Q: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the vect...
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A: Given:- The stopping distance for an automobile (after applying the brakes) is approximately F(s) = ...
Q: By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x
A: To evaluate the integral.
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A: Let us solve the problem using the basic equation of ellipse later we will use different methods to...
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Q: Suppose f and g are continuous functions such that g(7) = 4 and lim 3f(x) + f(x)g(x) = 21. Find f(7)...
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Q: lim z7 I -7
A: We are asked to evaluate the limit .
Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5
A: To solve the following problem
Q: 1
A: In this given question interval is not mentioned for tanx .and we know the range of tanx is R Whe...
Q: EVALUATE
A: ∫ x-3x-1+x2dx
Q: Given the differential equation y" - 3y' = &x2 + 7x – 11 Determine the Characteristic Equation for t...
A: here we have to find characteristic equation and solutions of given differential equation.
Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv
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Q: Show that for every point on the curve r(t) = ⟨etcost, etsint, et⟩, the angle between the unit tange...
A: First we find unit tangent vector any arbitrary point on given curve
Q: II. Solve for the derivatives implicitly. 5. 42'y" - 2x = a" + 4y". 6. = 1
A: Given that: 5. 4x2y7-2x=x5+4y36. xy3=1
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Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...
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Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average...
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Q: Mass-Density Formula of a One-Dimensional Object. Given a thin rod along the x-axis over the interva...
A: We will find the mass.
Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00
A: Topic:- calculus
Q: 3. The population P of a certain small town t years from now is predicted to beP(t) = 35000 + %3D 10...
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Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...
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Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:
A: The given differential equation is:y''+4y'+5y=8xsinx
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A: NOTE: Refresh your page if you can't see any equations. .
Q: 1.)(x + y - 1) * d * x - (x + 4y + 2) dy = 0
A:
Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...
A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...
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Q: Given a function f (x) whose graph is shown below. 3 |h -3 2 -11 2 3 -2- -3 Determine lim f (x). x-1...
A: A graph of fx is given as shown below: We have to determine limx→1-fx
Q: c. A= (0 ) B = ( 4 (15 31 4 use the matrices above to solve A(B+ CX) = D
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Q: Expand the expression. If possible, write your answer without exponents. 4. X, - 5 log 5 3+x² x-5 lo...
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Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:
A: Given
Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...
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Q: If the limit of a function f at x-3 equals -4, then which of the following are true?
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Q: 1.)(x + 2) * t * a * n * y * d * x + (x ^ 2 - 2) * csc(y) * d * y = 0 2.)(y ^ 2 - xy) * d * x + (xy ...
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Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...
A: Given that: x2+20x3+3x2
Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and
A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous fu...
Q: 4. Consider the relation 3x +4y² = 2x . You'll recognize this from precalculus as an ellipse. (a) ( ...
A: Given that: 3x2+4y2=2x
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A: Follow the procedure given below.
Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...
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Q: 1. yʻdx + (x²+ 3xy + 4y²)dy = 0 when y(0) = 1 %3D
A: Given DE is y2dx+x2+3xy+4y2dy=0 and y0=1
Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0
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Q: Use the General Power Rule to find the derivative of the function. g(x) = 4/(6x2 + 5x)9
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Q: A projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of...
A: Topic:- application of integration
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Q: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...
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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)?. 7-6 sin? x...
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Q: . (6xy² – xey + 2y)dy = y(e*y – 2y²)dx
A: Using method of exact differential equation.
Q: Discuss the continuity of the function whose graph is shown below. Your discussion should addres a. ...
A: Given that: Graph of a function.
Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0
A: Given that: 3x(xy-2)dx+(x3+2y)dy=0
Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...
A: