If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: 12. Sketch the region bounded by y = √4-x2 and y = -√4-x² for-2 ≤ x ≤ 2. Give a definite integral…

A: We have to sketch the region bounded by…

Q: 2 Find the curvature of the parabola given by Y = X = = x ² a+ x=2 Sketch the circle of curvature at…

A:

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 & y = 5t + 2

Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the…

A:

Q: A person has $40,000 to invest. As the person's financial consultant, you recommend that the money…

A: Let amount invested in Treasury bills is x  Let amount invested in treasury bonds is y  Let amount…

Q: The region bounded by f(x) = -4 sinx, x = π, x= 2π, and y volume of the solid of revolution. Find…

A:

Q: Consider the following. ) = \, P(7, 1), u = i + j y 5 (a) Find the gradient of f. f(x, y) Vf(x, y) =…

A:

Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…

A:

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A:

Q: Use the chain rule to find the indicated partial derivatives. u = xety, x = a²B, y = B²y, t = Y²a ди…

A:

Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

A:

Q: 3. The following equation relates to how an investment will grow over time given an initial amount…

A:

Q: Find a function f(x, y, z) such that V f = (8z, 4y³, 8x). (Use symbolic notation and fractions where…

A: Given that :-       ∇f=8z,4y3,8x  ⇒∇f=8zi^+4y3j^+8xk^  ....(1) Now we know that…

Q: 2. For the vectors a = (1, 2, 3), b = (2, 1, 3), and c = (1, 1, 0), show that the following is true:…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (3x +21) + 1.1…

A: gx=ln3x+21+1.1

Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: Compare the functions f(x) = x³ and g(x) = ex by graphing both functions in several viewing…

A:

Q: J 2x cos(x²) esin(x²) dx

A: Integration of  2x.cos(x2)e^sin(x2)dx  We have to calculate du after suitable substitution

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

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: If the velocity of a moving object is t 2 1² v (t) = 20 2 in meters per second, then what is its…

A:

Q: Find the present value of a continuous income stream F(t) = 20 + 8t, where t is in years and F is in…

A: To find the present value of a continuous income stream Ft=20+8t, where  t is in years and F is in…

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

A:

Q: Evaluate the double integral circles x² + y² = 9 and x² = 9 and x² Answer: SSR y² -dA, where R is…

A: To evaluate the given double integral use the following substitution. x=rcosθ y=rsinθ x2+y2=r2

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x cos(x) dx?

A: ∫xcosxdx

Q: for fage 5 f(x)=(74³-t²45) (15t+4) f(x)= (x²1)(x²2) 6²3)

A:

Q: _et f(x, y) = x+y+xy. Find f ₁² f(x, y)dxdy. Enter the exact numeric answer.)

A:

Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

A:

Q: Find f(x) by solving the initial value problem. 5 f'(x) = 1 +e²+ = f(1) = 7+e f'(x)=1+e*+

A: Given: f'(x)=1+ex+5xf(1)=7+e We are required to find: f(x)

Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

A:

Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x

Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Present value formula is given as for continuously compounded PV = ∫0tk( t )e-rtdt Where  PV is the…

Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

A:

Q: Σ(-1)" √TI 2n + 3

A:

Q: X cos(x) dx?

A: ∫xcosxdx

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

A:

Q: Decide from the graph whether a limit exists. If a limit exists, find its value lim F(x) x→-2

A: If the limit exist then the left hand limit and right hand limit are equal

Q: 10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the…

A:

Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

A:

Q: If f is a differentiable f'(x)=x55x4+ function and 5x³+2, then fis concave up on

A: