The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

Q: Set up the integral to find the area of M, using horizontal rectangle. Let M be the region bounded…

A: In this question , we can set up the integral to find the area of M .

Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

Q: Sketch a graph of a polynomial function that meets all of the following conditions: 3 is a zero of…

A:

Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: . y = x2 and x2 = y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1- What are the disadvantages of the Newton method for solving the following nonlinear systems.…

A: answer is in next step . please give a like

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

A:

Q: The function of given by f(t) = 10e0.07t models the balance in a bank account, in thousands of…

A: Use exponential growth formula for finding the first two .

Q: Find the one-sided limits of f(x). Step 1 of 2: Find lim f(x). x--7 f(x) = -7x-3 -4x² + 4 if x < -7…

A:

Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

A:

Q: S₁ √√x² √√√xª dx 4 -2

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying…

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

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

A:

Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

A:

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

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

Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

A:

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: Suppose F(4)=-4, f(x)cos F(x) dz F(5)= 3, and F'(x) = f(x). 3 cos (3) +4 cos(4)

A: We can evaluate the given integral by using the substitution u= F(x).

Q: Find dy/dx of the following: a. y=sinh-'5x b. y=sinh- c. y = cosh¹ √x

A:

Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

A:

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: y = x² and x² = y

A: Area of the bounded region is

Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…

A:

Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

A:

Q: Ju udv = Uv -Ivdu to Explain why the substitutions below are inappropriate. Let du: = x dx 1.…

A: We can explain why the substitution is inappropriate in the following steps.

Q: Let the vector v have an initial point at (−3, 4) and a terminal point at (-2, 6). Determine the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

A:

Q: 10- 11- 12- In 2 log₂x X 2 log10 (x + 1) x + 1 dx x log10 x 0 S -dx -dx

A:

Q: Assume that f(x) is a function defined by f(x) x²-3x+1 2x1 for 2 ≤ x ≤ 3. Prove that f(x) is bounded…

A:

Q: how do i graph (steps) f(x)=x^2-4x ?

A:

Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: The function f(x) = 7 1+9x² f(x) = 2 chan Σar n=0 Find the first few coefficients in the power…

A:

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: Find the equation of the tangent line to the polar curve r = 2 – sin(θ) at θ = π/3. Draw

A:

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A:

Q: find differential equation of the following equation 1) y' = -x y+x

A:

Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: x 0/x 6+29r² SS S 0 0 0 Evaluate the cylindrical coordinate integral The value is 247 960 (Type an…

A: This question can be solved using the concept of triple integrals.

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

A:

Q: The equation of motion of a particle is s = t3 - 27t, where s is measured in meters and t is in…

A:

Q: A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the tank, is full of…

A: Given problem:- A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the…

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

A:

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.