The derivative of sec2 2x(cos2x−sin2x) with respect to x is

Q: The fixed-points of f(x) = (x² + 2) a¹ are 3 and

A:

Q: 7. y' = e² + 2y; y(0) = 2

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: Consider the function f(x)=2x^2 +(−4)x What is the value of the constant of integration such that…

A: Topic:- application of integration

Q: I the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Topic:  application of integration

Q: 1. Evaluate the integral: 2³ cos (dt du

A: Given

Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t…

A:

Q: The radius of the sphere is decreasing at a rate of 2in/min. What is the rate of change of its…

A:

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

A:

Q: 5. Use Cartesian coordinates to evaluate ㅋ yy dv where D is the tetrahedron in the first octant…

A: Let's evaluate given integral.

Q: Evaluate: ₁₂₁(4x²y — z³) dz dy dx J1

A:

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

A:

Q: v (2uv²-3) du + (3u²v² - 3+4v)dv = 0 Ov(u²v² +3u + 2v) = c 2 Ov(u²v² +3u-2v) = c Ov(u²v²-3u-2v) = c…

A: We need to solve D.E.

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece of wire.…

A: We have to find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece…

Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to…

A: Topic = Algebra The maximum height reached by the stone is 196 ft.

Q: 2. Evaluate all of the integrals. b. 2|x - 21 dr

A:

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

A:

Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: A manufacturing company is responsible for designing a can for diced tomatoes which will have a…

A:

Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

A:

Q: x² Define R as the region that is bounded by the graph of the function f(x) = 2 +2, the x-axis, x =…

A:

Q: se local linear approximation to estimate In (0.99).

A: topic- linearization of a function

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

A:

Q: Q3. Evaluate : .. . ܬ 1 ? 2 +y? dy ன்

A: We have to evaluate the given integral.

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

A:

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0,1]. If we…

A:

Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

A:

Q: A payment of $6,500 was made into an account at the end of every 3 months for 12 years. a. If the…

A: Given

Q: If f(x) = ¹ and g(x) = √x² − 2x + 1, then lim [(ƒ(x) · g(x)] is I 1 01/14 0 1 O DNE O None of the…

A:

Q: Be u = x2 + yz, where x = rsin(t), y = rcos(t) and z = rsin2(t), calculate: ∂u/∂r and ∂u/∂t

A:

Q: 3 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A:

Q: 4. A group of management students are creating a business plan for their proposed shoe brand Shoelt.…

A: A group of management students are creating a buiseness plan for their proposed shoe brand Shoelt.…

Q: Example Find dy/dx for the function y = x² In (4x)

A:

Q: CONSIDER A FUNCTION OF R IN R DEFINED BY: x² + 1 X-2 SO, THE EXPRESSION: f(x) - f(3) x - 3 FOR 2 IS…

A: f is a function of R in R defined by  f(x)=( x2+1)/(x-2)  Then expression [ f(x)-f(3)]/(x-3) ?

Q: Using dA = dx dy, set-up the double integral that will find the volume of a solid bounded by z = 1…

A: We need to setup integral.

Q: Write the first five terms of the sequence, give the exact answer: {n+13) n=1 Determine whether the…

A:

Q: What is the derivative of d(z) = cosh (csc z)? O A. d'(x) = csc x O B. d'(x) = - csc x OC. d'(x) = O…

A:

Q: 3 Sx³ e³x² dx

A:

Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A:

Q: Does the following graph represent a function that satisfies the following conditions? f(0) = -2…

A: Here we need to cross check the given conditions are applicable to the graph of the function or not.…

Q: Define R as the region bounded by the functions f(x): = 3 and g(x) = x + 1 between x = 0 and x = 1.…

A:

Q: hat is the concave up and concave down?

A: In terms of the second derivative Concave Up, Concave Down, Points of Inflection,  The graph of y =…

Q: lim x++∞ x² + x e²x + In x

A: To Find: limx→∞x2+xe2x+lnx

Q: Evaluate the indefinite integral given below. [(1 (10-20x4) csc² (2x5 - 5x) dx

A: We have to evaluate the indefinite integral ∫10-20x4 csc22x5-5x dx.

Q: ) Find the area of the region bounded by y = ex, the x-axis and the y-axis.

A:

Q: B) Integrate the following Integral: Je²x sin 2x sin x dx

A:

Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A:

Q: Define R as the region that is bounded by the graph of the function f(x) = isk method to find the…

A: Follow the procedure given below.