

Q: (x + siny - cosy + 1) dx + (xsiny + xcosy)dy = 0

A:

Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

A: I am attaching image so that you understand each and every step.

Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

A:

Q: The graph of f(z) is given below. Which of the following statements about f(z) are not true? Note:…

A:

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

A:

Q: 6. 1 2 0 *(:) * (****)- 34 G 9 11 B. None of them A. C -11 D. 18 201

A:

Q: Use implicit differentiation to find d²y = dx² d²y dx² if 8y+sin y = x.

A:

Q: Draw a direction field for the differential equation y'= -y(3-y). Based on the direction field,…

A: Given

Q: Q4/ A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: Show that the solution y(t) of the initial value problem has the Laplace Transform y" + 2y' - 3y = 6…

A:

Q: x+2 lim x-2x²+4x+4

A:

Q: Which of the following double integrals will NOT give the volume of the solid bounded above by z = 2…

A:

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: In this question, we need to determine whether the given series converges or diverges.