3. The length of the graph of y = 1½³×³ + DODD 4x between (1, 772) and (3,10) is

Q: (3)

A: We are given the function f(x)=sin(x)*cos(x). This is a product of two functions, sin(x) and cos(x).

Q: I am studying for a test I have tomorrow, this is one of the example problems that will be one the…

A: Step 1:Step 2:More Explanation:Graph: The curve is a parabola because the work is proportional to…

Q: Simplify x²+1 +1 1 1 1 1+ אן X x + X In the least amount of steps please

A: Step 1: Simplify the denominators in the fractions within the numeratorThe terms inside the…

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

A: 12. Take the first derivative, then solve for x when f'(x) to find critical values and the…

Q: Find the value of the constant k that makes the function continuous. 2x²-7x-30 if x#6 g(x) = X-6…

A: Step 1:  Step 2: Step 3: Step 4:

Q: What does the Intermediate Value Theorem say about the function 4 f(x) = x² - 1½ x − }½³½³ 1 - ?…

A: * PART 1: The function is given as:f(x)=x4−21​x−31​ The Intermediate Value Theorem states that for…

Q: - Determine the following: a. S b. S. c. S d. S e. S 1 49-y2 dx 5+Cos²x 2 dx dy x²+14x60 dz…

A: Problem (a): ∫ (1/√(49 - y²)) dy Step 1: Recognize the Standard Integral FormThis integral is of the…

Q: 2x Π Show that the equation sec = 3x π 2 has at least four negative solutions by using the following…

A: iii) Intermediate value theorem states that if "f" be a continuous function over a closed interval…

Q: Answer question 4 first please

A:

Q: Write the differential for y = (3x − 1)³. 2 dy = 9(x − 1)² dx - - О dy = 9(3x − 1)² dx - О dy = (9x…

A: 1. Given,  y = (3x - 1)3 Diffentiating w.r.t x dxd​((3x−1)3) Apply/the/chain/rule:…

Q: Find the values of x Z which minimize 2 N/ 3xy ty and y subject to the constraint 3x-4-1=0

A: Finding Minimum Value Using Lagrange Multipliers Minimize the function f(x, y) = x²/2 - 3xy + y² +…

Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

A:

Q: Given a=9i+8j and b= 10j-7k, find  |a-2b|

A: First, let's define the vectors a and b. In this case, we are given:a = 9i + 8jb = 10j - 7k

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: Hi, could you solve this question?

A:

Q: If 3x 3≤ f(x) ≤ x² - 3x + 6 for x≥ 0, find lim f(x). - x 3 Need Help? Read It Watch It Submit Answer

A: Given:3x−3≤f(x)≤x2−3x+6 for x≥0 To solve for the limit as x approaches 3, we can use the squeeze…

Q: Evaluate the limit if it exists

A: We findlimn→∞​xn​, where x_1 = 1 and xn+1​=5xn​+3​. We can proceed as follows:1. Show that the…

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: The problem is asking us to find the 11th term of the binomial expansion of (2x + 3y)^4. However,…

Q: Piecewise Functions: When a function is defined by different equations on different parts of its…

A: Step 1:Note that this blue does not exist at x = 1Step 2: Step 3: Step 4:

Q: Double check all my work please

A:

Q: A surface is defined by S-xsiny + ycosx Please find and draw the directional derivative of a contour…

A: Approach to solving the question:  Examples: Key references:

Q: Calculus I May I please have the solutions for the following questions? Evaluate the integrals Thank…

A:

Q: For question 59E chapter 13.2 in book calculus eary transcend. Why we cannot apply the negative…

A: The problem is asking about the square of XYZ, which is a product of three variables X, Y, and Z.…

Q: Evaluate the integral. 4+ e-6x e4x dx 1 e-4x (4e6x-4) + C 10 O-4e-10x (10e4x + 1) + C 24 e-6x…

A: Step 1: Step 2: Step 3: Step 4:

Q: the graph below to determine the points at which the function f have discontinuities. For each…

A: Please give me helpful review thanks

Q: e. If z = sin(x + y); x = u² + v²; y = 2uv Find and dz อน dz ди

A: To solve the problem, we need to find the partial derivatives ∂u∂z​ and ∂v∂z​ given the…

Q: For the given matrix A and basis vectors, determine the matrix B for the transformation Ax relative…

A: Solution:

Q: I will rate, thanks!

A: Step 1: concept  Step 2: solution Step 3:Step 4:

Q: Rewrite the complex number z = 7e (3/2)i in a + bi form. Rewrite the complex number z = 10en(3)+i in…

A:

Q: Thank you.

A:

Q: (6)

A: Let x=520​x5=20x5−20=0This can be rewritten as:f(x)=x5−20=0So, we define the functionf(x)=x5−20And…

Q: 21. Prove: a. If and is in (a, b), then y = yo is a solution of on (a, b). f(x,yo)=0, a<x<b, y =…

A: Analyzing the Problem Problem Statement: Given a function f(x, y) satisfying certain conditions, we…

Q: pls help asap

A:

Q: -Using Grammar's Rule to solve the following system (using determinants) 3x1-2x2 = 4 x₁-4x2=-2 Using…

A:

Q: Evaluate the integral. dx S (4x+715 1 + C 24(4x+7)6 4 + C 4(4x+7)4 1 16(4x+7)4 4 + C 4(4x+7)5 +C

A: We evaluate the integral∫(4x+7)51​dx by using a substitution method. Step 1: SubstitutionLet u = 4x…

Q: I am having trouble figuring figuring ot positive and negative infinity when going from left and…

A: 1.We need to find the limit,limx→−1−1​f(x)This is left hand limit of function at x=-1. That is the…

Q: I would appraite it if you could explain

A: Step 1: Step 2: Step 3: Step 4:

Q: 15

A: First, we need to define the parametric equations for x and y in terms of t:x=sin(t2)*40y=cos(t2)*40

Q: If a.b = square root 50 and axb= (2,-9 7), find the angle between a and b

A: Step 1: Step 2: Step 3: Step 4:

Q: Verify by substitution that the given function is a solution of the given differential equation.…

A: ANS :7 ​​Fory1​=exCosx​​  Fory1​=exSinx​​     ANS :12 ​​Fory1​=xCos(lnx)​​ Fory2​=xSin(lnx)​​

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: First verify that y(x) satisfies the given differential equation. Then determine a value of the…

A: Notice: If a computer or graphing calculator is unavailable, the graphs can be plotted by hand. For…

Q: In each of the following eliminate the arbitrary constants. Use at least two (2) methods for each…

A: Methods to Eliminate Arbitrary Constants 1. Differentiation and Combination:-Concept: This involves…

Q: 10. Rationalize the numerator in the following expression. Show your work. Simplify the final √9+h-3…

A: We rationalize the numerator of the expression h9+h​−3​as follows:1. Identify the Expression and…

Q: Given two vectors: : A = 21 + 2j - 3k B = -j+2k Find 1) B 2) AxB 3) A. B 3r

A: Step 1: Step 2: Step 3: Step 4:

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: Find 8 [°³ ° f(x) dx if f(x) = {~ 6 for x < 6 for x ≥ 6

A: To solve the integral ∫08​f(x)dx where the function f(x) is defined as:f(x)={6x​for x&lt;6for x≥6​we…

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: Step 1: identify n=6, a=x, b=y, and k= 4 Step 2: substitute to the formula Step 3: simplify the…

Q: Help find a basis for the subspace spanned by the given vectors provided attach. Whats the dimension…

A:

Q: Please show work so I understand how you solve a problem like this : (see picture)

A: We find the area of the region bounded by the graphs of x = y2 and x - 2y = 8 as follows:  Step 1:…