10. y+y=0, y(1) = 3 (k = constant)

Q: Evaluate the following integral (x² cos 2x dx Evaluate the following integral y = fe* cosx dx x-5…

A: Ans 1 page 1:Ans 1 page 2: Ans 2 page 1:Ans 2 page 2: Ans 3 page 1:Ans 3 page 2: Ans 4 page 1:Ans 4…

Q: Evaluate the integral. x²-2 X' 8 dx S 2 Χ 2 Χ - .8 dx =

A: Step 1:​I=∫x8x2−2​dx​I=∫x4x2−2​​dx​Step 2:​Substitute…

Q: Find the derivative

A:

Q: A. f sin³x cos2x dx B. sin 2x cos 3x dx C. f 8 sin*x dx

A:

Q: Show calculation steps

A: Compute the definite integral:∫14​tan−1(x​−1​)dxFor the integrand tan−1(x​−1​), integrate by…

Q: Suppose we would like to approximate 33 f(x)dx using six (6) midpoint rectangles of equal width.…

A: Step 1: solution of first Step 2: solution of second Step 3: Step 4:

Q: Help

A:

Q: 10. 9. a. Determine the points in the interval (0,5) at which the function f(x) has discontinuities…

A: 9  Part (a): need to determine the points in the interval (0,5) where the function f(x) has…

Q: 2) For the equation x + y = 1, find and simplify dy (a) dx d²y (b) dx²

A: Step 1: Step 2:

Q: 4. Please answer all parts to the following diff eq. problem:

A:

Q: Previous Problem List Next (1 point) You have a cone shaped bag. At the bottom of the bag is an…

A: To solve the problem, we need to calculate the height and radius of the cone.Given:Orange: radius =…

Q: Evaluate the integral. √ √₂t dt 07 ○ 21 ○ 29 ○ 19 22 22 22

A:

Q: Hide AnswerHide SolutionTry Another Consider the following vectors. (9, 3, 1), (−1, 1, 0)…

A: The given vectors are:A = (9, 3, 1)andB = (-1, 1, 0)

Q: ASSIGNMENT: SOLVE GRAPH 3.) Center (-1,-2), passes through P(5, 2)\

A: To solve the problem, we need to find the equation of the circle and then graph it. Step 1: Find the…

Q: A professor wants to predict students' final examination scores on the basis of their midterm test…

A:

Q: Find a function y=f(x) satisfying the given differential equation and the prescribed initial…

A: First of all,We will basically integrate the both sides of given differential equation.After this,We…

Q: The principal unit normal vector 1 7 14 (11-8,9) 1 √√266 (-11,-8,9) 266 (11-8,9) 1 714 (-11,-8.9)…

A: First, we need to find the derivative of the curve R(t) = (t, t², t³). The derivative of a vector…

Q: 16. a. b. Find the exact sum of each series. n=0 00 3" 12" n! (-1)"²n Σ 42n+1 (2n+1)! n=0 C. 00 n=1…

A: The nthDegree Taylor's polynomial of a function f: The nth degree Taylor's polynomial of a function…

Q: Evaluate the integral. Jan01-45 S S 4y² √1-4y5 dy = ...

A: STEP 1: STEP 2: WRITE AS A SINGLE FRACTION

Q: Find the nine second partial derivatives. w = x²y3+9xyz - 2yz W XX E W xy || = W XZ = Wyx Wyy Wyz =…

A: First, we need to calculate the first partial derivatives of the function w = x²y³ + 9xyz - 2yz with…

Q: Use substitution to evaluate the integral. √s s 1/3 sin(s4/3 +2)ds Ss1/3 sir 3 sin(s 4/3 + 2)ds =

A: To solve the given integral using substitution, we'll follow these steps:The integral to evaluate…

Q: the graph of f is solid curve/dotted line curve/dashed line curve graph of f' is solid curve/dotted…

A: Step 1: Step 2: Step 3: Step 4:

Q: Im having issues with the explaination part. I see where I get the height and longer base, but im…

A: Step 1:Trapezoid with Non-Parallel Sides Known:  If the lengths of the non-parallel sides (legs) are…

Q: ☐ ☐ 12. A car which begins at position d = 0, travels according to the following velocity function:…

A: If you have any questions let me know in comment box thankyou for your question.

Q: a refrigerator cost $500. because of a scratch, the sales clerk has to mark it down 8%. how much…

A: The original price of the refrigerator is $500 and the discount rate is 8%.

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=5x2…

A:

Q: : +♡ العنوان solle Anotsmi A: Find the range and domain of of focos2 2x-3 C: If B: Find a formula…

A: Step 1:Step 2:Step 3:Step 4:

Q: Does the following matrix have an eigenbasis? [1 1 11 A = 1 0 1 [1 1 0]

A: ### Step 1: Find the Characteristic PolynomialThe characteristic polynomial of a matrix  A  is given…

Q: PLEASE help with determining the intergrals, include details.

A: Step 1:Step 2:

Q: 3. Compute the line integral of f(x, y, z) = x² - 4y + z³ along the path C = (2t,t +2, t²), 0 ≤ t≤…

A: To compute the line integral of the function  f(x,y,z)=x2−4y+z3  along the path  C=⟨2t,t+2,t2⟩  from…

Q: Hi, could you solve this question? part a and b.

A: Detailed explanation: Part (a) 1. Find a normal vector to the plane T.The equation of the plane T is…

Q: how to derive the cross product formula: |u x v| = |u| x |v| sin (angle)

A: Step 1: To derive the cross product formula |u x v| = |u|.|v| sin(θ), where u and v are vectors, and…

Q: Evaluate the given integral by making an appropriate change of variables. SL 7 x4y 7x-y R dA, where…

A: Step 1: Step 2:

Q: 1. Find the inverse of the following function: f(x) = x² + 2x-4. Restrict the domain of f(x) such…

A:

Q: Evalúe usando cambio de variable: Sobre la región R Y=4x2 y=x XY=1 X XY=5 2 foxy dA R

A: The required area of the region is 8 ln(2).

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

A: Step 1: Identify the formula for the cross product (ex: a x b) of two vectorslet:a and b be vectors…

Q: 6) Find lim (1-2x)= 17100

A: Step 1:Given limx→−∞​(1−2x)x1​Consider y=(1−2x)x1​Thenlimx→−∞​yThe expression is y=(1−2x)1/xStep…

Q: Explain how to solve

A: The graphs of two equations and the region bounded is as follows:f(x)=sin(x)f(x)=sin(2x)0≤x≤3π​ To…

Q: 1) - 3dx 2) (2-3x)² dx 3) x sin (2x2 - 1) dx (2x-3)2 4) sin3x cos² 3x dx

A: Step 1:Step 2: Step 3: Step 4:

Q: I would appraite it if you could explain

A: Step 1: Step 2: Step 3: Step 4:

Q: please Help with Calculus question

A: We are given a table of values representing the rate at which a combine harvests soybeans. We need…

Q: Find the direction cosines of vector (4, -8,-8)

A: The direction cosines of a vector are the cosines of the angles that the vector makes with the…

Q: 2 Find the second derivative of y = 1½ cos² x. Oy" = COS x 2 y" = COS X sin² x cos² - Oy" = sin² x =…

A: Q.Consider, y=21​cos2x Differentiate with respect to x. y′=21​dxd​(cos2x) Use formula:…

Q: Calculus I May I please have the solutions for the following questions? Thank you

A: Here's the handwritten solution:

Q: 12. Find the radius and interval of convergence of the power series n=0 (x-4) √5" n 18. Find the 3th…

A: Step 1:Step 2:Step 3:Step 4:

Q: A. find dy/de if 0+5 y = 8 cos 0 y = ln B. find dy/dx if C. Using the rules of logarithms, rewrite…

A: Step 1:Let z(x)=f(g(x)). Then the chain rule states: z′(x)=f′(g(x)).g′(x) (A.) It is provided…

Q: 5) Find lim x-0 sing+tanr

A:

Q: Resolver

A:

Q: find the antiderivative F(x) of f(x) = −7+6 sin(3x). Of(x) = = ― -7x+6 cos(3x) + C ○ f(x) = −7x − 2…

A: ###(A)To find the antiderivative  F(x)  of the function  f(x) = -7 + 6 sin(3x) , we need to…

Q: Find the following limits, if it exists. a. lim x²+2x-8 x+4 x-4 x-2 b. lim x-2 √2x+5-3 Factor…

A: Step 1:  Step 2: Step 3: Step 4: